| step type | requirements | statement |
0 | instantiation | 1, 2, 3 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOwAAAAqCAMAAACHvEePAAAANlBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABHL6OuAAAAEXRSTlMAme8y+fOJ
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LVkN9wCL7MLV3ANsq/F2CfYfesYgtB/RqFwAAAAASUVORK5CYII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHoAAAAaBAMAAACKg1WNAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMom7Iplm783dEER2
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AAAASUVORK5CYII=
) |
1 | reference | 190 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMEAAAAXBAMAAABACzadAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAq1RmmUTNIjK7EInv
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8MgF4kXpGQduk7HKITHMeMAxUsORnuNAlCgT2ZAY1qdI60Ay8CRd6EQXDavAVabEcjDwRGn5t6ur
b8Ji2ARiv8iOUCmaDmqUHuqks8DDnp8MqH8c8tujNwGtbi2yjF+hpbUGTgE61XwCFvGY1ZHBPd3f
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6oKeDDw4JIvn/u06SAaMubEfdHw6A4o55nwJvCPTyjfpLTE/IaIy8OAKpaF5My962wfyHEowZuqC
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1dkKk+xp0pdbh5lBJUbm+lF8URh40KS5Y3tTfCKBUMG4JtP1lHQQY3QXDHasyBQb+kTwOx/3Yp/C
wIMaGzKUmVhZAarg4d8V4blLWlu6QOBUIbjd4iWJNSxmPuC1wsCDfOFpevF5ljjQz1IAbkuKbRrz
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TkSuQmCC
) |
2 | instantiation | 4, 15, 5, 6, 7, 8 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ8AAAAqBAMAAABfMpQVAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIolEdjKr3RDvVLuZ
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GaupgVMV7k/09FyjsfaqlAqo6DQgsVw/wmIynOfOa/TQzd5jNhnQc7+rU2v7+a+aDsjtxH4yGXAa
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AAAAAElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ8AAAAqBAMAAABfMpQVAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIolEdjKr3RDvVLuZ
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5NXnh1O+XwWOe8VZs35+vXgGvkqaOOc898YpkJgYoFfo2vC/MP6GV5t4exgd87yBdMa/JltnxWl5
Aitfv+Ksxmp5gquhIRRrQ4VmYBKabC+Hd6CxBXbgMuVl/+E3U6Cg4YwpUDLwxH/9D1VynRtNf/lX
AAAAAElFTkSuQmCC
) |
3 | axiom | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKcAAAAaBAMAAAAgbFF0AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.physics.quantum.QPE._best_round_def |
4 | theorem | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASwAAAAZBAMAAAB5kw7sAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAq1RmmUTNIjK7EInv
3XZ/CtNrAAAACXBIWXMAAA7EAAAOxAGVKw4bAAADgklEQVRIx+1XTWgTQRR+2U2yyW6IFgMqUgxU
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D4iC+ObtZneyabRl482BzMzOfG/ny3vfzLwFcF+qcymoZAnnXlbiNa1Q6VL7n9aiaC1lTY1LWh7W
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asNm2D2tDiQDe5i2RFSE37XkayuifOUzq3vodc9yuSeuaYVyuTe6a1rdk6y+QbR2AAzQoFYWHi90
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Dk8Ce9iHN+Bl6r0oOBhpCXlD8c3PqfHEQfwEXgwt0lKuFdFCCDszWwoojtYGVguP8Rd3WFgnrT0b
AdgK1jG+HnmsocdpwqrmDtpCY/n91ISiMBSDGRrRT2SKaDFIH0nRQHG0/CLqohtjHog6LVhZDvzs
BMivDB9g1CTm0NP02MSCqJh34nAbBRi2G7thZtMKkOm1+fqnKk+LIDXg000UT0tZi/+52hriLJQ0
lg6Vm5V+1W5TYRSHL6D0PJP2TmSSz5i0TpLim81w14EcAV/M8FbPLL8IQYK05QjF05LGsXrgpNVs
aWgkac+iMK+aW1VpgJC1a0H4ggrRTFoeckkiu1oz496dFA+n0+eZthR+EYKIsZYCqiiDYM5jQhJK
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69wsCtP3nYKYvoQkMVjhVJl8axfAkqisg/QD5CnzgEVavdwiBAHYiCuYKCetW0kIJ0stsNy2ZgeR
qgZDRuQUFIv8EGC2TBroHQe56WBgAjb/zDbim7rQFcLR9nTMXsSAAN3tJspJS66/OwelFrgB49bs
2ah4LDty3oD1UOQSH7U/Z6eCtcBouh+cAl5EduqwkLk+n61oC0uad8+Pck2LK76F3JIOWrF/T0us
3CfGX7LhI6Xfia7y53Du/m9zewiExZ1tFwAAAABJRU5ErkJggg==
) |
| proveit.logic.booleans.disjunction.singular_constructive_dilemma |
5 | instantiation | 9 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHIAAAAVCAMAAACt8kqtAAAAPFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAo1xBWAAAAE3RSTlMA
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m6dHTHqCmLF/UwosJwluEoc1rcVoxtRmnZ3CcWjuXgyVRwfGNHoKSVmpRdSU7ZYgpDli7r9xgZky
b2efQDop6gJ+m9VFzkn2WiPjy8IE/UgTMNAwZ0iakt10mZU2DoUozCy3TE2vZjSgr1imxZFj7Goe
IZMsOIE0PUm9QTKY6rJZzspW+2gISXXZOWKb7mjawOPru/5uay9FNUjY4i8ze0EG40uoPRbWpixL
lSWLbPAZyR2SH9J3393ZB1ykAvjWnAk5mlogqVslR1fqhhUby1x2W/uwDjxA1ofaIFkQDvP5GcnN
PrLZJ+4sNd6xrF2Ja2F15cd6kDRw2hRYy5/flvrLJ9g6shlAhv3z8A7SCGzbI0PW3QSCFnDZ1ycb
OiZmm3KuowZwDylhM7eC2iZ10o3uew15zqNWSK9CWHXYCU+QqqIoWiWvVVAAHFRXsOkJSYKzCtIq
fYj9Hwlj/znQGYX7SRJGu7CDJO2ZTg7Wler9iXnQLyocNrxRkbFgJGWVRdJumickB4M58cEYj+Vs
m/iHBN2EJH6CeNlGdEUQR/LP035wc7m4RsiD5/L7i8YniH9FsBALcxOKTQAAAABJRU5ErkJggg==
) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6sy
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9jAAAMPIEplEfAWeAAAAAElFTkSuQmCC
) |
6 | instantiation | 10, 11, 12 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAK8AAAAVCAMAAAAHHU5UAAAAPFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAo1xBWAAAAE3RSTlMA
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1i9QUqiF5jpHSpfC/RAlQ6yZQI5zSMv9sNlDu77WR2OXzRxbC50jje9CkCEKZpB87KOWEon7P0Ds
zAa0TIcTfeg3t2tjZIg1U4jvrY/VoEqrdkozmofw452gQSZIhLh+C4qzdiuq0sQzI18Yv1ASIdYQ
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AAAASUVORK5CYII=
) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAK8AAAAVCAMAAAAHHU5UAAAAPFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAo1xBWAAAAE3RSTlMA
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7C7JS7ZUka9QeFHrs2D8zdEMSCfvK2QNVZKId4swSZP9gDNDXXreHkzVTgwOJMAYcoRCfyBzzbx6
U7UUwvroDnedGBArxpC6VWZfNNqrOEW+HOpv/bvEeihWPyp/f8D3PYoO+fyaQGKtCgy1txJZbCeB
1i9QUqiF5jpHSpfC/RAlQ6yZQI5zSMv9sNlDu77WR2OXzRxbC50jje9CkCEKZpB87KOWEon7P0Ds
zAa0TIcTfeg3t2tjZIg1U4jvrY/VoEqrdkozmofw452gQSZIhLh+C4qzdiuq0sQzI18Yv1ASIdYQ
IP3rc4bal+zCGWLWZEgQpykQ844lgJXv9JOBBPGGBBFvvmYU691Szj+jKJA8h3wDUt8V6fUz5jgA
AAAASUVORK5CYII=
) |
7 | deduction | 13 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASsAAAAyBAMAAAD2JOBgAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
8 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASsAAAAyCAMAAAAz1A1hAAAAPFBMVEX///8AAAAAAAAAAAAAAAAA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=
) |
| proveit.physics.quantum.QPE._best_guarantee_delta_nonzero |
9 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKYAAAAWCAMAAAB9nBcwAAAAPFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAo1xBWAAAAE3RSTlMA
q1RmmUTNIjK7EInv3Xbn9enzK1aD6QAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAplJREFUSMfNV4uO
4yAM5E0w4L3b/P+/Hs8EKKR0pZUOVbEUHBgPg+0S8oOhB/ujj3/L/xrIerscAiYvJb5b3jujTuU8
lbc/vaYZ30PJbG+X4zBzGG/3MRGbVpBxJn8h66TaoxdUbx92O+bvFbyHGaBZTczlf1Q6tdkjU/De
rsmkiwkutmByVo46+dfYLNuD6Qa73mx5Oq6nE40PQ01gqtufF1bUpjJVb5dD0uWUag9CKoQpm1Rz
2/i7GIt3dvPMbW8BkcJhX8+ilzpgEgkk7LaJQE+UGq8QoKcVUvIXSekG9mBWJqoNukGKRPgrjhS1
//oTnxceS1hUCT+T2NQqmgumV+70NaElf03rY2d41lmu495AKH8k82A5EJruKWt0rZZXCLksTGf/
SKSVmzCd7Gw8CTHZSva3OezgYppOD3KcN/4suTDMCDOafOzZn+H2BXqBSa69n8iMuM+Y/c4kMHmz
CWbJZsyaebb4K8LLTohCh18ta7QrU7NDTwCCP0Cnzb/fmaL740Q55v2Yb9Z7hKlaf8uKCFBH9ShW
LicJDBxDfjTYWjCSUJeuyJtCY2h9BDE3FCI+wGTY+mtXouZp+1LjNMQocDiVmkyyZecBIsCUfT5i
r3VG0Mg775JZjojNYAYPi1b0yY/e1fdsRBUTFx2iPXxrQQQ2mODsbdUGalGUxb3sJozs3FE5Y+4O
afQvN6/p8OK0G/sHf/T2oYcah81S04MepTV9sRw7zsFfu7RSoBpsQSLPVePw0EBMyIzrgmN7Tcui
2blfoLQYS+yRVgynadSypVi2FnxCpsesoQ9aMbLTugWYEHCY18hrqoPV535SdxnH2tmaD/82PPlH
VYfbI2eK0djbF30//4f4EOWjfyRRcrTk/xj/ANV/FGJuuEFfAAAAAElFTkSuQmCC
) |
| proveit.logic.equality.not_equals_is_bool |
10 | theorem | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIkAAAAVBAMAAACArtDCAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.logic.equality.rhs_via_equality |
11 | instantiation | 14, 15 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANEAAAAVBAMAAAAqbRZ+AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD0AAAAUBAMAAADM7ygkAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnN77uJRKsQdlRm
Mt3eazepAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA60lEQVQoz2NgYBAyCWTABxLYO7FLpC0SAFE4
ZBmYN3A+BNErcMifY2BIBdHzN2CXj2Bg2D8BSLP+xC7/iYHhPlArd/dXrNKcIPkDDAyHGfonIET1
3oHACyCL8RtQfgED40eG/RcuB2DqB8snMHAEMNy/wJGAxXygfP0CBv4DDPcZWC5gd9/+DQzzLwBd
cH9VJ4b9DKEMDOcnMPBfYLBmWDdhEab+IwwMygwMbAu4GxhigGZgAL4NnL5AKmsZA4MvgwYWB6qt
gDnrA4M3j8423FH8kieAO5AXt/ylVQwMBngTCQOjAn55buyxDABMAUcdUsBACgAAAABJRU5ErkJg
gg==
) |
12 | instantiation | 228, 16 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAb8AAAAVCAMAAADhPRB8AAAAPFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD0AAAAUCAMAAAAJH8UlAAAAPFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAo1xBWAAAAE3RSTlMA
IpnN77uJRKsQdlRmMt3n9enzhM4UgAAAAAlwSFlzAAAOxAAADsQBlSsOGwAAARNJREFUOMuVU1t2
hCAMjUEQErAP9r/XJkGnYke0+UA4crkPAoDUhG72E4wL08WPALDENAYX3yEC4U53h9Ty5bBwDJDW
DU7xFlyOW/Jq/JuaVPmW+hiLt6O4bpJ9vdG+dOoqmpzGyZGrH6PdkTrt6KwunOR2QY6r1cenjjv/
VENDk84n9VCgOP+I+hctn+htJhcSw5Vr7JapoRflNvWlyjCXR9R7aiypJWU17+KDzn1jvr++m/tX
7t4sZs3K0No8tCYgfEd9TjTPdrLTliG9Mz0xNw3n4r8nrtqpzWggshR0hfEBtSAxUOxTsuAYMmY+
hs8BnpTYzhIHS0uXMfXbZ4REtr1P6Bn1q5PwrOg/xf1rLaO9P+sdCUCQDgNgAAAAAElFTkSuQmCC
) |
13 | instantiation | 44, 17, 18 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKAAAAAqBAMAAADGyk2gAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGoAAAAaBAMAAACtLdRlAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
14 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJsAAAAVBAMAAACj9YEXAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAq1RmmUTNIjK7EInv
3XZ/CtNrAAAACXBIWXMAAA7EAAAOxAGVKw4bAAACQUlEQVQ4y41UTWgTQRT+3Gw2yW6z9lJQLy54
0ZM55CwtVimIWPDSk6SgiAY0/lxErRV66SUUoWC8dPHgTQje1Eu8CWrJoQcRA4tFRBCpCv4govPe
m9ldza7tg28n832738y8eXnA/6O0RbqlsUm8ka8bmbTxVuoJCEaJ2JPnZnV5cDYyaR2k+jXBISJO
59ndk2E/2+2iRztFI6WeFdyk3S7l2R2UYeIbPQ/Q43aKRkqtC5wQ8II8ux4/vavfaajGWeyl3xF1
JGQU1IGd3NTJFcz5n/k7taodJLQOUZ2a4MVg8CzPzpaUj1tfzA1WU7QOUb1RwRRwh+lw2I6WA4pB
+SdPdwAfE1qHVgsNwQWUuFjcp/qAzZNrJpdV/mGj9Imn6tpeGfroQMVaolo9QSX0pjkzlIH2zmVE
3Yt7td0IK+8nJ37IZlvWeEKDthKr5Q2BFclNzKyqldTJlZ13N23nRsAvXb1O6187oxZ7AjS4nhDN
Auv8o3vpUfqwtsJrmfcXUzkQO6NafQEeUEHDx2G4XM7R5PN5/XpFLY3jCudlvj6W0BSXE7WwJMA1
vokZfECxJrtbeGsqVEklOsGKdIv7jZg2f3+jUvFwAW3jvRx5vDssnOl0blHuPP1yuQ935WuIfb+b
UoeBoXUkanVaIOEDN+bLXdmd5xv6ZXZ5Z9DXNSRUCrYHUs/Krm3oerZdPbtZxJ3BfgL32ClcUee2
zjU7cdVXsjvsME1NaagxuQ87y38T2a1rmKYFKpt397kt0u8EfwAQ0ZyCmDJJLwAAAABJRU5ErkJg
gg==
) |
| proveit.logic.booleans.unfold_is_bool |
15 | instantiation | 19 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHIAAAAVBAMAAABoAqesAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6sy
RO+L2jdBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAV0lEQVQI12NgYBQyYWBgCGOocGDgbGBgXMDA
tYGB7TsDvwEDzzeGeiD5k8FfgIHnE5j8yFAvwMD7CSTL9o2BawED53cGzgcMzAEMDG0MdQcYGIqF
9jAAAMPIEplEfAWeAAAAAElFTkSuQmCC
) |
16 | instantiation | 162, 20 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANUAAAAVCAMAAADmdlsFAAAAPFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFwAAAAVBAMAAAA5lpTPAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
17 | instantiation | 21, 22, 23, 24, 61 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEEAAAAqBAMAAAAe6ivvAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAATBAMAAABiojCGAAAALVBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAOrOgAAAADnRSTlMAie+ZRFQyZnYiu6sQ3Ump
3QUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAB0SURBVAjXY2AAAx7B3QcgLAZmBuYLUCafA+czKJP9
AJzJwMB4Ac7MhWlj4FwDF5zMMBMmuCzNBspkevfuAQOD0Lt37x5DDBEJTG9LADNTGTo5EmCaF3DD
jGTbwAsTZC7ggzHPHeBzgDJ7GfgEoMylDNwQJgDJBhoOPNz61AAAAABJRU5ErkJggg==
) |
18 | instantiation | 146, 25, 26 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJUAAAAqBAMAAABIEATcAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
19 | axiom | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKYAAAAWBAMAAAC4bPoxAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAq1RmmUTNIjK7EInv
3XZ/CtNrAAAACXBIWXMAAA7EAAAOxAGVKw4bAAACZklEQVQ4y6VVTWgTQRh9+5dkd9vYi0hQSkDx
osXgQShCrEhVVDAo9OBfFzwIpeh6EZQeqkepuJ4EwboFDxYhpCKKCCEIglWUVqjoIbClVVBo8KYI
gvO3m2R3BxQfvLDzdubN7Pd98wWQwhVMR/YfdYZ8kVMCI4gJa/MXxhcrTO+j480pi7YJyrASF7wz
2bH1TB+mw3PJJZbDKUXGj3sex1OT6VdpDLzkEr3EKYU2lPTcqTCdbmenhK1HUI7XIu53mx8izwzT
NXKWTMqKrYJynOW5Ou+3z7lhN9ffNptvUlYcFqwuP3ge+wxrtYQZYI4NLvntHFUXa2D6QeCO5BSU
Q/l+fYHGt8lAy8RWG9gD7EJ3er3T478PgekXke1L8XzPqbnaLyWWqmtkkwKwnQ2czhytjPhMN327
kuL5kjMHPVFQfk+Ad8BN+pwjoWt+Cj1No8Z0NUhLUehJkh8k3o36uZ/AKRZbr/OcJjyuO2Xy0zqw
Su62sQyl+9uJgWv53fHEfuQbwACbt9Dt6XD90RgpMreQIdmtrvOnxIxpztnKJtjxc96CSbwH2XOr
y1MNuD5B3muYzpHHKwP4KmbMce64fgTH4p57MVrilUZqOyo07yTqj0UFKpNU+cH0jegXM25w3m+p
+xK3bKZ+lARqiRdr4QQXv8zfo30p1Gn+GqzxLeGVEHonOdPxhDQJEUnjmbibYQMNIzxhOzoeAh+N
7x0tItEmOGzHeiFvMJGuf65/w1QRWwajarwtmERvoJAyvCz5hJhetFwz2n1WMAm1PCzdL64bvhKM
tOMScMr+Wty/0jUY5Rr+H38A4JajDXZHxnUAAAAASUVORK5CYII=
) |
| proveit.logic.equality.equality_in_bool |
20 | instantiation | 27 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANUAAAAVCAMAAADmdlsFAAAAPFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6sy
RO+L2jdBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAV0lEQVQI12NgYBQyYWBgCGOocGDgbGBgXMDA
tYGB7TsDvwEDzzeGeiD5k8FfgIHnE5j8yFAvwMD7CSTL9o2BawED53cGzgcMzAEMDG0MdQcYGIqF
9jAAAMPIEplEfAWeAAAAAElFTkSuQmCC
) |
21 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOcAAAAyBAMAAABVKdGPAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.division.strong_div_from_denom_bound__all_pos |
22 | instantiation | 254, 29, 28 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD8AAAATBAMAAADVH8ihAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMpndq3ZmzYkiRO+7
EFRAb64nAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA3ElEQVQoz2NgwAOYGAgAHjIVpO85X7wnAVmB
EJqKA1MYluRcQFJggq5gBgMPowODzpnTZ86ATGLFooBpQgHCBLESqESMsXEBXMEBhIIGqILlsQgT
WO46wBWwToAo4KxFskLm+QS4gmkMEAXsE+AKZhd/jkWEZANMAZIj064jnMw2AapA2hgIDkAU8FxL
gCuYygBVcAfJBEaFs3DeEheX3x4gBjNyOCjOQQ6YLRDfBCApuMOagKTgD4SqgyuYxMCWcAohr/Pf
FUxfOXUBFpsnGc7UP8CM5xWHIUGNAgDU70VgvWWTYAAAAABJRU5ErkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAKlBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADmU0mKAAAADXRSTlMAMpndq3ZmzYkiRO+7EDr+BQAA
AAlwSFlzAAAOxAAADsQBlSsOGwAAAD1JREFUCNdjYGBgEGIAARMQwQomxUpAZAOIZJ0AIqcxgMgG
EMk2AUROZQCRS1xcbnuAlG4Bm3AHROjcdQUAhwAMRSL9jTgAAAAASUVORK5CYII=
) |
23 | instantiation | 254, 29, 30 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD8AAAATBAMAAADVH8ihAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA9ElEQVQoz2NgwAMYGQgATjIV3Kqcv6TyAkIB
o6AymooJTQyHbhrAFDC7MqQ3oCnoZuBkU2CQnDl95swLDEwFDJwTMBQwNiyAmcC/gIH7M0Qi0sVl
AVzBBJgC+wkMrH/A8qeCESYwGSsgm/AXxOBYjGRF5qsGmAKQG76CGFxwp05oX/IlGB6SzDUMSf/A
CpAcedcKyc2G0U+/geh0FyCYAFHAaXsB2VsQX1gimcAmMBklyMH6WJDDQawTzuMrZrBPADFYA5AU
WLLC7WB1ZpgLYa2DK2hk4L0wB27EbsEDEIbRHANYbM5gmLn+AWY8n54CCWoUAACxz0WQcZbGsgAA
AABJRU5ErkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAUUlEQVQI12NgYBRUZmBgdmVIb2BgKmDgnMDA
v4CB+zOD/QQG1j9g9l+w+FcG5hqGpH8MDIbRT78xAAFQDRAA1fMVM9gnMLA6M8wF8ncLHmAAAOjt
EoLyJ+qzAAAAAElFTkSuQmCC
) |
24 | instantiation | 31, 32, 33 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEoAAAAUBAMAAADYerbFAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAie+ZRFQyZnYiu6sQ
3c1H9AzSAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABEElEQVQoz2NgAAMewd0HGAgCZgbmC7jkDOAs
fgfOb7hULYCz2A8Qo4qBgRHVRvZHq/5dWo6hKhfN9VycG1i2r0FTxbmGAV2VAMOCbAbmVau0Vi2H
CU5mmImpypIP1SzOZWk2EFbX3bsP4Kq4UFUx/f//Aczw60Eya89puCqh////f4ab+QbJRralL2Gq
GEUC09sSYHJ8ExCq9O7fOAAL+1SGTg64IgY+JNeL1zxADltuRFAl3QWCBVAb15QjFLFt4EVwTiGH
RDIXQjtzAT9CFS+yKuZMRCCcP8DvAOdwNCCp4lnQDpfoZeAXQBj2FKHKgKGcC65/KQM3kqrTSw7A
0sSvCVzrvuJITY5r7z7AEAQAHvBOx8yrhQUAAAAASUVORK5CYII=
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAATBAMAAABiojCGAAAALVBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAOrOgAAAADnRSTlMAie+ZRFQyZnYiu6sQ3Ump
3QUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAB0SURBVAjXY2AAAx7B3QcgLAZmBuYLUCafA+czKJP9
AJzJwMB4Ac7MhWlj4FwDF5zMMBMmuCzNBspkevfuAQOD0Lt37x5DDBEJTG9LADNTGTo5EmCaF3DD
jGTbwAsTZC7ggzHPHeBzgDJ7GfgEoMylDNwQJgDJBhoOPNz61AAAAABJRU5ErkJggg==
) |
25 | instantiation | 34, 66, 94, 35, 60, 36* | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAqBAMAAAADlBV0AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMpndq3ZmzYkiRO+7
EFRAb64nAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA4klEQVQ4y2NgYGAQYsAFTHBJsOKUESvBJdOA
S4Z1Ai6ZaQy4ZBpwybBNwCUzlQGXzBIXl98euJy9BWfo/MElofPflYF4wGiLQ+KK+l+c4Y8pw1eJ
Q4bN6AJ2GVaLC9hNu2GKw55JZigu+A8CH0A8ljpcbsMtg24aUS5gYLhqCnU1x08Mn0I8xOL93Y2B
gUnJF1mqEs7kNWWQnoA1VFk2MPAcwCrDX8DAgT0y7h9gYP2FU883nPZ8xSrDu4tB5B/2KL8U8fQj
ruTAgTOh4PAP316G+wLYU5YtwzEcZnUoLcAqDgB+HUECu62bqgAAAABJRU5ErkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAUUlEQVQI12NgYBRUZmBgdmVIb2BgKmDgnMDA
v4CB+zOD/QQG1j9g9l+w+FcG5hqGpH8MDIbRT78xAAFQDRAA1fMVM9gnMLA6M8wF8ncLHmAAAOjt
EoLyJ+qzAAAAAElFTkSuQmCC
) |
26 | instantiation | 37, 73, 38, 222, 39, 40* | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJAAAAAaBAMAAACqQ8g1AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
27 | axiom | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAP8AAAAWCAMAAAA4nbqyAAAAPFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.logic.equality.not_equals_def |
28 | instantiation | 254, 42, 41 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEAAAAAVBAMAAAAEBPWpAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMpndq3ZmzYkiRO+7
EFRAb64nAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABCklEQVQoz2NgwAcUGAiAA+QquHHmjCayAiE0
eVZvAU6TBiQFJmgK2toYGBatYWA6c2bPmWMgDWgKGBsKGBh42ALgJoiVQE0+bGwOonnuOjAwcAgU
wBU0QBRwlV6AKLzDCNTM90ARpoB1AkTBdKg8gwRXAlB5Qh5MwTQGiIJKmBuWsj0AOiTgGSwkG6AK
CmAKZvCBTYiCctkmQBQwbjY2NrYBOxLiBl2ogqkMEAW88GDluQn3BQgscXH57QFiGMAUcEHC4QEi
ZLaAyVA4Xw0YkkvWIAXdHzDJDtfCAYoLpKSg898V7AiftTCRSd/rFbFEMlcPJKiBwBEcE3gAS0DI
wwV4VTw5vicBwgIANJNCGx1+VP4AAAAASUVORK5CYII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAKlBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADmU0mKAAAADXRSTlMAMpndq3ZmzYkiRO+7EDr+BQAA
AAlwSFlzAAAOxAAADsQBlSsOGwAAAD1JREFUCNdjYGBgEGIAARMQwQomxUpAZAOIZJ0AIqcxgMgG
EMk2AUROZQCRS1xcbnuAlG4Bm3AHROjcdQUAhwAMRSL9jTgAAAAASUVORK5CYII=
) |
29 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFQAAAAVBAMAAAAqQdQ7AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEIm7mSJ2q+8y3WZE
zVRISQrpAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABMUlEQVQoz2NgQAAHBtwATc4Aj1IDUpUKGRu7
YlfKfcP47wprhBxbxQTW5QrYTWVmLeCpNoTLaWszMBw5zMBibNxsbI2hVIHBYDpMjlPhAlCIOwGH
qQoMrrwwU5kFCxgYmCZcQFaavGrVqpVwpcwwpcKcQAP5HngiKZ2rimxqoThM6SSeDQwMPBv2IZQy
LkV2AKfdVZjSY9wPGBg4E14jYoT9AJLS3vXLBGCxFcQHNjUH4RdeZG9pb7yA4EHc6oiQn44SAoa7
ETxReAhAQTiK0inMAjAeDyRcHyDkuVCUskxFBLc3MLaOH0YKd5YNyEoZDbLhXCZQGkBJjneQlDow
7GZGhEjI3/ueKNEpXCMAT1mfA5ht/yGkKsEpAAkcsoJGLAZgT0h/eYCBOPDctnkDYVUA7HlJvPq8
mWMAAAAASUVORK5CYII=
) |
| proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos |
30 | instantiation | 254, 42, 71 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEAAAAAVBAMAAAAEBPWpAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABIElEQVQoz2NgwAcEGAiACeQqsJ45UwKhgFFQ
GU2eVT2Bw2kDTAGzK0N6A6qCvXsZGA6eZGCcObNy5lwGpgIGTlSr2DYsYGDg5A2AmsC/gIH7M8Tk
KS5eIJrTWIGBgTthAVSB/QQG1j8gcZ6lBhATLNmAmvkeiCGZ8Bck3gWVZ8jmuQBUfuEeVAHIDV9B
4itgbjjK+wDokIC30JBkrmFI+gcSXwBT0M0HNiEGxjeMfvoN5PYSFxcXT7AjIW4QRvgL7AtmuF85
LeC+gImA5RxgXB5IODyAcvmKGewTQIxQuAZZYEgeOgkPeGeGuWAG1wO4laC4QCSF3YIHwDSz5mGY
UOOv9WJYIplnJySogUANHBN4AFNA0LMDeFU8mlV5AcICAP2JR46f567tAAAAAElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAUUlEQVQI12NgYBRUZmBgdmVIb2BgKmDgnMDA
v4CB+zOD/QQG1j9g9l+w+FcG5hqGpH8MDIbRT78xAAFQDRAA1fMVM9gnMLA6M8wF8ncLHmAAAOjt
EoLyJ+qzAAAAAElFTkSuQmCC
) |
31 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALkAAAAZBAMAAACfn5KBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos |
32 | instantiation | 43, 74, 195 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD4AAAAUBAMAAAAn2JMnAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAie+ZRFQyZnYiu6sQ
3c1H9AzSAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA/ElEQVQoz2NgAAMewd0HGPAAZgbmC/jk+R04
v+GTZz+AX56BgRHVfPZHq/5dWo4kkIvmPi7ODSzb18C5nGsY0OUFGBZkw7mTGWZiylvywbUvS7OB
sLru3n0Al+eCyTP9//8BzPDrQdK/5zSQIfT////PcHPeIJnPtvQl0F8igeltCTBRvgkIeb37N4B+
SmXo5IBLM/AhuU+8BuwQhgXcCK8n3QWCBVDz15SDGGwbeBG+OoXsv2QukEbmAn6EPC+yPHMmyKTz
B/gd4KIcDUjyPAvagYxeBn4BhAFPEfIGDOVcQJ1LGbiR5E8vOQCLv18TuNZ9xYhnx7WQ8IUCAAu0
RpU4K0B8AAAAAElFTkSuQmCC
) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAOBAMAAAAPuiubAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAATklEQVQI12NgVDIJYGAQYWD7zsDQyMAwk4Fh
/gKGfgGGbgaGfqAEA8N+EMH6B0RyN4BIFRDBC2Y+Y2AUYGBNYOBZwCCtpKQNVPz//2cGAEeID1mi
/zO7AAAAAElFTkSuQmCC
) |
33 | instantiation | 44, 45 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADoAAAAVBAMAAADlb+D4AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6sy
RO+L2jdBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA8UlEQVQoz2NgwAXYBXcX4JRkYGZgbsAty3+B
5Q9uWc4CfLIMDIxAkxmFTHDIngC6KoyhwgGrJMtyoPENDIwLsMo6M7gwcG1gYPsOF0lFGMOy5ow5
A78BA883mMgMc4RWvv//PzDUA2V/QgU0xCG03P///z+DWf4CDDyfIEEnoQD1iWziSZ0DcNmPYHss
JkCNOMagwgSRZKgXYOAF692agLBzATc0AoCuYvuGJsuzgQPK4lrAwPkd1WQG5gn8sMB+wMAcgOoq
hvoC/gtQZhtDHdQJ7BrqUJ8x8AtAZYuF9sAtnAHx8DIGbgFsYTvVgYF4AADrcDRmUtjV0gAAAABJ
RU5ErkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABQAAAATBAMAAABiojCGAAAALVBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAOrOgAAAADnRSTlMAie+ZRFQyZnYiu6sQ3Ump
3QUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAB0SURBVAjXY2AAAx7B3QcgLAZmBuYLUCafA+czKJP9
AJzJwMB4Ac7MhWlj4FwDF5zMMBMmuCzNBspkevfuAQOD0Lt37x5DDBEJTG9LADNTGTo5EmCaF3DD
jGTbwAsTZC7ggzHPHeBzgDJ7GfgEoMylDNwQJgDJBhoOPNz61AAAAABJRU5ErkJggg==
) |
34 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPgAAAAmBAMAAAAby0tnAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAq1RmmUTNIjK7EInv
3XZ/CtNrAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAEMklEQVRYw7VYb2gTZxj/JZfkLu+lV/elo1PK
wYbfdGEfhInGSv075papE+qGPTZhbIKcIIJT1riPI7O1VUcnSBzCptUaJtZ/rARlVBgbfpgoiHDF
zn/FUrqJEmHb876XxCR3qSnkPcg95Hlz7+99/v2e5wJIukLmjMvsC0i8ltNnaOyny54zsPE4jgHf
ZuRhKxbd2o220PXqFT2YwzL6wRx54GkyTLGVfCBevfI1naeVZJ888G300RCyvCuZmIM/SJ6S5vdg
XgjC8V5dGe0Zz0hpfm/Kujg289q3CkaOhPpUFngPxzyRnAfdu3YAUWH0EVngPKPw5jfvYr1fEXaJ
LFwiC/xvfjs+GezwoZpjI+/bXHabEB54vcHY2szxHHbzoh0rufys0RQzVXtNt9gVl4At7OOJ19tg
8IA1QyE4AbcUjClEKC91s8HgMd8ani9CHUysLHDBMyiUeZFG51tz1ke59J2qxJgGfr9z57eGg8e9
useXqtsblcQa4Ps62vOswLu9jfQXL9P+C+yAWpNlg7e3trgPRV+OqI+UnN1TDa6u8/HFc9o2oyd9
N9vfeghOVt/jB17B2AX+TqCz1DvEjv+JSyhaXpxGKEUp/kPWOf75FqJ4wHGUIR/wna9VmHVQpPE1
NNu1LG/xqycCh5Wg22DiPP8+uXqcNgiPIYC7EODG8TJwY/yr1ST2vQpsmSPIkZ2dsKG9Qg+pecTM
WbmdYo6faZZjNwUjGnZrhJ4bas6kmSAeJ7v7bhn4/UDvJ0AnHYA5eY03xtN2DwdenoKWR1MRoTte
T8LxBrCXLAi1i60UHNVIfLkAD8PieWftRZSBx6NOCp28ZtQfrhv8eCuQFnuvTRJ4aXY440Vijx9V
e2Oac2GKKClpuCnvdoS5aFM+HxjoI7efM8tjTlHVXGYOZAMc4VeMuWw+Sm5vLno71u5HMlWFrj0p
HtWOLuY5q+VU/vUGrmlZN+YfXioHT8PGoBj9mpIxOjR7iv6TvCaPViRcxLdZLLL9Ri06qt2zITOI
vboVwiBwKzzlMg+VWlnCqblhkE1GPwdPdYFlMao9WUx2f8qTFR+UKiVXBxPpxak63LHwLNJm6K+R
RyTwxtsWdpNh4e3b2ArrheXvfTTJ/aMQerDjMI/Axrcm4jD6XJIpkbeSrwM8WslthZCZzI7GwS4O
HCr7ZaXHvsOP4Cdwg+cZwdn0rBtAOFMQAWeT55jVirYweWRzrY0P1gHeVZECSlGEE9mXgm+Y4KVX
a2N3OFTn3vcZ3Iva4br7lDq7nnpGkPvHdtQn+EXtFVnTq86zlF2F9z2xpDVyssCp6KngpopvLhUN
q6CNmdLAF/Htewvur5zvCtp78t5SI3HB8Mt80sHVqqPywNlNgjHRErQ94K72tDyvA7syiDrBP72z
X0HbL/M/GTUF1nZhxwOvT4SW8bD/D0l0GnMB+atQAAAAAElFTkSuQmCC
) |
| proveit.numbers.division.strong_div_from_numer_bound__pos_denom |
35 | instantiation | 46, 94, 158, 47, 48, 49*, 50* | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADEAAAAQBAMAAABNQoq8AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMpndq3ZmzYkiRO+7
VBCly6GvAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAsklEQVQY02NgYGAQYkAHSioPwLQJusTjAMad
IJoVQ8abgeEMiBYrQYjxVoLI7wwM/SDjGhAybEYgAb4/DAzxC4CGTYDLsFpALAbpSWBgmMYAk3lh
irDnfADQMJjMJDOY3tcLGP0vMLBNgMqw1MKt41PtjRdgmMqAKcMAdtsSF5ffHmimMUD9w7AF3QW3
H/B9BDP+wBQ+NYW4OvgBTwKI1vnvCvcpxEMcTVoYgcxWyUAYAAAIBy7QQljBBQAAAABJRU5ErkJg
gg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAPBAMAAADE5vg+AAAALVBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAOrOgAAAADnRSTlMAMhAi783diatmdrtEme/i
v0YAAAAJcEhZcwAADsQAAA7EAZUrDhsAAABNSURBVAjXY2BkYFBmYGB5GpbEwMDml67AwMDBAAIo
5KwKAQYGbgXmN2DuNjB5z4BhK5AUYHBjYOhjYChgYPBmYLBl4HJiYGC+26vAAADU3wwJQ/EKOgAA
AABJRU5ErkJggg==
) |
36 | instantiation | 51, 52, 53 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAqBAMAAAADlBV0AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAhklEQVQ4y2NgYBRUZsAKmF0Z0huwyjAVMHBO
wCrDv4CB+zNWGfsJDKx/cOr5i9Oer9jdVsOQ9A+7sw2jn35jwAFwuA0IcPiHr5jBPgGrDKszw1wc
Zu0WPMBAAmBzxiFhJIXTuaw0lBFxAQEnIvT8B4EPtLcHR2T+wCHBpP5Ll2E0XdMtXQMA+/E7zb40
agAAAAAASUVORK5CYII=
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAUUlEQVQI12NgYBRUZmBgdmVIb2BgKmDgnMDA
v4CB+zOD/QQG1j9g9l+w+FcG5hqGpH8MDIbRT78xAAFQDRAA1fMVM9gnMLA6M8wF8ncLHmAAAOjt
EoLyJ+qzAAAAAElFTkSuQmCC
) |
37 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANgAAAAXBAMAAACbsJy/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.exponentiation.exp_eq_real |
38 | instantiation | 254, 54, 55 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIoAAAAVBAMAAABrmWvBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGAAAAAVBAMAAABLWfZ5AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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==
) |
39 | instantiation | 56, 68, 207, 84, 57* | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIYAAAAVBAMAAABxpYtPAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
40 | instantiation | 58, 59 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADcAAAATBAMAAADGyIhVAAAALVBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAOrOgAAAADnRSTlMAMt0Qq5nNdoki72ZEu3Dj
S8MAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAB0SURBVCjPY2AAAYsWZwacIIAhCLfkG4Z5AjglN+OT
ZGBowi7MqAwjUIGQAQODSdhjIGuuAZoUs2seSIgdKMkZwDkBXWcdTHKuoKgBTsl1794x4JTEBtAl
WZXAwIF0nXSzk+Mldsk+YJixeD3zxibnsi5lAwDSoyTeEjOXUgAAAABJRU5ErkJggg==
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAOBAMAAAAPuiubAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAATklEQVQI12NgVDIJYGAQYWD7zsDQyMAwk4Fh
/gKGfgGGbgaGfqAEA8N+EMH6B0RyN4BIFRDBC2Y+Y2AUYGBNYOBZwCCtpKQNVPz//2cGAEeID1mi
/zO7AAAAAElFTkSuQmCC
) |
41 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD8AAAATBAMAAADVH8ihAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMpndq3ZmzYkiRO+7
EFRAb64nAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6klEQVQoz2NgwAOYGAgAHjIVXP5z/AJD9+8F
CAVCaCrOcTkw8H5AMsEETYHzhDYGhg0MOmdOnzmTAOSzoivwO8A+gcEAYYJYCVQixti4AER7pnIW
ICtogCpYHgtV6MkiEIGkgHUCRAFnLcwKT4YDPAsQCqYxQBQA7YUrEOK1NYCHZANMAQNCAduDNxtg
PLYJUAXSxkBwAKKAwZcFrmAqA1TBHSQTGK7wGsB4S1xcfnuAGMzIChgDDiAFzBaIbwJg/INAHIis
4A+EqoPxQQymAoS8zn9XMH3l1AUwLf4bqJu3AEs8rzhsjCkMALTpOES98MSkAAAAAElFTkSuQmCC
) |
| proveit.numbers.numerals.decimals.posnat4 |
42 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFQAAAAVBAMAAAAqQdQ7AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEN27zYnvRFSrImZ2
MpmnAiL6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABRUlEQVQoz2NggAM+BjzgAQqPGZ9SA9KUCn02
EWAI+1aAXamosfErhKkW7BMYGD9gN5Vn2gUuzQC40kkLohkYEhgeG5sZG29AUxoNlKorZuAzNk42
tmZgmGHAsoBBAaupvAEOQGHuAzBTZ+3hckBVymOkpKR0ASQiOIGBgfWCA1wp54WjKEp5XRdAWcK8
QAM5Gt7ClTIYMBcgKxWCqWS4yg50PPuGHQil9xgVFZBiazrcrTXcDUBLDnTDYmsWA3dDcwKSZxzg
rKUcYFOPw/izGBgmciIp5Z2AiD+IWx8iKZVkVEAo5UJSKgUPAZhS3gPIqQGhjR0Srg0wvi0Qn0VW
+hqJCYytymI41wPkeQckpSwFcCYrKA3Ak+qVb0ATGZGVMloWwtnrvvi/xZc22YOhEQsEc8EpgCjA
eeBkbwGRajtNkqFJEwDhsU6fKJTm7gAAAABJRU5ErkJggg==
) |
| proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos |
43 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKMAAAAaBAMAAAAph/EOAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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=
) |
| proveit.numbers.exponentiation.exp_real_closure_nat_power |
44 | axiom | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANEAAAAXBAMAAABnpbd1AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.ordering.transitivity_less_less |
45 | instantiation | 131, 60, 61 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKIAAAAaBAMAAADGRZowAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADoAAAAVBAMAAADlb+D4AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA7UlEQVQoz2NgwAWYdysZ4JRkYGRgdMAty3+A
4xtuWV4DfLIMDNxAkxkFlXHIphgwMLsypDdgleSYzMDAVMDAOQGrbCNDBwP/Agbuz3CRVwhjOKal
CTPYT2Bg/QMTuSKM0Mr+//8HsN6/UIGQzRB6+////z+CWSB7v0KCbksA1Cd7XueGJUDEahiS/oHt
EbkANSKPIYI1Aco2jH4KDhOtBwg7JzAhIgDiZiRZNgUWhEqIfxEmMzBe4Iey+IoZ7BNQXcVgb8B/
AMJidWaYC4vvkGCozxj4N0DFdgsegNtxBeLheQxMG7CF7a0GBuIBANRAOFoWF8FIAAAAAElFTkSu
QmCC
) |
46 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAS0AAAAXBAMAAACsWwSiAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.addition.strong_bound_via_left_term_bound |
47 | instantiation | 254, 233, 62 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAQBAMAAACmdTG/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMhAi783diatmdrtE
mVQhVHx6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA0klEQVQY02NgZGBQZkAGnCG7v6bsBDJYvoYl
ocgwcDM38HRuYmBg809XQJcpYNggwcDAwYAOQDKXWZFlVqelBcBluJFkji5C0tOkAZSZVSEA4jMH
IZnGuC8YSCsw/wHxWQ0QMq75WRBXbQPLILmgclIAhHkfpFwkDQg2QE3bNBNIbwXKgCzSRna1LDfQ
NDcGhn4Qnw1ZhlcYqLuAgcEbxOdagCTDtGElA4MtA5cTWCAOIXOBYSb3AQbmu70QF2rsUYCF9W8D
7q3/kMLr+La0ACQuAPDgMRNxw+FHAAAAAElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAPBAMAAADE5vg+AAAALVBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAOrOgAAAADnRSTlMAMhAi783diatmdrtEme/i
v0YAAAAJcEhZcwAADsQAAA7EAZUrDhsAAABNSURBVAjXY2BkYFBmYGB5GpbEwMDml67AwMDBAAIo
5KwKAQYGbgXmN2DuNjB5z4BhK5AUYHBjYOhjYChgYPBmYLBl4HJiYGC+26vAAADU3wwJQ/EKOgAA
AABJRU5ErkJggg==
) |
48 | instantiation | 160, 63 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAARBAMAAABp3DInAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMhAi783diatmdrtE
mVQhVHx6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAx0lEQVQY02NgZGBQZsAGWL6GJaGLsVddZmBg
809XQJeIY1AzYODANIQzgYF9A1yCKRIuwd3AwPcJoUM9C8biv8DA+I+BY1aFAITPBbNMHyjxk4Fb
gfkPzOxciIx9AQPjLxBjG8wMvlgDmMR3EOO+AUyGJwKkR7+AgecXw1aghABcIloBYjnfPwY3BoZ+
uFERYL3cGxg4PzEUMDB4wy2HmMnpwMAbwGDLwOWE5lyGPAYVAQbmu70Qvhbcgwy6VY2IAGLKZCAO
AADCQCZD8nH0qwAAAABJRU5ErkJggg==
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAPBAMAAADE5vg+AAAALVBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAOrOgAAAADnRSTlMAMhAi783diatmdrtEme/i
v0YAAAAJcEhZcwAADsQAAA7EAZUrDhsAAABNSURBVAjXY2BkYFBmYGB5GpbEwMDml67AwMDBAAIo
5KwKAQYGbgXmN2DuNjB5z4BhK5AUYHBjYOhjYChgYPBmYLBl4HJiYGC+26vAAADU3wwJQ/EKOgAA
AABJRU5ErkJggg==
) |
49 | instantiation | 190, 64, 65 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGEAAAAVBAMAAACkm51HAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC0AAAAQBAMAAABw0OvaAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6sy
RO+L2jdBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAr0lEQVQY02NgYBQyYUADPAZAIoyhwgFNnGMD
AwNnAwPjAgj3JkxcAyjOtYGB7TuEmwQzZipQnN+AgecbqjgjK1C8Hij+E1VcBSTuL8DA8wlFnGUC
TPwjijgjA9gcAQZekHqLjo53HR3dQNYUsDjQXjYUe1kUwOJcCxg4UdzJu3v3/tcCDJwPGJgDUN3D
wAdUz9DGUHcATZwfFADFQnsYUMWZ1/9WQA6uJAbs4CYSGwCgVyuWIeNxMQAAAABJRU5ErkJggg==
) |
50 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGEAAAAVBAMAAACkm51HAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.numerals.decimals.add_5_4 |
51 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALMAAAAmCAMAAAC4YVoxAAAAOVBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.division.frac_cancel_complete |
52 | instantiation | 254, 244, 66 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAQBAMAAABJt1qBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA5klEQVQY02NgwAKsp6yKyAbSjILKaDKs6heY
5ScyMDC7MqQ3oEqJnmZg4AVKMRUwcE5AkWETmAwkFRkY+BcwcH+GmDPFxQtEMxmAlNoyMNhPYGD9
AxLhWWoA0cXJIQBhgHT9BTG6oDIMTWwbIAyQXV9BjBUwu7J5LkAYzDUMSf9AjAUwqUaeACjLMPrp
N5C7SlxcXDwhdm2AuxbsQma4DzgNEJ6B+MsBxuUB+4uHgYGvmME+ASQSigiNQ0BCCuhRZ4a5YAGu
B/AwnCXB/ATkt92CByBO1TwMD/npXyRQwo5nJySgYAAABL4t4IE9sNwAAAAASUVORK5CYII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAUUlEQVQI12NgYBRUZmBgdmVIb2BgKmDgnMDA
v4CB+zOD/QQG1j9g9l+w+FcG5hqGpH8MDIbRT78xAAFQDRAA1fMVM9gnMLA6M8wF8ncLHmAAAOjt
EoLyJ+qzAAAAAElFTkSuQmCC
) |
53 | instantiation | 251, 71 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADEAAAAUCAMAAAATIyWrAAAAPFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAo1xBWAAAAE3RSTlMA
masQ3XYy7yK7zYlEZlTn9enz9e5RTQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAONJREFUKM+VktcS
hCAMRQmhSN2S///XJWFUFsuMPCgxuZ40pe4O4MV3AH3qcmG0UrKw8AWNbT6/nCiCG4xYOZbDtBdn
OEHowShGOBxGUa50zCuM3CDy2sKQ5O+W8izII0IRCJbqziizIo4IXBVlq4Ps1joj5/Xm58pZKHVF
C0OfuUjGXSN2Bb8QbKqW3FQF/JnYFXlP5dCrOA2o11H3VIZ5SB2fb69G/wcU/nH1yNApqTiPp0iD
gBtrTXOGqbcVDvM0vCXe9Q0DmMcXjxuAkKx2V1tek3p4Ij4UlMcI8xSh3J3zBxhPBrtVFKb4AAAA
AElFTkSuQmCC
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAUUlEQVQI12NgYBRUZmBgdmVIb2BgKmDgnMDA
v4CB+zOD/QQG1j9g9l+w+FcG5hqGpH8MDIbRT78xAAFQDRAA1fMVM9gnMLA6M8wF8ncLHmAAAOjt
EoLyJ+qzAAAAAElFTkSuQmCC
) |
54 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFAAAAAUBAMAAADo9qfkAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAZs3vu90iq0QQiTKZ
VHZ+Ip2vAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABSklEQVQoz2NggIItDWBq1SsGAoBzyQUgyfiA
w4GQSoYnAgwMzBsYvhFUyCDygCF/AoMtDlkhE39VEwEIWzhh/wSGQFR5RmWXT8GOIJZDOkO7yAQQ
a5YHA1ChHZpJLGwFHIWeIIVZDCzcBUBGTjUDyOq/GAoXMDhshyjkSVBgYEgHqsPmGZDCY0wwhQ4M
04+BRPkecBRAwyA0NDQarpAFopB9ZgHDTIj8qjdg5zJsWoZsYuV0iMItlxLQgz8M2WpuXzWQwmTV
ry/RA429AUmhUXzcBLCJgpNAce0CBHCDmZA9s1BSARyOWSwTBdBN3I7ia09BiELuA57oCtNRFO5h
gVjNcDoFXSErikKebQ4QhVP40O3mEUBWyOnwEKQwh4FRwAPdSA0khQcYBFkaQKnHjcFF/wKawikV
E+Cp50sCi9NfnImzyxUahVAAANVrVSo/4jjXAAAAAElFTkSuQmCC
) |
| proveit.numbers.number_sets.real_numbers.real_nonneg_within_real |
55 | instantiation | 67, 68 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKAAAAAYBAMAAACPeOsGAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFUAAAAOBAMAAACskk1dAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiasyIt1EEO9UdruZ
zWZ7xlX5AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABPUlEQVQoz42SP0vDUBTFT5IH+fcaU5eWLoKL
o4I4CIoiCg6FZnNRyDfwLa4a0CVO8RsEQYTgEPAfgkgQwcnaSXArThJQIv0A9SVpaYRKe+Hd4b7f
O5x7eADKk3MYszZs+Yh4o7k6P8fAvcaWw6GA5qZdLk8zxABNgBcBojlc7T1tFNTStj0oXLBagfKP
57u0TdikAws48IEpDyvBTH4pXy+e7n/Y0OIKEMSZrsFIR27xN5ytAmfsoqfU8EqhauEGe6Am3Hwo
WGrUBg1hvEp4wFefZbopOVIC3W+w3C+wwEhzlcf7fU5rOMRjn4XoS47hQIx2e7uB3BZ3SOAazZMB
y3VLA9061gvslhGqV1LO6pzl0CYT2yTzSy7nnwvsUgC0shxmo8+3tR8IwRNQi3fSLJVuN/kbJYkw
dqmjPsUvWzpRl2ewoaUAAAAASUVORK5CYII=
) |
56 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAM0AAAAXBAMAAABaN9YTAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.absolute_value.abs_eq |
57 | instantiation | 69, 70 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADgAAAAVBAMAAADhmjDFAAAAKlBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADmU0mKAAAADXRSTlMAIolEdjLdEKuZze9mLNMxWgAA
AAlwSFlzAAAOxAAADsQBlSsOGwAAAFJJREFUKM9jEGAAA0YGbEAZQjEZ4JBkTccmCRJVZqiYdR2L
JFgUqJMFmyRYlB6S09JAIGNQ28l0EZskSFSZgaP7Vg+mJFiUUJTRQtIV6vAALHIAICMoUFIDZUcA
AAAASUVORK5CYII=
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
58 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH8AAAAVBAMAAACd/CwcAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.exponentiation.exponentiated_one |
59 | instantiation | 254, 244, 73 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAQBAMAAACmdTG/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA2klEQVQY02NgwARcKZttRBMYGJVMAtBkTsxl
WPRFgUGEge07qgTT8QQGhisKDI0MDDNRZYJYFjAwcCgwzF/A0C8AFjmye7cBiO5iAdl1gaGbgaEf
bFHxKageByG49v0ggtEKymNsCINJsP4BkcwCMG5CLUyGuwEsA+MyKtTAmCpgMnI3EDiA7RGDSvCC
tTAsgVvrxQJlPGNgBFnBDZcpAvmHoQBoIQMPiMVzABEGQFOYDBiklZS0wQJ2cE1HjATWbQJ65v//
z2D+CvcF8LCev0kAObzKvCGhAwUAiQ4v3OpNKIIAAAAASUVORK5CYII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAOBAMAAAAPuiubAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAATklEQVQI12NgVDIJYGAQYWD7zsDQyMAwk4Fh
/gKGfgGGbgaGfqAEA8N+EMH6B0RyN4BIFRDBC2Y+Y2AUYGBNYOBZwCCtpKQNVPz//2cGAEeID1mi
/zO7AAAAAElFTkSuQmCC
) |
60 | instantiation | 160, 71 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADEAAAAQBAMAAABNQoq8AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA1ElEQVQY02NgYBRUZkAHuwMbGBiYXRnSG9Ak
uB4wezAwMBUwcE5Ak7nCwLCTgYF/AQP3ZxDX6gJcZhIDw3sDBvsJDKx/QFzmLQEwmY8MDPkPwHr+
QgRCNkNoZpDMBbA9X2HmC4Mpjt9AmQAG5hqGpH8wY15JwGU2MDAYRj/9Brf7FMhvzECZ82BLIW6D
yEyGuuD9AxAD4Z9XGmBqJgPDfQMGvmIG+wSYCyQg9HUGBikGBlZnhrkMqK5mYHnAXAYKPcEDEF+E
wH3KLB2UgBRYJhcYiAQAguw2dhRZRi8AAAAASUVORK5CYII=
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAUUlEQVQI12NgYBRUZmBgdmVIb2BgKmDgnMDA
v4CB+zOD/QQG1j9g9l+w+FcG5hqGpH8MDIbRT78xAAFQDRAA1fMVM9gnMLA6M8wF8ncLHmAAAOjt
EoLyJ+qzAAAAAElFTkSuQmCC
) |
61 | instantiation | 72, 73, 114, 74, 75, 76, 77* | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADoAAAAVBAMAAADlb+D4AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA7UlEQVQoz2NgwAWYdysZ4JRkYGRgdMAty3+A
4xtuWV4DfLIMDNxAkxkFlXHIphgwMLsypDdgleSYzMDAVMDAOQGrbCNDBwP/Agbuz3CRVwhjOKal
CTPYT2Bg/QMTuSKM0Mr+//8HsN6/UIGQzRB6+////z+CWSB7v0KCbksA1Cd7XueGJUDEahiS/oHt
EbkANSKPIYI1Aco2jH4KDhOtBwg7JzAhIgDiZiRZNgUWhEqIfxEmMzBe4Iey+IoZ7BNQXcVgb8B/
AMJidWaYC4vvkGCozxj4N0DFdgsegNtxBeLheQxMG7CF7a0GBuIBANRAOFoWF8FIAAAAAElFTkSu
QmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAJBAMAAAD0ltBnAAAALVBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAOrOgAAAADnRSTlMAie+ZRFQyZnYiu6sQ3Ump
3QUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAA+SURBVAjXY2AQevfu3WMGRpHA9LYEhlSGTo4EBiBY
wH0ASLJt4AVxmAv4QNS5A3wOQKqXgU8ASC1l4BZgAAD4TAy/WtcQ8AAAAABJRU5ErkJggg==
) |
62 | instantiation | 254, 249, 78 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAASBAMAAAAEf/uKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMhAi783diatmdrtE
mVQhVHx6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA/UlEQVQY02NgZGBQZkAFTNW79xoAaZavYUlo
UiscGczagTSbf7oCqgz79AkMPHc2MDBwMKADcVYgsWEWstTqtLQAEL1JA0gUsiJJHV0EdcQGKSD5
jleAgWNWhQBIhDkIqoSx4CSQPMn5gIFbgfkPSITVACrFs2AekJTimwDibANLwQxmLngJ0sV1AMS5
D9IgkgYEG0BcqF0KDFuBUiDLtOEu3WQBdaEbA0M/SIANLnUc7C+ghQUMDN4gAa4FMCleUGj0AM22
ZeByAovEwbVVAMOwF+Sgu72QMNTYAwtL5vuhfwVQwu74NkhAAUNIYBYDLtDF1SeDQ4qvO2QnAwCg
wDjiCttA8AAAAABJRU5ErkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAPBAMAAADE5vg+AAAALVBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAOrOgAAAADnRSTlMAMhAi783diatmdrtEme/i
v0YAAAAJcEhZcwAADsQAAA7EAZUrDhsAAABNSURBVAjXY2BkYFBmYGB5GpbEwMDml67AwMDBAAIo
5KwKAQYGbgXmN2DuNjB5z4BhK5AUYHBjYOhjYChgYPBmYLBl4HJiYGC+26vAAADU3wwJQ/EKOgAA
AABJRU5ErkJggg==
) |
63 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD4AAAATBAMAAAA63aOfAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMhAi783diatmdrtE
mVQhVHx6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA90lEQVQoz2NgwAMuMOAHG4iQZ2RgUEYRZMrf
HcTA7u8DlWf5GpaEqov7wQkGBn2Yfjb/dAVUeY5k9gkMLAy8u3d7797JwIFhK8drhmAGNph+hDzX
trRUsLzlAlMs8jxRUHs4DBq5ChDysyoEwMKmMGdwGHAz7IHLcysw/wELB8PtN2C8oKaGFH7bwGQA
Qp5hHt8WJAffNwCFk1taWlo2VJ5DoQUmuRUoD3IA0wYk/UwNajCeGwNDP5iRgCTPIMUN4xUwMHiD
Gavg4Qs0jksaxrNl4HICM1gfQEXAjKsweea7vRCPM3UfAtOM8SDzVDFjm6caEr4oAADe0TJE7QJ6
2QAAAABJRU5ErkJggg==
) |
| proveit.numbers.numerals.decimals.posnat5 |
64 | instantiation | 79, 81 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGEAAAAVBAMAAACkm51HAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAKlBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADmU0mKAAAADXRSTlMAMpndq3ZmzYkiRO+7EDr+BQAA
AAlwSFlzAAAOxAAADsQBlSsOGwAAAD1JREFUCNdjYGBgEGIAARMQwQomxUpAZAOIZJ0AIqcxgMgG
EMk2AUROZQCRS1xcbnuAlG4Bm3AHROjcdQUAhwAMRSL9jTgAAAAASUVORK5CYII=
) |
65 | instantiation | 80, 81, 82 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJMAAAAVBAMAAACwIsHjAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6sy
RO+L2jdBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAV0lEQVQI12NgYBQyYWBgCGOocGDgbGBgXMDA
tYGB7TsDvwEDzzeGeiD5k8FfgIHnE5j8yFAvwMD7CSTL9o2BawED53cGzgcMzAEMDG0MdQcYGIqF
9jAAAMPIEplEfAWeAAAAAElFTkSuQmCC
) |
66 | instantiation | 254, 233, 83 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAQBAMAAABJt1qBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA4klEQVQY02NgwAC3KucvqbwAYjEKKqPJTWhi
OHTTgIGB2ZUhvQFNqpuBk02BgYGpgIFzAoYUY8MCBgb+BQzcn8EirFNcvBBSQOX2ExhY/4AEeJYa
IHQxGStAdP0FCXQZIBmY+aoBYtdXkMAKhF3tS74EA2nmGoakfyCBBUjOuGsFZhhGP/0GpNhKXFxc
PKFSnLYXIKrALmSegKSLTWAyhAnxlwOyv8Q6gTRfMYN9AkggFFnKkhVoIqszw1ywANcDuFQjA++F
OUDGbsEDYAFmzcPwkJ/BMHP9A6Sg49kJDSgoAADHsUGD3TZX/QAAAABJRU5ErkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAUUlEQVQI12NgYBRUZmBgdmVIb2BgKmDgnMDA
v4CB+zOD/QQG1j9g9l+w+FcG5hqGpH8MDIbRT78xAAFQDRAA1fMVM9gnMLA6M8wF8ncLHmAAAOjt
EoLyJ+qzAAAAAElFTkSuQmCC
) |
67 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJsAAAAaBAMAAABSozPCAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.absolute_value.abs_complex_closure |
68 | instantiation | 146, 207, 84 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIEAAAAUBAMAAABYJUOTAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
69 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ8AAAAXBAMAAADn1oBmAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAq1RmmUTNIjK7EInv
3XZ/CtNrAAAACXBIWXMAAA7EAAAOxAGVKw4bAAACGklEQVQ4y2NgIAEUACGciV0BSYBPgWErjL0V
q4o4IBYAMZSJMlCbgZCBfAYMDK4gRjox5nElEDSQIYuBoRFIsU8gxkAWA8IGmjAwsC1gYOBWIMZA
HgbCBvIsYGAG2stGVBCqEWEgG9C0s3fvnibKQG+IOesertitgGEg1zup7k1AvwLj2IOBYRZCwgG3
gckQAx345FguQAz0vQsCF8EBzPDwgS8DAzMw4goZ2AUQuhDR0xkApna/hglcAhvIXMD8i9EAw4Xm
DPYLhBkYmA4wMHAu4A7AZiDXTlBUMT9ghQkdBRvIwcCSgCUMGxjcQBTHB6ChD5DjBDkBvQSGME8D
w3cUA4FCD7BGyjkQwQp0IUOCHZB45/6kAGEglGf5gKF+AcMhFC8zMMQXcC3ACEMG1u8Mq4CuuwBk
bgImb74CSTYFuIFwnk1B/wKGy1AD54ENXBkgw8CN4UKuqYwHGDYAQwikvwYYJ8wM8zgQXobxVk9l
ABp4DqppI9hA/S4fhiAMA5l+LDnACnQDC9BQBsYGkNB3lDAE80okGEBe/gTV1As2cMk7JmcFTBf6
PVAxAtK88PjlOMCOZCCYVyjBgBIpvA2Ec0otjFHDncCCMBDMW+gODs4HrLBUyuxA2EBneEnydN8r
hIFg3iqIzO4nC2CKphM0EEuxha8gW0nQQM4Ckgxkf8DwAsZ+gVXFcwY8BnbOBAISax3K6y1MAAAG
Op2JAMAlLAAAAABJRU5ErkJggg==
) |
| proveit.numbers.absolute_value.abs_non_neg_elim |
70 | instantiation | 99, 247 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAARBAMAAABp3DInAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMt0Qq5nNdoki72ZU
RLsDrqvKAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAoUlEQVQY02NgYFRmQAcc7ZEMDCZhn8Ec5myE
RA6D0QQGBnaIBIOFOkycW4GB4wFCgoFdwwDC4HNg4PmMJMHADZXhD2Bg/IMswcCTOgFE2QMlfqNI
MPCmgPTMb2Bg/I4mkQeT+IFqVArEqAYGXhQd3Kpwy3n+YHXuAwbuz1g9uICBNQEYMD8xgkSHwUqA
gcXrmzd6IJq2OzJQAJiVwEAAxgcA1aooYscsnMQAAAAASUVORK5CYII=
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
71 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD8AAAATBAMAAADVH8ihAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABAklEQVQoz2NgwAMYGQgATjIVmPycZcCw/fsB
mAJGQWU0FfN4FBiYP8BMYHZlSG9AVaDSsJeBoYBBcub0mTMvMDAVMHBOQFWgN4GrgcEBZgL/Agbu
zxCJSBeXBSBa4yrHAoQC+wkMrH/A8qeCoSZoMCVEo5rwF8TgWAyzQoNhAucBuAKQG76CGFwNCAWJ
zM4OsJBkrmFI+gdWwIBQwPvgZQGcaxj99BuITncBggkQBQzKTAVI3oL4whLJBAYjZgfkIAfrY0FW
wBYADxu+Ygb7BBCDNQAmNA2Iw+AKWJ0Z5kJY62BCIAbjAriBuwUPQBhGcwzAdNZ3oG7mBVji+fQU
F0xhAOzYOgZntIeUAAAAAElFTkSuQmCC
) |
| proveit.numbers.numerals.decimals.posnat9 |
72 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAREAAAAXBAMAAADelGYUAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.exponentiation.exp_pos_less |
73 | instantiation | 254, 233, 85 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAQBAMAAACmdTG/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA2ElEQVQY02NgQAe8li6fd/oCGYxKJgGoUiyM
Dey9XgwMIgxs39FlEhgcIhgYGhkYZmLKKDIzMMxfwNAvABY5snu3AVyGhYGhm4GhH2xR8SkkPV0r
wMz9IILRCsk0Vj9DEIv1D4hkFkDITN6/ZwGIxd0AlkFyQe4tsIUMKmAycjcQOEBN87oL9jNYC8MS
ZFcHsYBMe8bACLKCG1mGKRComzWBgQekgOcAkgyXw1kGBmklJW2wgB1CRoHhLksBw/7//z+DBVa4
L4CF9RcBFud/SOFV5g0JHSgAAFzjMhP8qnJ+AAAAAElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAOBAMAAAAPuiubAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAATklEQVQI12NgVDIJYGAQYWD7zsDQyMAwk4Fh
/gKGfgGGbgaGfqAEA8N+EMH6B0RyN4BIFRDBC2Y+Y2AUYGBNYOBZwCCtpKQNVPz//2cGAEeID1mi
/zO7AAAAAElFTkSuQmCC
) |
74 | instantiation | 254, 86, 87 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADUAAAAQBAMAAABEqSrGAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAie+ZRFQyZnYiu6sQ
3c1H9AzSAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAyklEQVQY02NgwAR1WuvfahUwYAcLZjN4Vx3A
ITeRgYttA0455gkPUMW67t59AJdbgCLl14PQx30GZKbQ////P4NEON8gmZkVN4GBgVEkML0tASTC
NwEuN+ntX5AZqQydHGApBj4kt5Sfg7K4IV5JugsECyByXMfBfmfbwAtRcwpJH5vBGhCDuYAfIsKL
7D+zWSDG+QP8DmARjgYkuVMcIEN7GfgFIEJP4XKTGdgLlgAZSxm4oXKnlxyAxcNKhlXvA1ACxnHt
XeRQBAD5NkVfBxT/VwAAAABJRU5ErkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAJBAMAAAD0ltBnAAAALVBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAOrOgAAAADnRSTlMAie+ZRFQyZnYiu6sQ3Ump
3QUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAA+SURBVAjXY2AQevfu3WMGRpHA9LYEhlSGTo4EBiBY
wH0ASLJt4AVxmAv4QNS5A3wOQKqXgU8ASC1l4BZgAAD4TAy/WtcQ8AAAAABJRU5ErkJggg==
) |
75 | instantiation | 131, 88, 89 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJYAAAAVBAMAAABWCwqnAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAQBAMAAACmdTG/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAArklEQVQY02NgEFJ2ZcAK2AwY6guwynB8Z8if
gFWGdSkDP0KGfSKKZP0GGIv7cAKKrtNwkw9BJLT+////mYGBt+8tVCLpBIRmUi263XsBbBrEbcIw
vdcZGjnAEgxc30Ak33SEBQ58QGN5LzCwfEeT4X3AAyT5v0FlEKYxMG/gBxn1AGoawgUM+Qn8AUAv
bED4J+MExNU9DPwKQCrYGBGi3BAPuTPwKaCHFfdEBsIAAO2KLFnq+q8XAAAAAElFTkSuQmCC
) |
76 | instantiation | 160, 103 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAQBAMAAACigOGCAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAy0lEQVQY02NgVDIJYEADbDmKDAwiDGzf0SXs
GFYLMDQyMMxEE+fdwMDmwDB/AUO/AJDHZQuXYGlg4PvF0M3A0A+2ZNkemAS/AgPrPxBjP4TPs20B
hLEeKPEXSLP+gZm9CSIjnwAR426AmcFnJACT+AakVRDuYbcA6VmfwMAO1MHbgCRhsgBiOR/Q8mcM
jAIwoyzALBYHBt5fDKwJDDwLYJZDVPBOYGAyYJBWUtJGcy7DPoaVAQz7////DOatgXuQYVFOK8Je
rr0MxAEAbeYtTC3RqjAAAAAASUVORK5CYII=
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAOBAMAAAAPuiubAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAATklEQVQI12NgVDIJYGAQYWD7zsDQyMAwk4Fh
/gKGfgGGbgaGfqAEA8N+EMH6B0RyN4BIFRDBC2Y+Y2AUYGBNYOBZwCCtpKQNVPz//2cGAEeID1mi
/zO7AAAAAElFTkSuQmCC
) |
77 | instantiation | 173, 90, 91, 92 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADkAAAATBAMAAADYAbjmAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA2ElEQVQoz2NgAAE2pXcJDDgBMwPzAdyy/AGM
f3HLcifgk2VgYMJhspCyK5C8g+EqYzugEJsBQ30BA6MbumROA+9CBgaO7wz5ExiEGQTRZF8xMLgw
MLAuZeCfwOh71wxN9icDgz7YtvoNXP//f0CVZPvCwNAfAGSwnsbmWJDeDQwMvH1v4UI2Z0DgHNRe
/wawyQVY9GYF8L4Hi3N9wyLLZqHef4GB9wIDy3fs4QR0M/83JFkkexnA/uV6gN3kqgQ2YMRwbwD6
F4tsTwILSDjY2BVrpCmbMjAAAEJAO8M4viKZAAAAAElFTkSuQmCC
) |
| : , : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAUUlEQVQI12NgYBRUZmBgdmVIb2BgKmDgnMDA
v4CB+zOD/QQG1j9g9l+w+FcG5hqGpH8MDIbRT78xAAFQDRAA1fMVM9gnMLA6M8wF8ncLHmAAAOjt
EoLyJ+qzAAAAAElFTkSuQmCC
) |
78 | instantiation | 254, 246, 93 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADEAAAAQBAMAAABNQoq8AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMhAi783diatmdrtE
mVQhVHx6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA5UlEQVQY02NgZGBQZkABT/1dt2V7MjCwfA1L
QpVZ3cjAyhDAwMDmn66AKnOXgWEl+wMGBg4GdNDMwLRBmwFZZnVaWgCIVmDgFWhEljm6CK5GgvEC
SGZWhQCIxxyEMG8TN8hqbgXmPyAeqwFcgq9gFpS1DSyD0AJ2MxjcBykXSQOCDWD+OvYDDEwMDFuB
MiCLtOFamDZYA603YHBjYOgH8dngMhwCzQwM+gwMBQwM3iA+1wKYjCwP0M1tDAy2DFxOYIE4uJtZ
FRisXwP9cbcXEm4aeyA0j3fI7i1ftiOH1/FtaQFIXAC24S1//Nj3XgAAAABJRU5ErkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAPBAMAAADE5vg+AAAALVBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADAOrOgAAAADnRSTlMAMhAi783diatmdrtEme/i
v0YAAAAJcEhZcwAADsQAAA7EAZUrDhsAAABNSURBVAjXY2BkYFBmYGB5GpbEwMDml67AwMDBAAIo
5KwKAQYGbgXmN2DuNjB5z4BhK5AUYHBjYOhjYChgYPBmYLBl4HJiYGC+26vAAADU3wwJQ/EKOgAA
AABJRU5ErkJggg==
) |
79 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKkAAAAVBAMAAADP89MSAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.addition.elim_zero_right |
80 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOcAAAAWBAMAAADJFJavAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.addition.commutation |
81 | instantiation | 254, 244, 94 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAQBAMAAABJt1qBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMpndq3ZmzYkiRO+7
EFRAb64nAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAy0lEQVQY02NgwAJuHC6PlACzhNBkWL0TePUP
gZkmaFKqKxgY2MBSrGhSjApngaQTiClWAjXnsLE5iGa5cABIXgMxGyBSXKUXIEp4OBVglk6ASE2H
yjBMYWyAsqYxQKQqYXZJcCVAWQ1QqQKY1CSuAAiDbQJEinGzsbGxDcQuqIFTGSBSvAdgunguQJlL
XFx+e4AYBjApLrC/uMDsLWAyFBEaS4CEOpj5B0yyP4CH4XFN3sdgv+n8dwVb5rMWHvKnP2uihB1X
DySgYAAAkCksPrOAU+UAAAAASUVORK5CYII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAKlBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADmU0mKAAAADXRSTlMAMpndq3ZmzYkiRO+7EDr+BQAA
AAlwSFlzAAAOxAAADsQBlSsOGwAAAD1JREFUCNdjYGBgEGIAARMQwQomxUpAZAOIZJ0AIqcxgMgG
EMk2AUROZQCRS1xcbnuAlG4Bm3AHROjcdQUAhwAMRSL9jTgAAAAASUVORK5CYII=
) |
82 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAQBAMAAABJt1qBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6sy
RO+L2jdBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA50lEQVQY02NgwAIKV4SqHATSjEImaDJM+yaw
2y8GMsIYKhxQpYwuMjBwAqU4GxgYF6DI8BgsB5KbGRi4NjCwfYeYs6KjFURzF4CUVjIw8Bsw8HwD
ifAGFUB0cbEYQBj1QKmfIIYrVIbBm0cAwvAXYOD5BGKEwOw6yDsBIfURxAiASTnzKkANFGDgBeni
edHR0dEFsQtqINAZbCBnsMN9wFUAZXItYOAEO74BJsUL9hcv0MsPGJjB1ighQuM2kDAF4jaGugMg
AdYEeBguNWHPAPmtWGgPWIB913V4yK/7gRrkvFKQgIIBAHVzMRABAhG1AAAAAElFTkSuQmCC
) |
| proveit.numbers.number_sets.complex_numbers.zero_is_complex |
83 | instantiation | 254, 249, 95 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADQAAAASBAMAAADmo+DzAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABC0lEQVQY02NgwAKsZ86UANGMgspoMqzqCRxO
GxgYmF0Z0htQpfbuZWA4eJKBgamAgXMCigzbhgUMDJy8AQz8Cxi4P0PMmeLiBaI5jRUYGLgTFjDY
T2Bg/QMS4VlqANFlyRbAwMD3QAys6y9IpAsqw5DNcwGo8MI9sF1fQSIrYHYd5X0AtDDgLQNzDUPS
P5DIAphUNx9YVwwDg2H0028gd5W4uLh4gp0BsUsYxAa7kBnuA04LqAtBbLCoA0yKB+KvBwx8xQz2
CSCRULifZYGhcQgYGqzODHPBAlwPYFLcoDAUADJ2Cx4ACzBrHobJNf5aL4YSdjw7IQEFBGrAEMQB
mAKCnh3AIfdoVuUFAPWYQAz7bEt6AAAAAElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAUUlEQVQI12NgYBRUZmBgdmVIb2BgKmDgnMDA
v4CB+zOD/QQG1j9g9l+w+FcG5hqGpH8MDIbRT78xAAFQDRAA1fMVM9gnMLA6M8wF8ncLHmAAAOjt
EoLyJ+qzAAAAAElFTkSuQmCC
) |
84 | instantiation | 146, 96, 97 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH4AAAATBAMAAACkZ6Q/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARBAMAAAAidOHKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAbElEQVQI12NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQYGAHjIFdRVzx08AAAAAElFTkSuQmCC
) |
85 | instantiation | 254, 249, 98 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAASBAMAAAAEf/uKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABAklEQVQY02NgwARcKS5OAkCaUckkAE3qxFQG
6TYgLcLA9h1Vhu3aBQZ2dQcGhkYGhpmoUmHMQMLhDgPD/AUM/QJgoSO7dxuAaK8VQCIVKN/NwNAP
tqz4FNQRDjFA8h0TWHA/iGC0gprHmlALJGt5H4DYf0AizAJQKfYD94BkDN8FIMndAJaCuYIx4S1I
F08BkFQBi0TuBgIHEAtq1wIGBl6wJoYlcMd7SUBdyPCMgRFkDTdcqgzsr3sgBzHwAPUy8ByASTGB
QqMdaLa0kpI2WMQOri0DGIZNIE/9//8ZLLDCfQHMjfrGn1CDvMwbElAMDBwBdxhwgR6evnAcUnwt
lr4MAECIOxjlwmF1AAAAAElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAOBAMAAAAPuiubAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAATklEQVQI12NgVDIJYGAQYWD7zsDQyMAwk4Fh
/gKGfgGGbgaGfqAEA8N+EMH6B0RyN4BIFRDBC2Y+Y2AUYGBNYOBZwCCtpKQNVPz//2cGAEeID1mi
/zO7AAAAAElFTkSuQmCC
) |
86 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEcAAAATBAMAAAAwgQ3NAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAZs3vu90iq0QQiTKZ
VHZ+Ip2vAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA2ElEQVQoz2NggAMeBiIAC4WKhEz8VU0EsCtC
yDmkM7SLTMBuElzOIYuBhbuA4YiLs4uLALoiiByYwZOggMMkmByY4YCi6EloaGg0A7IckME+swBZ
0aZlSCZB5ICMLZcSkBRxhiFbB5FzSFb9+hI5xNkbEIpgcg5ZgpNQXMuE7HConEMWy0QUr29HVgSV
c8jiPuCJrCgdWRFUDui40ynIilhRwgkiB2RM4UO2j0cAWRFEziGHgVHAA9koDYQiqBwwpt0YXPQv
ICmaUjEBngrQ5RCgyxUaLVAAAE/QO78Jjuh2AAAAAElFTkSuQmCC
) |
| proveit.numbers.number_sets.real_numbers.real_pos_within_real |
87 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEEAAAATBAMAAAA9n32KAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAie+ZRFQyZnYiu6sQ
3c1H9AzSAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA3klEQVQoz2NgwAeYGQgBLrJV1Gmtf6tVgNeM
BbMZvKsO4FUxkYGLbQOD1apFq1YV4FLBPOEBNjO67t59AFexAIsKvx6EGdxnNsBVCP3///8ziMH5
BsmWrLgJMBWMIoHpbQkgFt8EuIpJb//2wMM0laGTA6yAgQ/JpeXnUFzOfQBMJ90FggUQFVzHkXzJ
toEXwjiFZAabwRqk+CvghzB4kcPDbBZCxfkD/A5gBkcDkopTHAhrehn4BSCsp3AVkxnYC5bAVSxl
4IaqOL3kACxuVzKseh+AJT4c10JCHQUAAEX0SP+KhzjKAAAAAElFTkSuQmCC
) |
| proveit.numbers.number_sets.real_numbers.pi_is_real_pos |
88 | instantiation | 99, 134 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADEAAAARBAMAAACGHlkZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6sy
RO+L2jdBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAy0lEQVQY02NgYBQyYUADLIJWF4BUGEOFA1yM
LQREFjOwfWNg4GxgYFwAk+BsLgBR+gnsXxkYuDYwsH2HSjA1giUY7l1gAMrwGzDwfINIFDYhTP3J
wFAPlPkJ5hV3ItxwYwIDg78AA88nEKc6DCFxaPcBiMxHEI8bSQbstnoBBl6wHgZnJNMY3heAXMCG
7oIzDAzrExi4FjBworv6fwFIhvMBA3MAmk9fg01jaGOoO4CwOQZEzgT7h6FYaA96iPIag0OUElDR
AQI9cD4Ab8A2/0NhQ+YAAAAASUVORK5CYII=
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAATElEQVQI12NgEFJ2ZWBgM2CoL2Dg+M6QP4GB
dSkD/wQGIKjfACRYTwMJ3r63DGCRAhDJ9Y2B9wIDy3cG/m8gkusBSIR7A1h9sLErAwDNcRLUUVUn
vwAAAABJRU5ErkJggg==
) |
89 | instantiation | 100, 101 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAQBAMAAACmdTG/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAArklEQVQY02NgEFJ2ZcAK2AwY6guwynB8Z8if
gFWGdSkDP0KGfSKKZP0GGIv7cAKKrtNwkw9BJLT+////mYGBt+8tVCLpBIRmUi263XsBbBrEbcIw
vdcZGjnAEgxc30Ak33SEBQ58QGN5LzCwfEeT4X3AAyT5v0FlEKYxMG/gBxn1AGoawgUM+Qn8AUAv
bED4J+MExNU9DPwKQCrYGBGi3BAPuTPwKaCHFfdEBsIAAO2KLFnq+q8XAAAAAElFTkSuQmCC
) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAQBAMAAABJt1qBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAie+ZRFQyZnYiu6sQ
3c1H9AzSAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAqUlEQVQY02NgwA7YDBhwAd4NOKV6MaVYX0LM
q8OQYr98AEwz8oGkhP7///8ZKsNxESLD0AmSYhQJTG9LgAgcvAFVwlkAkkpl6OSAyky+DjOXkQFs
IMMCbogp3E/hVlZCpNg28DKgSXE2QKSYC/gZ0Axk2b17v7YAA8P5A/wODGjOYGBgAunqZeAXgAmc
uAF1PAP/AiCxlIFbAOFlqMeY1/9uwAiOlwxEAAALri3VKrCAOQAAAABJRU5ErkJggg==
) |
90 | instantiation | 102, 103, 104 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKsAAAAYBAMAAAB3mBDxAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAATElEQVQI12NgEFJ2ZWBgM2CoL2Dg+M6QP4GB
dSkD/wQGIKjfACRYTwMJ3r63DGCRAhDJ9Y2B9wIDy3cG/m8gkusBSIR7A1h9sLErAwDNcRLUUVUn
vwAAAABJRU5ErkJggg==
) |
91 | instantiation | 105, 195, 106, 107, 108 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJAAAAAuBAMAAAA1qI2OAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACkAAAAVBAMAAAAp9toTAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAInZUiRDNmWbv3US7
qzJazP2FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABG0lEQVQY012RMUvDQBiGnySNbZqSdnByqj9A
zCCudRCchODiUjCL4NhBqINDNh27F1FwEafgIjpVVwf7B5Tg6CBCqLjpd5c7wQZyfO+T+9578x3Q
4f+jtRvP0Ru1rMHi1lMFnM3jHDcDP8Uf0KsadvFK2Id6hluyl2q6GvtfcAIBhGPaFb3LERokrGvZ
y8xR3jcsZByqOryyAe7lc23KgZTRyquBby8FNFIuKwcbWmXwRoy1CGbW4jwh+lQ0KmiVGn3Ac0w4
Ug7tmaU/iaLeBY/SPlUOidAz7dCYsC1nZpJX/RSnOm99g3cRt0OZzrVsDocyHZo5zcJmSmyMJWkf
mLr2N+AjeR9MvWOhM5Glb0TX0pa6Iqc7d0PL8Avszz8OiYjqxwAAAABJRU5ErkJggg==
) |
92 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFcAAAAVBAMAAADBdm84AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.numerals.decimals.mult_3_3 |
93 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAQBAMAAACmdTG/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMhAi783diatmdrtE
mVQhVHx6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA30lEQVQY02NgZGBQZkAGTPm7gxjY/X0YWL6G
JaHIMHA/OMHAoM/AwOafroAqw5HMPoGBBUgzoAOO1wzBDGzIMqvT0gLAMpYLTFFkji6C6TFo5CoA
ycyqEADxmYPgphlwM+wBynArMP8B8VkNEDKMF9TUwMxtYBmECwwY5vFtATPvg5SLpAHBBqgMh0IL
A8NWoAzIIm1kPUwNQNPcGBj6QXw2ZBkGKW4GhgIGBm8Qn2sBPHSARnBJMzDYMnA5gQXiYDKsD4DE
VaA/7vZCwk1jD4RmjAeZoYocXse3QUIHCgCewig8K+7U1wAAAABJRU5ErkJggg==
) |
| proveit.numbers.numerals.decimals.nat5 |
94 | instantiation | 254, 233, 109 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAQBAMAAABJt1qBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMpndq3ZmzYkiRO+7
EFRAb64nAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAyUlEQVQY02NgwADpe84X70mAsIXQ5A5MYViS
cwHMNEGXmsHAw+gAYrFikWKaUABiiZVARFgPG5sjpA6AWA0QKa7SCwhdLHdBBrJOgEhNv4BkoMzz
CUDGNAaIVCXCrtnFn2PB5kGlCpCckXYdRLNNgEgxbjY2NraBSvFcA3l5KgNEivcAki5GhbNAeomL
y28PkIABsr8U50CYW8BkKLLUHVZIIP4Bk+wP4FKTGNgSToFYOv9dwZb5rIWH/EmGM/UPkIKOqwca
UFAAABqnQKuoKEK2AAAAAElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAKlBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADmU0mKAAAADXRSTlMAMpndq3ZmzYkiRO+7EDr+BQAA
AAlwSFlzAAAOxAAADsQBlSsOGwAAAD1JREFUCNdjYGBgEGIAARMQwQomxUpAZAOIZJ0AIqcxgMgG
EMk2AUROZQCRS1xcbnuAlG4Bm3AHROjcdQUAhwAMRSL9jTgAAAAASUVORK5CYII=
) |
95 | instantiation | 254, 246, 110 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAQBAMAAACmdTG/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA8klEQVQY02NgwAB8y7+vdJl+gYGBUVAZVYZ1
UgLDAi4GBmZXhvQGFBlGAQbWC/sYGJgKGDgnoMgwNTBYMgOF+BcwcH+GmDLFxQtEMzMwiDElMDDY
T2Bg/QMS4FlqANPFppDIANHzF8TtgkswcBpMZoDY8xXEXYGw6TVvAMjUGoakfyDuAoQMyM1AYBj9
9BvI7BIXFxdPiFMe7GFgAJsNdhszwumWHEC2BthCsKADXEYN6CPmDwx8xQz2CSB+KNzNAgeBDnNg
YHVmmAsW4HoAd/NiBo55QHN2Cx4ACzBrHobIHJ9VObO+cgNSePHshIQOFAAAyZQ0bah2e8sAAAAA
SUVORK5CYII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAUUlEQVQI12NgYBRUZmBgdmVIb2BgKmDgnMDA
v4CB+zOD/QQG1j9g9l+w+FcG5hqGpH8MDIbRT78xAAFQDRAA1fMVM9gnMLA6M8wF8ncLHmAAAOjt
EoLyJ+qzAAAAAElFTkSuQmCC
) |
96 | instantiation | 190, 111, 147 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEAAAAATBAMAAADSXRa0AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiasyIt1EEO9UdruZ
zWZ7xlX5AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAqklEQVQoz2NgwAeYw/FKMxSd/Y5fAQMXlRQI
ChngVeCawN7CMgEheDQUBIIQCroYGPZwFdhuwGUCzwcGhrOMDEwCuBRwALVKiDNwGOBSUL+AgUF+
AoP9KnUcbuAHKpBgYFhasAaXGzYw8J1nZtjH8BaLAsYvoGB4t5xHiqGZ4RCmPJPGXz0Y+wNDJ9+5
iXgCNZxvA+cWZjwKbFYxMFwgEDMsBwgo4JyATRQArOcvsCF6kd4AAAAASUVORK5CYII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARBAMAAAAidOHKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAbElEQVQI12NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQYGAHjIFdRVzx08AAAAAElFTkSuQmCC
) |
97 | instantiation | 112, 256, 113 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJcAAAAaBAMAAABIn9NMAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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==
) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARBAMAAAAidOHKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAbElEQVQI12NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQYGAHjIFdRVzx08AAAAAElFTkSuQmCC
) |
98 | instantiation | 254, 246, 195 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADEAAAAQBAMAAABNQoq8AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6ElEQVQY02NgwACP50/23jKXgYFRySQAVeZI
KwMzgwEDgwgD23dUGSUGhrNsDxgYGhkYZqLKNDJwOSwB0vMXMPQLQEzZvdsARC9gYApoBdLdDAz9
YIuKT8F1RbAqQBj7QQSjFcI8L5YFYJr1D4hkFoBL8CXcgTC4G8AyCC1gN4OACpiM3A0EDmDmObYC
Bi4gzQvWwrAEroXLQYSBgQNo+DMGRpAV3HAZjgCgH9cD7U9g4AG5hOcATCaIXQHsGWklJW2wgB3c
zcwLGESeAD3z//9nsMAKd4gn2KdYunj+dEMOrzLv3QZIXAD9XDFvtfFLvQAAAABJRU5ErkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAOBAMAAAAPuiubAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAATklEQVQI12NgVDIJYGAQYWD7zsDQyMAwk4Fh
/gKGfgGGbgaGfqAEA8N+EMH6B0RyN4BIFRDBC2Y+Y2AUYGBNYOBZwCCtpKQNVPz//2cGAEeID1mi
/zO7AAAAAElFTkSuQmCC
) |
99 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHcAAAAVBAMAAACOK2zoAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.number_sets.natural_numbers.natural_lower_bound |
100 | theorem | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHMAAAAWBAMAAAABVL48AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.logic.booleans.conjunction.left_from_and |
101 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFkAAAAQBAMAAACPcs44AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABAUlEQVQoz2NgEFJ2ZSAK8BowMLAZMNQXEKWa
5wEDA8d3hvwJRKnuAapmXcrAj1DNPhFTFVSMd+cDMF2/ASbBfTgBQzFMjIkTrJr1NEyC4xBEQuv/
//+f0cQYGsGqefveQiWSTkBoJtWi270XUMUYGDdwQl0CCRNhmB3XGRo5oIrhYgxMDFDVXN9AJN90
hFsd+CDWI4ltBKvmvcDA8h1NhvcBDwOaasYGsGr+b1DVSLYyb+BnQHMJ67t379cpMHA9gLoEyUf5
CfwBaD4HORhoNvcGRHhnnIA4t4eBX4EBTQzoCgcgEWyMSFXckMB1Z+BTQBdjYPb/14AecVhiHpsY
UQAAqmBKvCLlKIkAAAAASUVORK5CYII=
) |
| proveit.numbers.number_sets.real_numbers.pi_between_3_and_4 |
102 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZoAAAAVBAMAAACNuTXpAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAq1RmmUTNIjK7EInv
3XZ/CtNrAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAEZElEQVRYw51XW2hcRRj+9pazu2ezWSioFQkr
ahto6wbRaqvoQlYtxMpSWygYcKEPUp+OL0K0jeuDKBbbKA31KJTFlmoMNGnJeRAx5CUgLS1pTSUv
gV1bBZUGqWBLnpzLuc05s7ODw/67c2a++fb/5vLPf4Ce5faqut/iP6mR47finQa0itWtQ2e84Vov
R1lx1N3FMv89MzZciDv1q5YYjyNeMu3eoymG4RyU6PMjajVKzDb3993fMdCKdibntNRsk7a+Nz8F
3NQYftM1By/SxzfValSYfMOrDWIs1ntOS0zAIbRWUSmjr9V7PMVQc/AB3XSTajUqTHrYq/2EWjba
O6KlJuAQtt8dzDaQqvYeTzHUHKbJLKvVqDAF/yz+jdWhaO+ilpqC/DgsYYAs2iUNgkvcHKTIvPT1
iAIqzBb/z0v4KzrHyYaWmi3dOiqE8BCr3U9svCvBIW4kXl1ZW7vcK6YpMKPEzne+/UG6dGkSBPLr
Dx676LdIoYQj0/lm4XRsdX4mXxdY9WgThiQAu3QXOI54ugf4UuLIXFhNF4w3LdXiYHrZb9m7Rss1
djzJ3KbRae/1O0VowGHmBjEbCfDZzgPkeyffx6tUUKy4dDs5jnj6NoySxMtqWE0UUzw5OOFWr5MD
aKU2EtKD3E/m7Wm80Nrkn1cplHAc6J/E+zF3SUzDdl49+pFkaTw6itnOPM21zHr4Yl1x8FwpoiaE
yXbsev4zK/mV+7xEmpDucj4KZFQTL/GA+y8CKHvwC+FozdZRocH4HFtZ1/PCBnDC9WtN1CrQneBG
PE22gwN+fPMUHjZb6VZETQhTI6TmeeDZwBPyr+3uaoCr/GEFIehKRA0qwH2RjdZE7g68SyyqRqAb
40azlsbz/qHdQ+/8dtXEfG2lVg9lNgyz/vItq0i3yZkPgwTqOv16w8q3ZOeG7jRk7uK7wAkBGuIg
Uv7JC60DG0zNDsVO8+goZgf39OJbXsrIsoihxybM6LlhmKK1ua88TVu2bg3oSCCarj8EU7o2uTby
U4nFIKTIoTSYXUZyQ+wplNhO26WIAh7dLm7U0yMlN2XMs+t+yPz69ZgaiknhdBav0ZbduwNCEhgr
n7yCfVI1ZgnJe2cXM35MFqHkqp9tcA7jHoqNZ8QjPszum1ExQntjBLpRbtTTRNNNGTMs2Ayh+kdM
TYLNy10SB23bLn98MPjPT4Gz68kReaaQXUb+1fajT/gNIrS/Sj+MI0OQmyIk+2sk68QNVqex+p3w
GIHuBjcnnDKmDtv250TNTF/0vnF9WzRwjE05iQLeHu9vqm5enTcONYexrPGCs8zNCaeM2Tm+NpnH
pe83R8xGmsRqOnrewkIo4+tentRSo+KQZ6RxDDVHSBnZff8U0JGqSf+28CeML2h15vBJfzpPqf4n
Z2nJUXCMawwfd80RUsZx4mL2FwsJxbvnjG3XxbiifHOZ1FIz/b+ECphTMU/z39tTceyP6s1vKN91
J7TUdOcoaiwuxVC7vfQfTxJD5Y5iRHgAAAAASUVORK5CYII=
) |
| proveit.numbers.exponentiation.exp_nat_pos_expansion |
103 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD4AAAATBAMAAAA63aOfAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA+klEQVQoz2NgwAMUGPADB3Lkufa7WDGwzZ8O
lWdUMglAVcDyoIKBYT1MvwgD23dUeY6NbBcYOBmYXFymuPgyNDIwzESTf8JgyMAN0z9/AUO/AFic
x3v3ZrC87AFhhHw3A0M/2AHsNgug+gVaeRK4kdy/H0wKL4CZL8DC4I4kz/oHTBnC7RdgVVi9GhF+
3A1gygAhz3CPzxPhXhWIKbN37969BSrPsaATLs0L0c7lgKSfq2E1XP4ZAyPYfxuQ5BliWGA81gQG
HrDLz8DDF+hdnhAYT1pJSRvMYH4AFQEzlGHy+////wxxQEsVxED7KUByMWbEsqdAwhcFAADR3TMJ
UN3KygAAAABJRU5ErkJggg==
) |
| proveit.numbers.numerals.decimals.posnat2 |
104 | instantiation | 254, 244, 114 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAQBAMAAABJt1qBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA3ElEQVQY02NgwAKSfGY2XgLSQsquaDIcrzaw
2TszMLAZMNQXoEpZBDEwcAOlOL4z5E9AkeE1cAOSjxkYWJcy8EOkOHzOnATRfAkOQDIbLFa/AUSy
zkiA6GJhNIAZwHoaTElCZRjkeBVgRve9BdMTYUovsW6A2wtxIdwtwqwNcCmubyDNa86cOXMEYhfU
QN4LDCzfgTSbA0wlSwKUyf8NIsVwAO4ssL9YgaY9gBjI0IEIjTggYQkMkQ1Qf3HCg4vD05CtBuS3
YGNI8LI9CYOHvNcfQ5SwY1WBBBQMAACnUzAZQnh95wAAAABJRU5ErkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAATElEQVQI12NgEFJ2ZWBgM2CoL2Dg+M6QP4GB
dSkD/wQGIKjfACRYTwMJ3r63DGCRAhDJ9Y2B9wIDy3cG/m8gkusBSIR7A1h9sLErAwDNcRLUUVUn
vwAAAABJRU5ErkJggg==
) |
105 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAuoAAAAzBAMAAAAz5zBbAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.core_expr_types.operations.operands_substitution_via_tuple |
106 | instantiation | 115, 195 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQIAAAAVBAMAAABfxf30AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAATElEQVQI12NgEFJ2ZWBgM2CoL2Dg+M6QP4GB
dSkD/wQGIKjfACRYTwMJ3r63DGCRAhDJ9Y2B9wIDy3cG/m8gkusBSIR7A1h9sLErAwDNcRLUUVUn
vwAAAABJRU5ErkJggg==
) |
107 | instantiation | 210 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAL4AAAAVBAMAAAAKgUmDAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAATElEQVQI12NgEFJ2ZWBgM2CoL2Dg+M6QP4GB
dSkD/wQGIKjfACRYTwMJ3r63DGCRAhDJ9Y2B9wIDy3cG/m8gkusBSIR7A1h9sLErAwDNcRLUUVUn
vwAAAABJRU5ErkJggg==
) |
108 | instantiation | 116 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALcAAAAVBAMAAAD2lGJJAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAATElEQVQI12NgEFJ2ZWBgM2CoL2Dg+M6QP4GB
dSkD/wQGIKjfACRYTwMJ3r63DGCRAhDJ9Y2B9wIDy3cG/m8gkusBSIR7A1h9sLErAwDNcRLUUVUn
vwAAAABJRU5ErkJggg==
) |
109 | instantiation | 254, 249, 117 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADQAAAASBAMAAADmo+DzAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMpndq3ZmzYkiRO+7
EFRAb64nAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA8klEQVQY02NgwAJunDmjCWEJocmwegtwmjSA
mSZoUm1tDAyL1oAVoUkxNhQwMPCwBQCZYiVQcw4bm4NonrsODAwcAkB5hgaIFFfpBYiSO4xADXwP
FIGKJ0CkpkNlGCS4EoAKE/IYGKYxQKQqYXYtZXsAtDDgGdA8qFQBTGoGH1hXFAPbBIgU42ZjY2Mb
sDMgdukyTGWASPEegOniuQl14RIXl98eIBEDmBQXxF8PQOwtYJFQuJ/VgKGxBBwaDH/AJPsDmBQH
KAwVQCyd/65gy3zWwuQmfa9XRAk7rh5IQAGBIzgEsQKWgJCHC3DIPTm+JwEAQtI384uJb+4AAAAA
SUVORK5CYII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAKlBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADmU0mKAAAADXRSTlMAMpndq3ZmzYkiRO+7EDr+BQAA
AAlwSFlzAAAOxAAADsQBlSsOGwAAAD1JREFUCNdjYGBgEGIAARMQwQomxUpAZAOIZJ0AIqcxgMgG
EMk2AUROZQCRS1xcbnuAlG4Bm3AHROjcdQUAhwAMRSL9jTgAAAAASUVORK5CYII=
) |
110 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAQBAMAAABJt1qBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAmasQ3XYy7yK7zYlE
ZlRwlz41AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA9ElEQVQY02NgwAAmP2cZMGz/foCBgVFQGU1u
Ho8CA/MHBgZmV4b0BlQplYa9DAwFDAxMBQycE1Cl9CZwNTA4MDDwL2Dg/gwWYZ3i4gVmaFzlWACS
sp/AwPoHJMCz1ACqS4MpIRqm6y9IoAsmw6DBMIHzgAPErq8ggRUMCKlEZmegFHMNQ9I/kMACJCne
By+BLmQwjH76DUixlbi4uHhCpRiUmQrATLALmScg6WIwYnYAMyH+ckCWYgsAivEVM9gngARC4VLT
gDgMKMXqzDAXLMD1ACa1DogZQa7aLXgALMCseRgik/UdqIN5AXLQ8eyEBhQUAADGsjX5LGbxNwAA
AABJRU5ErkJggg==
) |
| proveit.numbers.numerals.decimals.nat9 |
111 | modus ponens | 118, 119 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFIAAAAUBAMAAADsA3fZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiasyIt1EEO9UdruZ
zWZ7xlX5AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6klEQVQoz2NgIAowhxOnjqHo7HciVTJw0Uyl
oJABcSpdE9hbWCaAuCwHUGSPhoJAEEJlFwPDHq6CQiF1Br4FeM3k+cDAcJaR4QDDUYalJ/Gq5NjA
wCAhzvCNwd+AFb8764FWyk9geA5UWQsW5GNgvvEAmzv5gSolQBxRhjl8IDqFwcn5AlZ3bmDgO88M
jlmfJwzsAgwLGASAEA0wfgEF57vlPFIMDN4F4JTQwrAAGGTogcCk8VcPxmY5wOIAYSlwMXBOwBMJ
3sY2BRDWIyPmg/iiq///fyiL8353ApGp4RWxyYZhJ9EqcWQEAG8gPjXQJCAqAAAAAElFTkSuQmCC
) |
112 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWYAAAAZBAMAAADwC5mFAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.modular.int_mod_elimination |
113 | instantiation | 123, 124, 125, 248, 120 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ4AAAAYBAMAAAD5QlmNAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARBAMAAAAidOHKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAbElEQVQI12NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQYGAHjIFdRVzx08AAAAAElFTkSuQmCC
) |
114 | instantiation | 254, 233, 121 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAQBAMAAABJt1qBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA1klEQVQY02NgwAA7l/jPWbIBxBJSdkWTc5Bj
iNuSwMDAZsBQX4AmJcTAwvuAgYHjO0P+BAwpZgGgGOtSBn6IFIfPmZMIKQcwsx5sJ+uMBIQuvrQH
YLHTYAHJBCQDr1QKABm8fW/BAhMRdknN+dMGYUJcOAHJGbszoUyubyDNa86cOXMEKsWSDbKe9wID
y3cgzeaApIvXwA1I83+DSDEcQPaXrQjItAcQAxk6kKVSOIAmcm+A+osTHlwOwkBRUMAGG0OCl+1J
GDzkHRlc5iMHLKsKNKCgAAD1NDiww7nWBQAAAABJRU5ErkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAATElEQVQI12NgEFJ2ZWBgM2CoL2Dg+M6QP4GB
dSkD/wQGIKjfACRYTwMJ3r63DGCRAhDJ9Y2B9wIDy3cG/m8gkusBSIR7A1h9sLErAwDNcRLUUVUn
vwAAAABJRU5ErkJggg==
) |
115 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAdsAAAAWBAMAAAB6VSvZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.core_expr_types.tuples.range_from1_len_typical_eq |
116 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPAAAAAVBAMAAACK8n6QAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.numerals.decimals.reduce_2_repeats |
117 | instantiation | 254, 246, 122 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAQBAMAAACmdTG/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMpndq3ZmzYkiRO+7
EFRAb64nAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA1klEQVQY02NgwAB81b9rjE8ngJhCqDKsRwQY
CtjBTBNUGSYFBtaEPrAaNBmWCQx3eA+AWGIlUFMOG5uDaF4GBkUWARCrASLDVXoBpovRAWw16wSI
zHS4BAPPhbMgahoDRKYSYdMLtgCwYVCZAoQMxM1sEyAyjJuNjY1tIE550MXAcIFhKgNEBuJOMLjD
CWR7MixxcfntAeIbwGUcgT7i/QBibQHzQ+FuVlgE9C5Y4R+wAPsDuJtrGTjPgQzX+e8KtshnLURm
9fE9Z/bvaUAKL64eSOhAAQAW2jIOJ+L4CgAAAABJRU5ErkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAKlBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADmU0mKAAAADXRSTlMAMpndq3ZmzYkiRO+7EDr+BQAA
AAlwSFlzAAAOxAAADsQBlSsOGwAAAD1JREFUCNdjYGBgEGIAARMQwQomxUpAZAOIZJ0AIqcxgMgG
EMk2AUROZQCRS1xcbnuAlG4Bm3AHROjcdQUAhwAMRSL9jTgAAAAASUVORK5CYII=
) |
118 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAWAAAAAaBAMAAAB7gZtsAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAZkRUmRDNuyLviTJ2
3asqG0tJAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAEgElEQVRYw61YXYgTVxT+spnZTDKTGIpaLGqX
Qn/sQ81DESwUd0FXWLCdp4oIbrZi6T7400qxIEpAqT8tGgrFUh+6fWgtW9D4qKKJtKv0oRpkLQtl
15WViggi6trFtaTn3JlMZubeWRObCzPJ3nvOl++ee/7uAoHRWcD/HW2AeMZ4gZ5Yl/O9P7yotQzX
H7nS3R6+ccZ52/1jRXjV2NEq3orIlQPtIfwBPXre+X74z1/Cy4tlDf2VOeAUEDT2sZ/EKkoNo3mu
QvQTehJZd2azJJO2palLr84Fulk1ad5mmOtKhV+bJ9xBWzaK9OUQPft7dwPTkow1KfkQCw3/pogt
NYTJPBMMc0XpkkNNsj1Pe75IUcXyfcJZT3V1FOXzlwikqpQKcvoYFP6ugNjUO+0qod+OcMkmhn5r
O2l32pjH+eEBkCkgWbQmN0qSAyrCS4ATkmQEhOUR7swqmPQ06w9XiXCsG2X6MAkyOY3MjFb5UZJb
635eHh/Pe4T3Aqskc0VANAhrvpSTqKsXWyGMb/AHQxJaporMrNlTkuR+dz5eG/Fb+BFQzkkWVkM0
CFs+cqZLPp5vifAA/uZfcpTS9/3r54jkPySzXJjC2OJ3CZ0Jq843CBEm3OGPh5fcysQxlBq+2yTh
k9jFx+PstlwJ1iVz4C1CK5dCBVfLw3gSlnaHalIQFsY1Z8XEunEeN5zCx35tXMOGwj4n0QR1HdGJ
BuGF2MZKTuqaCGSbEjIA7eSoqNqdjZVDWYewKh1NIIKw8ZBfDwIlUfhUmt7JChLdI/rwPVtVpwIW
XolRVhKb9UJCf8ynBCwQ5b9fED7DOxUCRz4kCSK8XGHMBsRWYZqSRxibqKDoAcL6ICMn6fU+H9uQ
Bq1qjebmJlz2WXipt8SbsIAKdCJ1VPzq+ka0rLVF0K1SQC9FlIXxExEzZv3zX/wMl/Axss939rwu
Wq8+w8LLGoSp4hwMtGkdJWgkUxbem/YlJJImz3/ZVhWtgxGERXk0Z3yOOf4xXJfQnxLhh4jZxqzb
1MRgDmaVPvwubnOW4JM8C4z4CWc16By7TpawKoHCsQjolamFIAJZohjOEq+72yfgp+56qhrvFjzf
wJEv80oLvyjSLIewMbp6deA8Prp0eh072aJwT8OE0zn9uOfu4gUFhCs/U09rMV8eNlxCqUlRm+bf
L3G3YPQUoA+RMw5BiulTBdFEsAF55+larRbYVOzGv0LnPbcl+NT2Edb7rpQ8d3deCginnNx5fLNe
6XyNVMKtLyYtpH5YbPdVYHzmzHyLipFDOKbvfb+NrH9NOD2+RnSRr/cSb+7xleaWh9RLeF3wX41m
z4uASQtxZbowql63Jo/jc3Rrz0dY2a3N98jsPremnm0umEpKFFkw2a/OqHpup8rGpH7YKj4HYS0f
lfUS9RqarNXqhT2+/VhX5C1riv1MYX/LMWRaatRF0Wp1bGBvGFM2uqpbY1TB+zx0pwvwKkWp7p9q
me/hqeg73VeKuZ1qGKtQv6K8E3nt24G2jRZuzdeb/b+E7Ht2+wivaQfIf3pEUDGIl6QHAAAAAElF
TkSuQmCC
) |
| proveit.physics.quantum.QPE._alpha_ideal_case |
119 | instantiation | 123, 124, 125, 140, 126 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMsAAAAaBAMAAADrt7WKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACwAAAAYBAMAAABzQQKJAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA0klEQVQoz2NgAANDBmyA6wNWYT4DbKKM2WYB
2MSZH2CoVDIJYOBfgC4swsD2naESQ38jA8NMhhNc6GbPX8DQL6DDhm5KNwNDf0DQVSzu2I/MYQ1g
YLf3AjH+IAszMTAEX28DMrgbkIWfMjA0MLAAGSowkfWgIEhg4F0A0sILV8ytACQOMPAwMKxhYHjG
wCiAZIgCQykDgxYDawIDD7KjdYESKwIYpJWUtFFCzcb00nago////4zii9v/t2ELZKYLWGOKE2uM
MMRjFWU4jV1YFEQAAExfJ2aolEi3AAAAAElFTkSuQmCC
) |
120 | instantiation | 131, 127, 128 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOMAAAAaBAMAAAC3PfauAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHIAAAAaBAMAAACZVBV5AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
121 | instantiation | 254, 249, 129 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADQAAAASBAMAAADmo+DzAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABAElEQVQY02NgwAKSXFwMQbSQsiuaDMerC4zn
FBgY2AwY6gtQpbS1GRiCQ4BKvjPkT0CR4VUA8lm4GxhYlzLwQ6Q4fM6cBNEsaQ8YGJgugAXrN4BI
1hkJEF0pvA0MDOwFtiCx02ARSagMwyVWoFLWDduBRve9BYtMhNkVwQ10Fm9DNdhAsAvhbhFiB+tq
BbG5voHctebMmTNHwM6A2GXGwHuBgeU7UIDNAaaLJRHqQv5vECmGAzApVoi/Chi4HkAMZOiA+9ka
GBpxwNDg3gD1Fyc8uJhAYWgAZAQbQ4KX7UkYTE7453xblLBjVYEEFBC8BYYgDsDX0FcbgEOuznPJ
BgA9YEHBOeDJFQAAAABJRU5ErkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAATElEQVQI12NgEFJ2ZWBgM2CoL2Dg+M6QP4GB
dSkD/wQGIKjfACRYTwMJ3r63DGCRAhDJ9Y2B9wIDy3cG/m8gkusBSIR7A1h9sLErAwDNcRLUUVUn
vwAAAABJRU5ErkJggg==
) |
122 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAQBAMAAABJt1qBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMpndq3ZmzYkiRO+7
EFRAb64nAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA10lEQVQY02NgwACX/xy/wND9ewGILYQmd47L
gYH3A5hpgiblPKGNgWEDiMWKLuV3gH0CgwGIJVYCEWE9bGwOZnimchZApBogUlylF6C6PFkEIsBS
rBMgUtNhMgyeDAd4FoCkpjFApCoZEFJCvLYgqQaoVAGSFNuDN0AXsk2ASDFuNjY2toFKMfiyAKWm
MkCkeA8g6WK4wgs0cImLy28PkIABshRjAETlFjAZCpc6CMSBEKk/YJL9AUyqDoiZwK7S+e8Ktsxn
LURG/DdQB28BctBx9UADCgoA1ZQzj5cSOPwAAAAASUVORK5CYII=
) |
| proveit.numbers.numerals.decimals.nat4 |
123 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARQAAAAXBAMAAAA4va1QAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.number_sets.integers.in_interval |
124 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAQBAMAAACmdTG/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6sy
RO+L2jdBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA9klEQVQY02NgwABscf+iOtZNYGBgFDJBlWFa
fYAhgBXICGOocECRYTZgYJogxsDA2cDAuABFhtuBoYodKMS1gYHtO8SUFR2tIJqdgcGG+wADA78B
A883kABvUAFMF8+Gw0CyHijzE8R1hUswcBUsB5L+Agw8n0DcEIRNiZwKUJmPIG4AQgbsZoZ6AQZe
kB6eFx0dHV0QpyTIMjAUgFzABnIBO8LpVSxA9hYGrgUMnGBXN8Bl9gB9xP6BgfMBAzPYCiW4mw0u
A70LVNjGUHcAJMCaAHdzOAPLMqCBxUJ7wALsu65DZO4tfbXq/SsBpPDilYKEDhQAADDlN5QO5iEu
AAAAAElFTkSuQmCC
) |
| proveit.numbers.number_sets.integers.zero_is_int |
125 | instantiation | 130, 250, 166 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG0AAAAaBAMAAABP8c8cAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAAOBAMAAADH1sFNAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAEM3dMquZdoki72Yhfj4TAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAKElEQVQI12NggAEWQziTQTTpIILDwE4NjpAxCJiQZwDHSQSbNepQ
NAD2TAzQrU++BQAAAABJRU5ErkJggg==
) |
126 | instantiation | 131, 132, 133 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUQAAAAaBAMAAAA9NzjGAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKAAAAAaBAMAAADCsEoNAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
127 | instantiation | 190, 132, 147 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADgAAAARBAMAAAB6C3LTAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6sy
RO+L2jdBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA4UlEQVQY02NgYBQyYUAF7OsaYMwwhgoHuHgq
mMlqAOVyNjAwLoDJzTAHU/wJUD7XBga271C2hjiEvl8AFeA3YOD5BrFKQgEqJgEzqR4o+RMsZzEB
JhattA3C8Bdg4PkEktuaAHft14J6B7jkRxADIQl0Ax/EhnoBBl6QTgYWuLHMAQz8AjAHsaE5iEOA
4T7EGK4FDJxoXgF6076gcI/QBgbOByBjUAKB/wD7SwaVXQxA4TaGugOI4AMxuSdwGTBc6AHxi4X2
oAf8Rksg8YEBN2BbgEeSWQDZrA4wgFvPDWQBAOAmM+lTOvd9AAAAAElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARBAMAAAAidOHKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAbElEQVQI12NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQYGAHjIFdRVzx08AAAAAElFTkSuQmCC
) |
128 | instantiation | 190, 133, 147 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHIAAAAaBAMAAACZVBV5AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARBAMAAAAidOHKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAbElEQVQI12NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQYGAHjIFdRVzx08AAAAAElFTkSuQmCC
) |
129 | instantiation | 254, 246, 134 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAQBAMAAACmdTG/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6klEQVQY02NgwADss35NOeO1gYFBSNkVVYbD
7wLDBE4GBjYDhvoCFBlmAwaODepAFd8Z8iegyPAJMKSwOTAwsC5l4IfIcPicOQmi2RgYbPkugIXq
N4BI1hkJMF28Dy6DadbTYEoSLsHAkuAGVtD3FsydiLCpiLsBwoC4DckZIDeDAdc3kNY1Z86cOQJx
SoEqA0MCA+8FBpbvIBc5wLWkMALZDxn4v0FkGA7AZd4CfcT2gYHrAcQ0hg64mw2Cgd49wMC9Aeof
zgK4m6cxMLoDDQw2hoQo25MwiEyU5xKX9UsUkMKLVQUSOlAAAKJNN0u9eQ+gAAAAAElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAATElEQVQI12NgEFJ2ZWBgM2CoL2Dg+M6QP4GB
dSkD/wQGIKjfACRYTwMJ3r63DGCRAhDJ9Y2B9wIDy3cG/m8gkusBSIR7A1h9sLErAwDNcRLUUVUn
vwAAAABJRU5ErkJggg==
) |
130 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALQAAAAWBAMAAACbN6vkAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.addition.add_int_closure_bin |
131 | theorem | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAK0AAAAXBAMAAACL0NJjAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.logic.booleans.conjunction.and_if_both |
132 | instantiation | 135, 245, 158, 213, 136, 137, 138* | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGUAAAAaBAMAAABcJo/oAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAOBAMAAADpk+DfAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMkTNuxCZZquJVHbd
7yKDlRhzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAV0lEQVQI12NgFGBgsndlYGNgEC7qZFjIwNDA
wMIwgYE9ACi0gYGbgSGaIYFBkYEhlSEdyIgQYGC2Niw7xMDAUPP/JJBkYCsAkQy8AmBKHkwy7IFQ
D0EEALcGDSMwA/OWAAAAAElFTkSuQmCC
) |
133 | instantiation | 139, 140, 250, 166, 141, 142 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKAAAAAaBAMAAADCsEoNAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAAOBAMAAADH1sFNAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAEM3dMquZdoki72Yhfj4TAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAKElEQVQI12NggAEWQziTQTTpIILDwE4NjpAxCJiQZwDHSQSbNepQ
NAD2TAzQrU++BQAAAABJRU5ErkJggg==
) |
134 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAQBAMAAABJt1qBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIomZu0QQVHbN72bd
Mqv0UZE7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA7ElEQVQY02NgwAA5XzwTGLR+BTAwCCm7osm5
sz5gYPvAwMBmwFBfgCr1RkCbgWEBAwPHd4b8CahSzx04BRgOMDCwLmXgh0hx+Jw5CWY83ME4ASQF
BPUbQCTrjASorod8F5ogUqynwQKSMBmGhwwOLAEgKd6+t2CBiQwIqctsx6AGgl04AUmKu6BkAZjJ
9Q2kec2ZM2eOQKUYnvEBpXgvMLB8B/LZHJB0MeSxAQ3k/waRgroWKsXbAFTJ9QBiIEMHXMoXiHuB
UtwboP7ihAfXdCBmBrkq2BgSvGxPwiAyN38BdbChBB6rCjSgoAAA9idClfoHlG4AAAAASUVORK5C
YII=
) |
| proveit.numbers.numerals.decimals.nat3 |
135 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATwAAAAXBAMAAABkN+50AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAq1RmmUTNIjK7EInv
3XZ/CtNrAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAEJ0lEQVRIx8VWXWgcVRg9s7OTnZ3dbFYUoS2E
hRZEaGQpRWkf4kqq8YfUSFWolbpUoa1CmYAv0Rq2Tz4YTGyJIT7EqQSFpo1ji5X2ISxCSW2xBGyx
EFImNlI0JQRLG8mDeO93787enR+osNIPztyZO2fmHr6/e4H/xVISIbNjyPf9g6bYbxIh2xtDDprh
CeT5w8Ymq0u4AmHLFSPJYbsp8Cy/399keV9LRNi7iq79PjlsLQ7hCA/ycJPldUlE2Fb/Tr/q+OSw
6SUCV5kpNFleVSLCsk4tzHNOnRxhlwg6S4aWZqdeWSAyaDL5Jm8o5Ch7W+Dn+fnLTZaXdAXQNz3g
T1rL6z85zSJFtYiJX1RyA3GqCxYjfQfC88AX97Hif5HHPcRhzOBLp/6HBa+H5RM56/i+BnID0d0M
fQV4EoQ+pPKxUZp751GP7tKN86PqkzlCQ2a61iFaCwIni+jxWU/haedh9imlmlaXFySahR5orFY3
g5B2Mr2R2j5dNwLPzXwYlpcYb2ROHuXXTuyupX+vwMvAHH/+lnusgudo9RWivO8HVyFa9/gFV5Bl
PhkCIeFFV0aSRR2ep0+F5OnHQs2Wz1xEm90o7ydYd8lBJZq+QttBNVAaKvEqMdYwVAHehEC5k7M7
f+CvlrsX2RLGAjRq20xebkKRl1sc6EaOfLU3TxuOdWaJa9LHkVpDttAQXOsfSiJ/n1rFCeaN2UBj
CRGTZdxmQ4fEadbIrV/NVf6Jva6F/XqqzRm0qFV7bv9NRd4tbXif+SPVobdmcj+csofIZfqMuYZW
2TTSHsH6C1r5sVrhjmhVsOTUhwNtOUhEOo/P2LBN4jDzQrJEi+kYN9nwQQf+MGgp74VzUOQV014F
j5/nG81Xszm+0A4M0uLnepm8rCgjah4c4+golWr5+vdE1SjIPiKnDtTIKhHJvHGHDS9JaBWeADlR
vqt03YB2/eDY2FEW3O8Lau5Rdu3m+jRX42IuYIGLfabCg9smg2vOChxf+ri9UvPeTm/TFh7LYB0G
ibA2LHIV1ySotuz0du5qs0qHrGu4aLoi9147r8obpAPbkW6+TJb90FrFsRNIPVRpKA1cl4iwj0Iz
YWKGVXpqVkCUjz20y5nE4Uw5iUn2hbEiejVrLEpppKpnQTHoW4/WyluwXMyYd7dbj5CsZbyi7vtb
408LcYcEYWdxkidBUUBUVdcTZzBYSP4+/ScbsGlbGf3MI8ah96wd5br3du5ZduShN9H1OViVvLpl
qWg5si2/6Ge3LRBxChaVcWqe23WfrNoNlltAv4RiMnUKlp0usmwfG6m/SgfX+Qas1yVidhte9lbk
KS1CdJC4cZGn56iE0pgcOWje66HfBifaDebVN+J2wwGJkN2KIYcavS2g7ga1weh04+WZY8xGsWuJ
Nxp15kFa6sEs+y83kipPW0LzXwAAAABJRU5ErkJggg==
) |
| proveit.numbers.multiplication.weak_bound_via_right_factor_bound |
136 | instantiation | 143, 158, 222, 159 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAATBAMAAADPIygvAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6sy
RO+L2jdBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA20lEQVQoz2NgYBQyYcABwhgqHOCcVAckGc4G
BsYFMM4Mc2RNXBsY2L5D2RriKObxGzDwfAOz2CUUUK2qB0r9BMtYTICJnWFguPqrgMFfgIHnE0hm
awJcOVB15G0BsNRHEB8hxXaAgZuBYQFDvQADL0gXAwvcQEYGhukgrUBnsKE5g4mBQYGBXYGBawED
J5rjmRl4DzAwFzBwPmBgDkD1MvMEZgb2PUBGG0PdAURAgZmhqictLgDpYqE96MHK2f9DAFeQWzLg
BG9QeOwdYAC2i+cDTk1MDTilWMB6AXI0L7sU3tIoAAAAAElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAOBAMAAADpk+DfAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMkTNuxCZZquJVHbd
7yKDlRhzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAV0lEQVQI12NgFGBgsndlYGNgEC7qZFjIwNDA
wMIwgYE9ACi0gYGbgSGaIYFBkYEhlSEdyIgQYGC2Niw7xMDAUPP/JJBkYCsAkQy8AmBKHkwy7IFQ
D0EEALcGDSMwA/OWAAAAAElFTkSuQmCC
) |
137 | instantiation | 144, 150 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADYAAAAWBAMAAAB5x3LYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6sy
RO+L2jdBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA9UlEQVQoz2NgwAVYHXBKMdTjlmJIxS3l2CqD
WzIMiBmFTNCFnU3XMDB8B8tXIFyUCmKyLGCQv8D7gIGBs4GBcQFMaoY5iOR2YOB7wLShhoFrAwPb
d6iUhjiY4vvOwP2FWUGcgd+AgecbWIhdQgGihLuBgfsPj+UBhnqg3E+wlMUEhGs4PoBIfwEGnk8g
qa0JSC49rwCT+whioMh1Q4JNgIEXpI+BBclMZojLgW5hQ3MLA8NsCMW1gIETzQ8MbAIMLiCa8wED
cwCq3xkOMjCogxltDHUHEGEGYrI0Gxs3gLnFQnvQgprj////AQxUAOwdYHAASQgAdfo2rHkdKMQA
AAAASUVORK5CYII=
) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
138 | instantiation | 145, 238 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGAAAAAaBAMAAAC6D0SsAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAZkRUmRDNuyLviTJ2
3asqG0tJAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABrUlEQVQ4y42Uv0sCYRjHv3p3eXp6SltD5n+g
U6sGJtF0QwQRoeAe19QQhENgtHR7yy0RlJBziw41NCRCFi6FENTQUtmFaGCvrz+63vOtvsO9zz3f
53PH89z7HjDURA7/1GR/STPpBK9eGDizTD7PA5b7y97tyc+8q8wBNgZrljVuxtfLBrCT2gIsW/L4
nEyg4qj1FRYA0YSs4zTiNr6NiZhUJ1PQWCCLtRyCEag5eA1/Y3VkTANHBAsx9a4qfDpKGrwW1JZY
Phw520Bcg6gzgKcBwcIVoFahdpS54sh5B0ox+A0GCCagNPFI48CLzZB6QAhuiwHSBHjFJo1L9qHL
bZpQOr0b8Y6qQcJ9E8on1mnNPViADO+NeUMPaKNGHzPsT/roXQgQLUNigbQJ9+AN4VGyNmg6HoPc
cTYtNCkgmNi1O6SvGQ1Ki+nBo8Nl4YlEZ8CFHZgCUnBOyWVAzOCSNFlLJqt2JxCTDqjP6BorRUQ1
BLrdbsZuSIsV8hXFBgssFZ4Bb4R3UBx7qS+yWzly7lYqxeABYU7+gQfUfz/TDnHPtMBpIv/Xf4nV
/Pj0F2Jic1EZbwylAAAAAElFTkSuQmCC
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
139 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASkAAAAXBAMAAAClsKTYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.ordering.less_add_right_weak_int |
140 | instantiation | 146, 248, 147 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGYAAAAaBAMAAAC3ETTrAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARBAMAAAAidOHKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAbElEQVQI12NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQYGAHjIFdRVzx08AAAAAElFTkSuQmCC
) |
141 | instantiation | 148, 245, 213, 222, 149, 150, 221* | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGoAAAAaBAMAAACtLdRlAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
142 | instantiation | 151, 152, 153 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG0AAAAVBAMAAAC+p33JAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAAOBAMAAADH1sFNAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAEM3dMquZdoki72Yhfj4TAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAKElEQVQI12NggAEWQziTQTTpIILDwE4NjpAxCJiQZwDHSQSbNepQ
NAD2TAzQrU++BQAAAABJRU5ErkJggg==
) |
143 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAN4AAAAZBAMAAACspI2IAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.number_sets.real_numbers.interval_co_lower_bound |
144 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKEAAAAXBAMAAACR7DLtAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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==
) |
| proveit.numbers.ordering.relax_less |
145 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ8AAAAVBAMAAACqHiFtAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.multiplication.mult_zero_right |
146 | theorem | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMIAAAAXBAMAAACrPI2eAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.logic.equality.sub_left_side_into |
147 | instantiation | 154, 245, 213, 224, 155, 156* | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGwAAAAaBAMAAACgM6QiAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAArBAMAAACHlcUBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA10lEQVQY02NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQbKwH8YIEo16wEYSx5EHEvVZWAoBTJ4FBjmN5x0nQt00AEG
ZgOGcKAY80cGrj8MH0GOdGDg+sthANHI8oF7gSyYdX8D24aJYJYXA28e2CNscC++gvt6AsMZCOsm
A8NGMIPHLS0NEjcsQIcHgBgASgc5DetzxUAAAAAASUVORK5CYII=
) |
148 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATwAAAAXBAMAAABkN+50AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.multiplication.strong_bound_via_right_factor_bound |
149 | instantiation | 157, 158, 222, 159 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADEAAAATBAMAAADL1vgSAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMkTNuxCZZquJVHbd
7yKDlRhzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAoUlEQVQY02NgwApkArCLs7bZ45BhYNiPKbP4
AQ6ZmlSEHkYBBiZ7V6jEnqlIprExMAgXdUIsnrMB2Z6FDAwNDCwgHl9OAYoLJjCwB4A0MjA0L0B1
2wYGbgaGaGwyCQyKDAyp2ExLB8pFCGBzAbO1YdkhWKjs2QplzQd5uOb/SSSfQjzUcd8CaDJbAXIg
FD9AsHkFcAWrPC4Jhj04ZR7iEAcAHwMrGN0Ok+0AAAAASUVORK5CYII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAOBAMAAADpk+DfAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMkTNuxCZZquJVHbd
7yKDlRhzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAV0lEQVQI12NgFGBgsndlYGNgEC7qZFjIwNDA
wMIwgYE9ACi0gYGbgSGaIYFBkYEhlSEdyIgQYGC2Niw7xMDAUPP/JJBkYCsAkQy8AmBKHkwy7IFQ
D0EEALcGDSMwA/OWAAAAAElFTkSuQmCC
) |
150 | instantiation | 160, 256 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADYAAAAVBAMAAAD/UwB2AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA8ElEQVQoz2NgAANDBpyA6wNuOT4DnFKM2WYB
OCWZH2DXo2QSwMC/AF2YLUeRgUGEge07QyWGFjuG1QIMjQwMMxlOcKHZx7uBgc2BYf4Chn4BHTaQ
oVy2cDmWBga+XwzdDAz9AUFXwSLL9sDk+BUYWP+BGPvhynm2QR21Hij3F0iz/kGyZxNEUj4BIszd
gBxCRgIwuW9AWgXFhewWIJ3rExjYgfp4G1DlTBZA3MIHdMszBkYBJDMtwBwWBwbeXwysCQw8C5Dc
AlHHO4GByYBBWklJG9MPDPsYVgYw7P///zNMag3c7wyLclpRY38vA9EAAGTQNM1X0HZNAAAAAElF
TkSuQmCC
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
151 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALYAAAAXBAMAAABUnqh8AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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==
) |
| proveit.numbers.ordering.relax_equal_to_less_eq |
152 | instantiation | 254, 233, 161 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFEAAAAVBAMAAADMaB9/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAInZUiRDNmWbv3US7
qzJazP2FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABMUlEQVQoz2NgYBBgQAaMDDgBkwEKl1sBTb5t
zvmsOQ0glgmS6KsABgYNdKMOyDLs7QFKsCbAhViv5wMF2ALQVYow8PBdYGBgb0AS1Aeq4ijAVMku
ADSPkwFNJcNUKEdn1aoEuMoDDAxmGCozIOxtqggzeUOBtpdgqPSFhFYqku1vzATgJiCpbAMz2eDB
fEAy6xfI/MUYKi0hKpF81BEGomcDQydrFQg8gKp8D5Z/CRI6AFHJE9EAUYlm5k4wMwbJTL6Co1ht
twIzuZDDs04GSB/CUNkDSQ4KSCpjmBpgYQIF/iAPQ8MtGa5SnIGj4TQwUSApvDs/F6h3NYQTezoA
lpYOMpzJN2DgeoAWzYwLoIwtp1YlIEtgJAiUJIMCDqLxZXCm+RgCOpHchZodmARwqAMABllOBroE
ZRcAAAAASUVORK5CYII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAAOBAMAAADH1sFNAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAEM3dMquZdoki72Yhfj4TAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAKElEQVQI12NggAEWQziTQTTpIILDwE4NjpAxCJiQZwDHSQSbNepQ
NAD2TAzQrU++BQAAAABJRU5ErkJggg==
) |
153 | instantiation | 214 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG0AAAAVBAMAAAC+p33JAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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=
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAAOBAMAAADH1sFNAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAEM3dMquZdoki72Yhfj4TAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAKElEQVQI12NggAEWQziTQTTpIILDwE4NjpAxCJiQZwDHSQSbNepQ
NAD2TAzQrU++BQAAAABJRU5ErkJggg==
) |
154 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARkAAAAXBAMAAADNQybgAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.multiplication.left_mult_eq_real |
155 | instantiation | 162, 163 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD0AAAArBAMAAAA5w51cAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMkTNuxCZZquJVHbd
7yKDlRhzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABOElEQVQ4y2NgwApC7jDgB2YE5H/hl2b6il+e
8wB+eebuHQvwycebsv7DJ78+gOE2PvlkBoaf+ORPMjD9wu99tq+sMyR34JL/yBBbwP3CgRmXfDuD
GwMTjwBO8yOmFQA9SSAOlhCQzyQg38hABcAowMBk74pbno2BQbioE8Q4AwYNaPILGRgaGFhw65/A
wB4AMgQX2MDAzcAQjSb4HwYYGBIYFBkYUnHbnw5UESGAJyVaG5YdwhcANf9P4tL6ABwABTgTMZjk
xWb5s2RHBobFYKY8Fmk+B4b5Ci8PTwSx92CR53jAwHuBwQrMfohFnvcrA8c/Btx5lOMAA8dHpgv4
vM3zgbshEI+8/Aa2DVPxyJ9gYEzHE+xsDviTXQV+aa4JDO/wyUsyMGzFI813LC0NXwnFA0xaBmAW
AI1GVAIhq8pKAAAAAElFTkSuQmCC
) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAOBAMAAADpk+DfAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMkTNuxCZZquJVHbd
7yKDlRhzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAV0lEQVQI12NgFGBgsndlYGNgEC7qZFjIwNDA
wMIwgYE9ACi0gYGbgSGaIYFBkYEhlSEdyIgQYGC2Niw7xMDAUPP/JJBkYCsAkQy8AmBKHkwy7IFQ
D0EEALcGDSMwA/OWAAAAAElFTkSuQmCC
) |
156 | instantiation | 190, 164, 165 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIAAAAAyBAMAAABmEs6GAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARBAMAAAAidOHKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAbElEQVQI12NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQYGAHjIFdRVzx08AAAAAElFTkSuQmCC
) |
157 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANwAAAAZBAMAAACoUV21AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.number_sets.real_numbers.interval_co_upper_bound |
158 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAQBAMAAABJt1qBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6sy
RO+L2jdBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6ElEQVQY02NgwABTX62PeDUBxGIUMkGTW+DN
cHtWAZARxlDhgCblyMDFs4GBgbOBgXEBhhSzQwADA9cGBrbvYBGmFR2tCCmgcn4DBp5vIAHeoAKE
Lu5yoIH1QKmfIAHXAiQDT6UC7fcXYOD5BBIIQdjlF/FDnQEi9REkEIDkjJmlILpegIEXpIvnRUdH
RxdUiqsS5GWgM9hAzmBfgKSLx2A5kOZawMAJdnwDsr9svIA05wMGZrA1SshSVUwgE9sY6g6ABFgT
4FLODJwT1gIZxUJ7wALsu67DQ34Jw6r4BKSg45WCBhQUAAA+Fj/eKd5rbgAAAABJRU5ErkJggg==
) |
| proveit.numbers.number_sets.real_numbers.zero_is_real |
159 | axiom | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFAAAAAVBAMAAAAjqnRBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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=
) |
| proveit.physics.quantum.QPE._phase_in_interval |
160 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIMAAAAVBAMAAACXjEALAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos |
161 | instantiation | 254, 249, 166 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFIAAAAVBAMAAAAnX6R8AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAInZUiRDNmWbv3US7
qzJazP2FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABWklEQVQoz2NgYBBgQAaMDDgBkwEKl1sBQ0XI
mTOFINoESexVAAODBoZRNx8wrnVgYGBNgAuxXs8HqmQLQFPp4cHAsH0PAwN7A5KgPlAVRwGqQj4H
oFk8HAoMnAxoKhmmQi09tWoZiOYJvcDAwPIggcEMQ2UGxGdJUFfE8AH9yGxQx1CCodIXzBSDOfcJ
N9B93A3NUBOQVbaBmYkwsU0cwGDkU7BgWIyh0hLMhAeJCDPYTG2G2cDQyVoFAg+gKt+DfTwLKLIG
7COIO0tBKtHM3AkO2wMwMZ5AqN8xbbcCMxfAoxcSngYMhzBU9oCZSnDBCmAc7d0DCxMo8AelK0i4
scETDgso3oER9wpJ4d35uUB/roYkgjtbYcLi3/LrgBTXA7QEwQh1IbcPJDaB4B4HKCmiJwjUJAMB
vAq6dhsYGA6iCctgSe22x+YA9cegiR7EmTsYUbMDkwAOdQC0Ik5U6faHbQAAAABJRU5ErkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAAOBAMAAADH1sFNAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAEM3dMquZdoki72Yhfj4TAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAKElEQVQI12NggAEWQziTQTTpIILDwE4NjpAxCJiQZwDHSQSbNepQ
NAD2TAzQrU++BQAAAABJRU5ErkJggg==
) |
162 | theorem | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKEAAAAXBAMAAACR7DLtAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAq1RmmUTNIjK7EInv
3XZ/CtNrAAAACXBIWXMAAA7EAAAOxAGVKw4bAAACFElEQVQ4y51VTUjcUBD+stm3v1YDnqxQApVe
2sJSCuJFBbG1lBVPPZZAD0JP22uxYM+1WA8iepAcvPiDbD30WPYiFEqlFQQvWyJsKS1FBA8rnvq9
5ya7iUkgO/AyL/NlvsybmUyA5FLpCoqRXjMae85lyM3tJIx3495WAiblZjYBYcGKQ18Cb6myHxIw
pktx6EMgYwNFMwFjTzxqQ+crM0nSeCcWzZDuW73+NQnjU67dCRSMQHpPb77b43FpngLWrrmNRzO+
4Kreg35GXa5L+aHSixOnDOis2ytkjWtuMaU6BHJmGVrgkWGM2f1Aqgbk7eJMEsZ9nhAH6HH85nk8
kirH0FNOSGHiGSEusTgfBA7kRTBGWKO8nD5u8JsUJ9A6GK+M6kEXUKdG2sI/+PMI0cQW4/vO7R77
vLcykGFT7vbZC21GZXyySil5ALDOlTewFCj1slZDlZWRnnMsjI71HLev7+NPm7FlRCcAfJQxGuLc
z5i62KgJxpQmKzSVkaYCBnGrM49Nz8MFgPcyosFGMxDjtDP0gPqGV+VcLSvVEb50MErj1ak9gD4q
gGLEvHjjbuaKVhrbwLE4azMqY0tcgLlg93/CTsQomPAGyq/Pf7FgYmjEajMqY0tcgLIC/GQWQiU4
xcxCJV8K7UcPoGxyQjdmwhnz/t+CsDXnWXiHe4CMw4lu/9/+Wx1itBrO6AFdS6V71//TzoWc8iuM
ngAAAABJRU5ErkJggg==
) |
| proveit.logic.equality.equals_reversal |
163 | instantiation | 167, 234, 178, 168, 179, 169*, 170* | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD0AAAArBAMAAAA5w51cAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABQElEQVQ4y2NgVHZgwAtYE/DL8xfgl+8XwC8/
Bb80Q9Tu5fikGb8KyB/AI8/+kYF5Ax55tgAG/gl45FkmMPQX4Pd+voDk2tkLcMlfYLRj2LOIIQCH
PNcDpgSGBl/c/luZByQ+4A8jdgX88mwT8MtzXWCgO7jLwND6CS1tsLmAATgsExh447pwu5v9AgMX
AwNuf3MyMDwEGfIfBtDkuRkYNjAwbsBpPxsDxwUGNtxpl+0BGwPjWjz+C916L6UBnokwkyif/xeE
7+SxGJAHoY6l6jIwlGKRtwWTPAoM8xtOus7FkOaFpBmuAwzMBgzhmNq5Ifme+SMD1x+Gj5jyPJA0
weXAwPWXwwBfTLJ84F4gi0f+/ga2DRPxyHsx8ObhSYBsBBL3KwJ5YwLDGXzyNxkYNuKR5nFLS8NX
QrIAk1YAbmkAmG5PkzagH5wAAAAASUVORK5CYII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADsAAAArBAMAAAA03e0bAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMkTNuxCZZquJVHbd
7yKDlRhzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABOElEQVQ4y2NgwAZC7jDgBWb4pX/hlWX6ilea
8wBeaebuHQvwSMebsv7DI70+gOE2HulkBoafeKRPMjD9wutttq+sMyR34JD+yBBbwP3CgRmHdDuD
GwMTjwAuwyOmFQB9hz/cl+CXzsQv3chAMWAUYGCyd8UpzcbAIFzUiVN6IQNDAwMLTukJDOwBICMY
gs+AwEE06Q0M3AwM0ahi/2GAgSGBQZGBIRWn4elABRECuFOdtWHZITwer/l/EofGB2CPF+BKrmCS
F4vFz5IdGRgWg5nymLJ8DgzzFV4enghi78GU5njAwHuBwQrMfogpzfuVgeMfA85syHGAgeMj0wU8
3uX5wN0QiFtafgPbhqm4pU8wMKbjDmo2B7xJrAKvLNcEhnd4pCUZGLbiluU7lpaGp/DhAaYjAzAL
AGq4Tnb4/FeRAAAAAElFTkSuQmCC
) |
164 | instantiation | 190, 171, 172 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAL0AAAAyBAMAAAD7H8cOAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADQAAAArBAMAAADF1raWAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABUklEQVQ4y2NgQAdcnhsYcAFmBZxS/A9wStUv
wCmVjVOGweJMHw4Zrs8L1gtgl+L7xcB5ALsUkwEDfwJ2Ke4Ehnpk5xuieEt/wbLWnAao1R+QpAK4
5jIcbGEwgFptgJDiuMCiwFCwFcpjzDYLQDi+TRdqDKOSSQADM3qw8TkACREGtu8M/OjBxgRyfiMD
w0yGSnQfcIAsmL+AoV/gBFcAFh92MzD0B+iw4YiI/QxBV7HLsP7BGT/cDTilVGCM9QZoMrxwTdzg
pPQfBhgYnjEw4ohU1gQGHhwul1ZS0sbhiP3//3/GloQFcDp7PVZRIWVXBobH2GQYHRjyC8Q2p2KR
4hBg4JzAYIdNF+cvBo6PDL+wSXFsYOD4yj4BV4B/4GlYil0q/gDTgSzsUjsYWHUDsGcIB5whcQOn
DF8CgyAOqTAGhlPYZRg3KSnhKFS4gXEPTiQAlldPu3xldykAAAAASUVORK5CYII=
) |
165 | instantiation | 173, 174, 175, 176 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHwAAAAyBAMAAABsYqKRAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARBAMAAAAidOHKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAbElEQVQI12NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQYGAHjIFdRVzx08AAAAAElFTkSuQmCC
) |
166 | instantiation | 177, 239 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFAAAAAVBAMAAAAjqnRBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAInZUiRDNmWbv3US7
qzJazP2FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABQElEQVQoz2NgYBBgQAaMDLgAkwEKl1sBTZ45
82fOqpMNDAwmSIKvAhgYNNANOvuAIYGNgYE1AS7Eej0fqJAtAFUhewEDU4MzkG5AEtQHKuIoQFXI
K8AQw3qAgYGTAU0hw1SoladWLQPbw8BQx/uAgcEMQ2EGxFNJcCfwXXgOJEswFPqCmWIIp/IEHIXr
R1bYBmYmIkRNOEBBthhDoSWYiQgMcOAwMMwGOjdrFQg8gCp8D3bXLKDIGmiMeDMwBIAUopm4E+zX
A3DBGEYg+yIWq63AzAVwwXvAkGT9wHAIQ2EPmKkED5yC7cBQXwANDCjwF4AHGJsBPHBSGRgPH2B4
haTu7vxcYISuhkT8na0QwZ3H5pyZP8eBgesBWmphhLqO2wcShTCAngZQUwkyOIjGl8GVwmMIaES4
CTXtMwlgVwYApShIgR0izHEAAAAASUVORK5CYII=
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
167 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAS4AAAAXBAMAAABHbL+hAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.addition.right_add_eq_rational |
168 | instantiation | 190, 178, 179 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIEAAAAyBAMAAACJ0KW4AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADsAAAArBAMAAAA03e0bAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMkTNuxCZZquJVHbd
7yKDlRhzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABOElEQVQ4y2NgwAZC7jDgBWb4pX/hlWX6ilea
8wBeaebuHQvwSMebsv7DI70+gOE2HulkBoafeKRPMjD9wutttq+sMyR34JD+yBBbwP3CgRmHdDuD
GwMTjwAuwyOmFQB9hz/cl+CXzsQv3chAMWAUYGCyd8UpzcbAIFzUiVN6IQNDAwMLTukJDOwBICMY
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AGq4Tnb4/FeRAAAAAElFTkSuQmCC
) |
169 | instantiation | 180, 212 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIUAAAAyBAMAAACAOwXCAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAuzKrZonNIu/ddhCZ
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) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAArBAMAAACHlcUBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
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A8NGMIPHLS0NEjcsQIcHgBgASgc5DetzxUAAAAAASUVORK5CYII=
) |
170 | instantiation | 218, 181, 182 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAM8AAAAyBAMAAAAJo5KrAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAuzKrZonNIu/ddhCZ
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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAOBAMAAADpk+DfAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMkTNuxCZZquJVHbd
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D0EEALcGDSMwA/OWAAAAAElFTkSuQmCC
) |
171 | instantiation | 183, 207, 208, 184, 185 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPQAAAAzBAMAAABS7DjBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAuzKrZonNIu/ddhCZ
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De/ES6bkErcBvltPhVTqOTLYjVwxylpdQ0Xc7U5uQXAeepB2jwAv3WNJA3UUCi8F8wcqFz9yKea8
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PAAAAABJRU5ErkJggg==
) |
| : , : , : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
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OAAAAABJRU5ErkJggg==
) |
172 | instantiation | 218, 186, 187 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPcAAAAzBAMAAAC524PCAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAuzKrZonNIu/ddhCZ
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AAAASUVORK5CYII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADQAAAArBAMAAADF1raWAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
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) |
173 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPgAAAAXBAMAAADU7Z9vAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAq1RmmUTNIjK7EInv
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e+sImmsoHsvbKDjXSrZ4rIThrGv+HZRlVhC6cmmCcvoZS/v6jMbSNqsbrou2uDKyYB7TxcXNFho2
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qRbcqqsuPomc/SfVoVA81YL/L/PwX+YfyHjXccfvmqcAAAAASUVORK5CYII=
) |
| proveit.logic.equality.four_chain_transitivity |
174 | instantiation | 228, 188 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALUAAAAyBAMAAADoyIf6AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAuzKrZonNIu/ddhCZ
VERetuGgAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAC+klEQVRYw52YPWwSYRjHX7iDcnwU4lQ3RjtR
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7rn7/Xg/n3s5xtySKDNh+WSLr13RgG6JcZZ8K7xk3FVDRn3+uR6uYG5tnx/+FLo3Y+cIujeP334a
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7SJ36+Mdfrh6Ct2ZOgkRKOsAd+633Q+6swXdPdJVFLI2wL0Fh2W6/GQEO/yARChUKQN3vsmKQZv7
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3BWaTAiU5ZVqtCNpKDFg45eLsw6aJm2Qu2JQYtFvN1+0QjXJbX51P6aLs6vAvUZDBMqUhHmuwC81
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5kzldiEwl+htdLz51JW4S6xhq90Z/+n1/c28+Dkq5ajcLnSs4bZoQskr3S5U9Y/+zMvUS8LB6bz4
t9G8ZEzD7n4TQtU4dQSqoHJbAwj9Q5+E+1urTxpt7bEMl9Spxlj2NOY3yNXZGciecUhr7QxEayea
PePQiOchktGWgT7dLhQusTECLZ4fJKOFAyhXoWdRHAraS0ZlGUD57Jwpdi0uZDXVbpRzXqvcLhTs
BSTuKpBsqdwuZDpq9w6Q1GyF24WSF0r3yhnaQwzlbg/qKN26ex8KfVO6DbRny2/L3R40GavcRfS4
Xr2Uuz2I50exGw/bkdztQaajch9AC/7FGLQryGg8oP+fhEJ+BUhGCwIJPCOChSGD0nV5hp0I0v8j
DSi5J3e/E8SvtTWg91K18D93tqQBGdJO+aX9rgBCT2TvOB4LL6WHGpDs3cyX/3k340N/Ac8XQL9A
KbNsAAAAAElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
175 | instantiation | 228, 189 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ8AAAAyBAMAAACwtxTjAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARBAMAAAAidOHKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAbElEQVQI12NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQYGAHjIFdRVzx08AAAAAElFTkSuQmCC
) |
176 | instantiation | 237, 208 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGYAAAAVBAMAAABGR4Y+AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARBAMAAAAidOHKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAbElEQVQI12NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQYGAHjIFdRVzx08AAAAAElFTkSuQmCC
) |
177 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJYAAAAVBAMAAABWCwqnAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.negation.int_closure |
178 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADQAAAASBAMAAADmo+DzAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6sy
RO+L2jdBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABDUlEQVQY02NgwAIKV60yAdGMQiZoMkz7DrB0
CwAZYQwVDqhSkpIMDJdvMTBwNjAwLkCR4REIYGDg4lRg4NrAwPYdYs6KjlYQzVW+AWjNgQAGfgMG
nm8gEd6gAoiuKh4FBga2BBuGeqDUT5CIK1SG4SDvBKDCCdMY/AUYeD6BREJgdl3iTABaqJAJlvoI
EgmASTmygXXpMtQLMPCCdPG86Ojo6AI7A2KXOcgZbCBnsMN9wFUCdSHXAgZOsOMbYFK8EH8lMHA+
YGAGW6ME97MlMDRuA0ODoY2h7gBIgDUBJsUICkMDIKNYaA9YgH3XdZic89d4G5Sw45WCBBQQ7AGG
IA7AraCdcwGHXPbSVxMAr5g9NeS8CQ8AAAAASUVORK5CYII=
) |
| proveit.numbers.number_sets.rational_numbers.zero_is_rational |
179 | instantiation | 190, 191, 192 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH4AAAAyBAMAAABol3KsAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOBAMAAADkjZCYAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6sy
RO+L2jdBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAV0lEQVQI12NgYBQyYWBgCGOocGDgbGBgXMDA
tYGB7TsDvwEDzzeGeiD5k8FfgIHnE5j8yFAvwMD7CSTL9o2BawED53cGzgcMzAEMDG0MdQcYGIqF
9jAAAMPIEplEfAWeAAAAAElFTkSuQmCC
) |
180 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKkAAAAVBAMAAADP89MSAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.addition.elim_zero_left |
181 | instantiation | 193, 194, 195, 247, 196, 197, 200, 198, 212 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKEAAAA0BAMAAAAQ1EV1AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : , : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC0AAAAyBAMAAAA6tE/nAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
182 | instantiation | 199, 212, 200, 201 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALEAAAAyBAMAAADhIyeAAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAOBAMAAADpk+DfAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMkTNuxCZZquJVHbd
7yKDlRhzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAV0lEQVQI12NgFGBgsndlYGNgEC7qZFjIwNDA
wMIwgYE9ACi0gYGbgSGaIYFBkYEhlSEdyIgQYGC2Niw7xMDAUPP/JJBkYCsAkQy8AmBKHkwy7IFQ
D0EEALcGDSMwA/OWAAAAAElFTkSuQmCC
) |
183 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAbcAAAAzCAMAAAAjH7ajAAAAPFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAo1xBWAAAAE3RSTlMA
q1RmmUTNIjK7EInv3Xah18O1XjQ+CwAAAAlwSFlzAAAOxAAADsQBlSsOGwAABrtJREFUeNrtXOuS
tCgMlYuCoOzF93/XBbwjhIh012fX8mOqzziTpDkhkAA2TaWmfGv+b59ulTt6nGzj3/wCvYRx7f7q
VRUzbysKcO86uq/HW/tlvyMMxtWbHFUFMwsUXRWz9/JGNIxjfjyMNzqvG8LoQcfnZqJ0hoouit/L
G+tgHG3drTg+0fA3mjw1E6kzVBTi1/ImBgFiLBNAa6drWBzZMzPROkNFAX4tb6OBMZqJdNORqEgH
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qjNUdMYv5c0EAe+EWzen9JGQqKZO2R/5jk9K8NwXmgkJjT0OFZ3wS3kbSRqrwU3hPDY5+V4ZslPO
IiG+EqQ35kicWQmdoaITfidvcpJpzCdvjd4H2fbEf5qyCVUgIRy0pshMUGjscajohN/JGxkAPPT+
S27WjNuE7nulzecCoYRz68ciM2GhscehoiN+J28DSePZLdmUyt54Ns4BEnyXoVcmSLNSj0NFR/xK
3uTE0lh5dkjX0Ev3urA1zyMZ3pIS5seswMys0OvjUNERv5I3EzjiGffG1fN4c020XIW3R+RfaQnR
0Y4zMyM09hgIK6/krR8grIjRUhBz3T1RRHPMWElLuDXBYc1KPgYmOMvbTiJlz3mrJS27bgDwh5ue
ysx8rOiALW98GyedeM5bLWng/MNB/OnGprbEzOeKDtjyJtchIp75x8xbLWngfG9A/Pllkan4Z2Vf
1M1v3bIw1rQCb7WkAY0GGRid6Fd5Qw6k52YBgcXxxpaJqGtq8FZJGhg+JIg/3iZSYmYFRTv268lh
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tNfJvHuXJrsbi8qzO/B1jXOdJ8kE4Snf9nm+w//X8ZuidrGTZkXUNzhFO555owZYRxj/J5wvo04r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YVvyil5/7rXhA4wLaoTnuwN7qb6fjDGnvRIylpmZsSWviLz+nHkbpLRtKsXFH4UL7g5spfrrmQT8
cZ+zWRlb8oref6/jsgOS2BG5cXcmdXfgIoHduUfF8bZkFbH336NCryiXkgXCstTdgeVm077CGEmh
mRlbsorGH7i3CN8TPswp/utpRB6Qujvgy+KKiz32ld4TztiSU/QT94TRA05rNldmsnlA6u6AcRIO
ywdSbGbGloyiM37tezA6DeOPrYjUIzOLFQX4tbzJYB9cDl/Z9B7pMzOLFQX4ve95Mj2MP9Luv+ep
0Kyffc9TyXvVnkfJ7rmZRYouimvyxr783tCOwrh+bO5UBTMLFJ2x6+aK0eX33xvafeu9oYGiAM/v
Df0PIJlRflXkf9oAAAAASUVORK5CYII=
) |
| proveit.numbers.division.mult_frac_cancel_numer_left |
184 | instantiation | 254, 203, 202 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAE4AAAAVCAMAAADfPSgbAAAAOVBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACXHtMAAAAEnRSTlMAIpnN
uzKJRKvvEN12ZlTt5ckGDWqHAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABVElEQVQ4y6VUiXaEIAwM
IdzHtvz/xzbgtYjUrc17oiJOMsMEgP+Hn8xL8QRNmzbqqE9ZyhM0YeuYIoCh7kOWT+Bso+QUD+WN
ndBBavVnNNMoilIFdLmTLt+rrilIGYViEKQaL74SqAYXEgMjSmpVFX+HFq3jPzwWwm0mtdsC5yKI
qp8uvDvG3aFhXKhB2uD8qv5CtuRNSVdTg/9VO4VAKwGLC9mvb2pk961wDdfyE0bQHd1IgePYbuth
s4JfOdp9bTUKv9nQVhbFydN7cUbGk5bEOp9mjhVsY9zfwuBgIf3oV9UbP8eJKiXeNxxjmdSvmYgc
7Ni/YzchmC5rNhMD0FivC2vQu3b6gz5J9sL+Y4YqPN2j5ZpSnKUKF+15+A7M1JyNwNkUzUgXXbES
wdkuiIA1xmKuDoRIEgX4HHBWXCgtxmzekvEXJ4orAR+d2kZT12QfxA8CNgl0R4rPBQAAAABJRU5E
rkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
185 | instantiation | 254, 203, 204 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEcAAAAVCAMAAAAjKAPRAAAAOVBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACXHtMAAAAEnRSTlMAMt0Q
q5nNdoki72a7RFTt5ckWYec9AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABGElEQVQ4y62UgW6FIAxF
C6WtYHEb//+xA9QpTzbZXBObSOqJbe8F4EEg/EtMseZJpkcY70qeBSDqE47zJQeTU/J/x8TajU9l
SGEZHumkllm8yV+TlnjLzwymcuxcaoy9Hby4kEuRktJ+Uj/dOEEAHXG645CsXcC8c3Ab7dpXqn3J
HccQ6FbiaO3r/UNrX+c5XziiNgcfm0HYN4tbO+6rtux9fXvhRJYXroKnl5OjIuuQsMPxjFfBmVay
i3SX0XD4oqkMiXNzwjDAuRqAIDY/sMR7jgl2Cz3PZ8SKDQc7ntNjX8McsB0rHfqBOMoR6ep5Ewzx
D/dRa3vumFeUyQMulr6/RlxI7E57RacRO34PyZL/5dWijS8G4hNaywiBEkWfZAAAAABJRU5ErkJg
gg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
186 | instantiation | 228, 205 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAREAAAAzBAMAAABCqSE0AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
187 | instantiation | 228, 206 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANkAAAAyBAMAAAAjE2MEAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAArBAMAAACHlcUBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA10lEQVQY02NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQbKwH8YIEo16wEYSx5EHEvVZWAoBTJ4FBjmN5x0nQt00AEG
ZgOGcKAY80cGrj8MH0GOdGDg+sthANHI8oF7gSyYdX8D24aJYJYXA28e2CNscC++gvt6AsMZCOsm
A8NGMIPHLS0NEjcsQIcHgBgASgc5DetzxUAAAAAASUVORK5CYII=
) |
188 | instantiation | 230, 207 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAqBAMAAAADlBV0AAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAUUlEQVQ4y2NgYBAyYMAKmF1zcMgwMNSMyjD0TMAh4bImZQMD8YBR
GYeESdhhXHrYaSgTpAQCKkToOQMCB2hvD3bAcRKHBIvXMW+G0XRNt3QNALn8KH4kLsDYAAAAAElF
TkSuQmCC
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
189 | instantiation | 230, 208 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEEAAAArBAMAAADVtvhKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA+UlEQVQ4y2NgVHZgIABYEwip4C8gpKJfgJCK
KYQUMETtXo5fAeNXAfkDeFWwf2Rg3oBXBVsAA/8EvCpYJjD0FxAKjnwBybWzF+BWcYHRjmHPIoYA
nCq4HjAlMDT44vPtyjwg8YFQqLErYAgJmaB6GYt/w1AdcwFTxXdCFnN8JKSCk3DSW70LW1CnuICA
F4gpH8j4B78Z9QIM1vhVpDIw/ISw/sMAmgpPBo7v+N3xnYHtI+Osm7tw2/KXQfgB9ykFVtwq1jGo
MXCwXMDjUqlpD4BeJphTiqA0ryMuFZlQ81JxRtJaKM1NMBpHVZCqgpNAkmXgWvx1HR5pABhqRzP4
KqZJAAAAAElFTkSuQmCC
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARBAMAAAAidOHKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAbElEQVQI12NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQYGAHjIFdRVzx08AAAAAElFTkSuQmCC
) |
190 | theorem | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMEAAAAXBAMAAABACzadAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.logic.equality.sub_right_side_into |
191 | instantiation | 209, 248 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIsAAAAyBAMAAACe8jVxAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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==
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARBAMAAAAidOHKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAbElEQVQI12NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQYGAHjIFdRVzx08AAAAAElFTkSuQmCC
) |
192 | assumption | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD0AAAAUBAMAAADM7ygkAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnN77uJRKsQdlRm
Mt3eazepAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA60lEQVQoz2NgYBAyCWTABxLYO7FLpC0SAFE4
ZBmYN3A+BNErcMifY2BIBdHzN2CXj2Bg2D8BSLP+xC7/iYHhPlArd/dXrNKcIPkDDAyHGfonIET1
3oHACyCL8RtQfgED40eG/RcuB2DqB8snMHAEMNy/wJGAxXygfP0CBv4DDPcZWC5gd9/+DQzzLwBd
cH9VJ4b9DKEMDOcnMPBfYLBmWDdhEab+IwwMygwMbAu4GxhigGZgAL4NnL5AKmsZA4MvgwYWB6qt
gDnrA4M3j8423FH8kieAO5AXt/ylVQwMBngTCQOjAn55buyxDABMAUcdUsBACgAAAABJRU5ErkJg
gg==
) |
193 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA/8AAAAzBAMAAAAz7qU3AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.addition.disassociation |
194 | axiom | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAQBAMAAABJt1qBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAiXaZIs1UEN1mu6sy
RO+L2jdBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA9klEQVQY02NgwAAVv5YWMMj9u8DAwChkgia3
jHcDA/sHICOMocIBVWqHgyQDwwMGBs4GBsYFqFLbFrA6MDQwMHBtYGD7DhZhWtHRCmZsmcQSAJLi
N2Dg+QYS4A0qgOrawn1AESRVD5T6CRJwhckwbGFYwHUBKOUvwMDzCSQQwoCQOszeDpX6CBIIQJLi
TMgCurBegIEXpIvnRUdHRxdUimE79wOwM9hAzmBfgKSLoZod5PgFDJxgxzcgS/EoAFVyPmBgBluj
BJdaA8Q6IEPaGOoOgARYE2BSYUAMVl4stAcswL7rOkTm6D+gDvYA5KDjlYIGFBQAAFS8PxwW/emj
AAAAAElFTkSuQmCC
) |
| proveit.numbers.number_sets.natural_numbers.zero_in_nats |
195 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAQBAMAAACmdTG/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6UlEQVQY02NgQAdc+12sGNjmT2dgVDIJQJVi
eVDBwLCegUGEge07qgzHRrYLDJwMDI0MDDPRZJ4wGDJwMzDMX8DQLwAWObJ7twFYRvaAMEimm4Gh
H2xR8SmYHoFWngRuMHM/iGC0gpsmwMLgDpZh/QMimQUQMqwKq1eDWNwNYBmECwQY7vF5glgqYH7k
biBwgMpwLOgEMnjBWhiWIOvhagCZ9oyBEWQFN7IMQwwL0P4EBp4FQD7PAXjoAD3BE8LAIK2kpA0W
sIPJMD8AEspAz/z//xkssMJ9AZhmtZ8CJBcjh1eZNyR0oAAAgjkuwI39QLgAAAAASUVORK5CYII=
) |
| proveit.numbers.numerals.decimals.nat2 |
196 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAK0AAAAVBAMAAADGGHNoAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.core_expr_types.tuples.tuple_len_0_typical_eq |
197 | instantiation | 210 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOwAAAAyBAMAAACtySp4AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAArBAMAAADieDd+AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEM3dMrvvmVREiat2
ImY8TSN9AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6UlEQVQoz2NggAHGMAMGdMBUgCHE34AhNF8A
Q2gxhgiD9pkdaCKMnwTkL6AKcXxkYDuAKsSuwMC/AFWIeQHD/AYMZ9ULSG1ZswFJyIExj+HsVgYF
hBD3A9YChgkmKI7YVQckPmA4lyMAQ4h9AYYQtwMDzYGQMQiYYJX7DwNUs43pAoaQPArvelEIA0MT
sghvAMP6CbeMliCHywUGtgQGDWRVbB8ZuP8yfEQJPQMG7i+cCWjWMX/g2SCCKuR/gP3AQlQhawaW
OtTAZ8eMsdeY0bqA4S6akBcDw0FUEV7z8nK0zMAMDGNwQgIAg406MnbbkZQAAAAASUVORK5CYII=
) |
198 | instantiation | 211, 212 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGoAAAAyBAMAAABG0lM+AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAArBAMAAACHlcUBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA10lEQVQY02NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQbKwH8YIEo16wEYSx5EHEvVZWAoBTJ4FBjmN5x0nQt00AEG
ZgOGcKAY80cGrj8MH0GOdGDg+sthANHI8oF7gSyYdX8D24aJYJYXA28e2CNscC++gvt6AsMZCOsm
A8NGMIPHLS0NEjcsQIcHgBgASgc5DetzxUAAAAAASUVORK5CYII=
) |
199 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAREAAAAXBAMAAADelGYUAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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==
) |
| proveit.numbers.addition.subtraction.add_cancel_triple_32 |
200 | instantiation | 254, 244, 213 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADUAAAAUBAMAAADfOGjQAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMkTNuxCZZquJVHbd
7yKDlRhzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA7ElEQVQoz2NgwAYifYz3SWKVYeDuLWDNd8Mu
l63JwMCOXY4xwRVItqEa5XPmMIjmCHAAkuHIUkzWARAGC18C1AABBiZ7kBkMj6FSDC8YJ0AYbAwM
wkWdIJYdzABJpgIIYyEDQwMDC4hlAJN7xrQBwpjAwB4A0szAeOfMmTNHIPZBzdzAwM3AEA1ksDrA
9LEEQJkJDIoMDKkg1gG4g8H+Y2JgSAfKRgiAhHYjwkUDSCQzMDBbG5YdAoswL4AHgnMe6xqQH2v+
n4SIsLaowuPB908e2IMFcHumQMIMAXgFGHACedxSDHvwyD3EKQMAyUUrn+CBBKMAAAAASUVORK5C
YII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAOBAMAAADpk+DfAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMkTNuxCZZquJVHbd
7yKDlRhzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAV0lEQVQI12NgFGBgsndlYGNgEC7qZFjIwNDA
wMIwgYE9ACi0gYGbgSGaIYFBkYEhlSEdyIgQYGC2Niw7xMDAUPP/JJBkYCsAkQy8AmBKHkwy7IFQ
D0EEALcGDSMwA/OWAAAAAElFTkSuQmCC
) |
201 | instantiation | 214 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEQAAAArBAMAAAAznzMOAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABNElEQVQ4y7XUP0vDYBAG8CcmvpHXSrI6lBac
hX4C6aAOgpBNcOpix+ri3m/QCG4iBhdxEOKsQyZBcOjqpLNTM7gpNZT2LpI7dMkNWX5P/tzxXuBs
dCFWCZZ7cqQEwYkSYRiFSoThXEmU4PDhRo4QOJ9hKxM7IvBzuKkUYTARgliKMHgxRmLbDEX3x+H6
3UUijGUOwdjZwuM1okqEwL4v9TDcr76IwbkdFJeJ0PRv8NvKhBlMrEQY7FiJqFB/me1ZJXU8e7qo
f0Kd3zLfvOxPaGn3zuDpaBM4FZSg0cbV8HnnspJgsBncDg6Ec0Dg5rBfyKsRBtuF/V7pCE8pgzdZ
TZrithG8pSY9kyIMe1gbiGeUwGgbwvChTZbAj/EirxnBK3AvRggau/2++HNm8IqjF4lDWcAPGyZ2
lQ9GC3wAAAAASUVORK5CYII=
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAArBAMAAACHlcUBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA10lEQVQY02NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQbKwH8YIEo16wEYSx5EHEvVZWAoBTJ4FBjmN5x0nQt00AEG
ZgOGcKAY80cGrj8MH0GOdGDg+sthANHI8oF7gSyYdX8D24aJYJYXA28e2CNscC++gvt6AsMZCOsm
A8NGMIPHLS0NEjcsQIcHgBgASgc5DetzxUAAAAAASUVORK5CYII=
) |
202 | instantiation | 254, 216, 215 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAE4AAAAVCAMAAADfPSgbAAAAOVBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
203 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGUAAAAVCAMAAABogNA8AAAAOVBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero |
204 | instantiation | 254, 216, 217 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEcAAAAVCAMAAAAjKAPRAAAAOVBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACXHtMAAAAEnRSTlMAMt0Q
q5nNdoki72a7RFTt5ckWYec9AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABF0lEQVQ4y62Ui3KEIAxF
A4FEINCW///YysOt7sJqazNjHEY55N4AADcC4V9iiTUvvNzCOFNyYIAodzjGlezVmrL7OyZWNS4X
k3y6MiOQF8mkvYQ6tlLiY30CqMrR9YPSZ8ZLNSOaII8/uTEbxzOgsZQvcJb6UmZrebe26cpVF1/l
WAfUdX1+SdW19/mFw6LXoBGnl/GoC7j0vY2eOJEYx/UYxD7/x6eyDy0OOI5woktJorZREo/UHznk
hv540llvhRJc4Ex8DgG3Tymec5TXPeRJl2AIb7t64KDM+q7s3t5TXXq6f6xycp3DPOOspfI7Zcvx
2FMacWw5sAEkTq8R4zOZ3TpoJOLreZd1MRHK6TdXixzPxXl8A0vsCf9O083RAAAAAElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
205 | instantiation | 218, 219, 220 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFoAAAAuBAMAAABaNRPmAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMt0Qq5nNdoki72a7
RFSRpcO+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABGklEQVRIx2NgwARsExhIAPakKGZ4hk9SyADB
nhp2kGGGWiNOtcyu+QjVnAcY+i8w5OEzux6hmmUCA9cChs9Equb6zMDyk3cBsWYrMLB8ZHcwJE41
EDB9YC1oJlq1fAFjtADRqlUIRAZEtX0CmMN6gCjVTAFgzhYGolRDAF8Dw0ycCsGpDVm1BANDMf7U
1o9IoJyqoaEKeFOby/qUDfDA/v//fwIuxfhSGyoApU38qQ0JQNLmZyJVg9Mm/tSGBMBpE39qQzYb
lDbxpzZUwPQBf2pjVQIDB1jaJKUgUCFFMTRt/scKMFQTTJvI7sabNjEA3rSJEfN40yZGYONLm8QA
RmUSFJuEfSbFbPZR1cNGNcdPEhSzeH3zJqQGAKCgYnh1lxSOAAAAAElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
206 | instantiation | 228, 221 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAF4AAAArBAMAAAADEyIvAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
207 | instantiation | 254, 244, 222 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAQBAMAAACmdTG/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMt0Qq5nNdoki72a7
RFSRpcO+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAsElEQVQY02NgwATMPWrpExsYGBiV0WVKVjOY
/glgMAn7jCbBWgtUvyeAgYEdXUaUx4CBgQVZpkZJKQFEO/OA7NqAkLlWDFVxYCqUAZXhTIbyOR0k
UGXYJkD5jA230WRgDuAMuI4qI6UEBAfA9sxAlbGBu/owD6oME1zmKsg/DBfgMuwFiDBwABJAr3H8
hAjkwTXVpE6wUwUGg9c3bzDf5KwBPKzXq05ADq8bhyChAwUAI28s89X+t8IAAAAASUVORK5CYII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
208 | instantiation | 254, 244, 223 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADoAAAASBAMAAAD4atBAAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA9UlEQVQoz2NgwA4YJ7lGn53AwKjsgE12lx2D
2KcEBgbWBCySbDsmMDA8AsrwF2CRvcYkwMDABZTtF0AS3eTiEgCiFzKB7H7AwDAFSbJ1I5ShcAzK
iNq9HCbJEwhjLLgJdfpXAfkDUEFWGIN3Qh+Ewf6RgXkDTBZuSEI31O0BDPwToIKXXYBAAWzvSYgI
ywSGfpifhODOU2SC0EDv5gtIrp29AKQSLtsG8i9DAwP/BUY7hj2LGEDe5N6ACKsFYEu5HjAlMDT4
QgTDEcESdkDcDeijlXlA4gNETEpDAB5H9m4w/7ErQBmdKpCQRI2SCQx4ANcF7OIA+4s1MSghqR4A
AAAASUVORK5CYII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARBAMAAAAidOHKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAbElEQVQI12NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQYGAHjIFdRVzx08AAAAAElFTkSuQmCC
) |
209 | axiom | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANcAAAAyBAMAAAA92lO3AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.physics.quantum.QPE._delta_b_def |
210 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPsAAAAWBAMAAAD0hvfJAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.numerals.decimals.tuple_len_2_typical_eq |
211 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJcAAAAVBAMAAAC5yWGZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.negation.complex_closure |
212 | instantiation | 254, 244, 224 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADwAAAArBAMAAADWAfZiAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAArBAMAAACHlcUBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA10lEQVQY02NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQbKwH8YIEo16wEYSx5EHEvVZWAoBTJ4FBjmN5x0nQt00AEG
ZgOGcKAY80cGrj8MH0GOdGDg+sthANHI8oF7gSyYdX8D24aJYJYXA28e2CNscC++gvt6AsMZCOsm
A8NGMIPHLS0NEjcsQIcHgBgASgc5DetzxUAAAAAASUVORK5CYII=
) |
213 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADUAAAAUBAMAAADfOGjQAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMkTNuxCZZquJVHbd
7yKDlRhzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6UlEQVQoz2NgwATFV/xtrhQwYAcOLxg0SgJw
yL1kYGFswCnH9sAARYjb58xhhJwDshSTdQBCH0co0ExGAQYme1eQyOMAJDNFFj9gYGBjYBAu6gSJ
2CHse2vzZyuQXsjA0MDAAhIxQHJLeTCInsDAHgDSzMB458yZM0egcizhIL9vYOBmYIgGMlgdkPQx
JoCckMCgyMCQChI5gOy/xCdAOh0oGyEAEtmNLBfCDTSU2dqw7BBYhHkBXO4ZA3uBE5BR8/8kRIS1
RRUeD34MLvZApWzw2GCaAg0zOOAVYMAJ5HFLMezBI/cQpwwA07o8urboFVYAAAAASUVORK5CYII=
) |
| proveit.physics.quantum.QPE._phase_is_real |
214 | axiom | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGIAAAAVBAMAAABPrCZEAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAq1RmmUTNIjK7EInv
3XZ/CtNrAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABTklEQVQ4y2NgwAQFDDgBO1ZRPgXcOlgfMDAI
gBjKyKLaDHjAYwYGVxCdjiTGlYBPB9sChkaQ6yYgibEY4NPB7ADSxMCN7HIeBrzgFAMz0Eg2ZCE1
/DqSGRjO3r17GlnIG4jXPVyxGz3EoGIbGRg8GBhmoRnC4MAnx3IB5Ke7YAAOT6iYGQNDIQO7ALKO
S0DvFTD/YkQLAJiYDgMD5wLuAGSpowwMHAwsGEEME+tnYGB6gOJxkA5ggD3A9DNELAaIE+yAxDv3
JwVwVzEwxBdwLUDzB1RMF8jalAVMSwWSbNDAmcfAsDJAhoEbzQaYmCUQ1wCNYGaYxwGVAgaffpcP
QxCaDpgYKPAZG0Ai32FSvQwMS94xOaNHB0zsKjwoDsCSPm8DvihnvwBl1HAnsCDSGh4AT6csT/e9
gglOx6ejEpvgSnw6sBrH/gC3Br4CBgBNaE7Uk29NoAAAAABJRU5ErkJggg==
) |
| proveit.logic.equality.equals_reflexivity |
215 | instantiation | 254, 226, 225 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAE8AAAAXCAMAAAB9N+IuAAAAOVBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
216 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGYAAAAXCAMAAADOf8o0AAAAOVBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero |
217 | instantiation | 254, 226, 227 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEcAAAAXCAMAAABu4KLaAAAAOVBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACXHtMAAAAEnRSTlMAMt0Q
q5nNdoki72a7RFTt5ckWYec9AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABPUlEQVQ4y62UCXLDIAxF
BQjEImjL/Q9bNtuxcWO3rmbCQBIe/C8JgAeh4F/CxjZaso8wDusYCCDyEw66OnpRhuz+jolNjcvV
JJ/uOmq5hO7H6jrnj/IJIBpHhvq9kFfGE9brO4mbo9S2Do4nUKhNvuDYYNuuqFdH1Zh0XbnpoguO
sGD6jFt6qq7PL266Xn2eOMSyhFmWrBSOi4lBFLj+t+a9rw6caGi3LhIE9WlKoEVHb6ItaXXCcUZN
smIYRwQI1YpEp9nYccyxpiL1zRVJkCrSwA3OVP+2b+73odJUKV5zhJcj1qbZ+/NzbnccNfccK3fM
1w1d8qyTtvpJdzk050Iv9YxvXwi7b3szH2mX/tJvnhH02WB4cQg5Hs10OhuTew3+5mnh177ox4nW
W88DqTwfScTHoIRsPIfzH78BdXsKLvjKcUEAAAAASUVORK5CYII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
218 | axiom | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANEAAAAXBAMAAABnpbd1AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.logic.equality.equals_transitivity |
219 | instantiation | 228, 229 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAF4AAAAuBAMAAABT3rOcAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMt0Qq5nNdoki72a7
RFSRpcO+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABTElEQVRIx2NgwASZDDgA2wRsoswfcKm3xyrK
l4BL/TMwKWQAF+AMzRHgbMoQwFQ6Newgwwy1RqDtrvkI9XMYOP4ysD3AVM55gKH/AkMemF2PUO/J
wLCKgd8AUz3LBAauBQyf0dWvN2Dwn3ALi8u5PjOw/ORdgK7eiYHBX6CEGdP9LAoMLB/ZHQzR1AOB
PkM4hwG2wGH6wFrQjKGe8TuD6EasgSlfwBgtgKGeyQFX4KvAGBD19pBYisGlnPUAqnqmABDJjdP4
LQyo6iHgBQPnBOyJpIFhJqZ6xgYGdqyBwyDBwFAMZfYjTJwUGhqEVTmnamioAoTpsj5lAzzw////
hlU90////3Em21FAFAhSAgEVOtv6HyvAqWrQuZ9+QMgArzSjMmqpj1zuYgEmYZ/RROrxm88+qn5o
q++fgFc9x09UPnK5iwWweH3zBlIAj3dz8bfJyxQAAAAASUVORK5CYII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
220 | instantiation | 230, 238 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEAAAAAuBAMAAABquQLHAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA3UlEQVQ4y2NgAANmAQb8YD0BeYbHeOSElF0Z
xDan4pRndGDIL2Cww20AhwAD5wSGX7gVcP5i4PjIPgGPCRsYOL7yNCzF5wXuD0wHsvApiD/AqhuA
T8EOAoHE5EBAwQ0C8nwJDII4JUGRGMbAcApfJDJuUlLagC8Suf///2+ASx5fJIJjGV8kQmL5F4FY
xheJ4FjGF4ngWCYQidwfMCKRaTcYNMBimUAkEBnL/2GAqFhGdgPeWAYBvLHMQCiWGQjEMgaIXoBX
mqvJfgEBE86PKqCSgnwCJXXHfIsLOCUBfGZV+CMl/wMAAAAASUVORK5CYII=
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
221 | instantiation | 231, 238 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGcAAAAaBAMAAABY01/VAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
222 | instantiation | 254, 233, 232 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAQBAMAAACmdTG/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMt0Qq5nNdoki72a7
RFSRpcO+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAqUlEQVQY02NgQAfcWWe+aZ0GsRiV0aR4OB14
vQ8zMJiEfcaQaWA4IAJksGOTiWRDlqlRUkqAy/AgyVwrRtLjbIKQ4UxGMo3xXCZChm0CQmaZvroB
kgySC7o3gy2EykgpAcEBqGmHdyPJ2CC7WpQHyTQmZBlWyQMIGfYCJBnmA9VABsdPiEAeQiaAYTfP
BQYWr2/eYAGTswawsP4zgefYP6TwunEIEjpQAACX8zHRfAI5BwAAAABJRU5ErkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
223 | instantiation | 254, 233, 241 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADoAAAASBAMAAAD4atBAAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA80lEQVQoz2NgwAb4gpW+OusBGYzKDlikmXgW
cKxTBDJYE7DKTmBQuAVk8BfgkM1hBTL6BZBEN7m4BMBlmYCMKUiSrRuR9C6UAjKidi+HSfIEIpnM
qx4DdPNXAfkDUDHWAwhZU39voJXsHxmYN8BkkVw17yHIAWwBDPwToGKXXYBAAWqy4jsgzTKBoR/m
JyFkH11jEgB7N19Acu3sBSCVyLJsd4Cm8F9gtGPYs4gBZAv3BiRZRoV9DAxcD5gSGBp8IYLhCNkE
hndMDQyMK/OA3voAEZTSEIDF0acDTKrfIaLsClA9nSqQkEQBbBMY8ACuC9jFAY25NmxhIHZRAAAA
AElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARBAMAAAAidOHKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAbElEQVQI12NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQYGAHjIFdRVzx08AAAAAElFTkSuQmCC
) |
224 | instantiation | 254, 233, 234 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADwAAAArBAMAAADWAfZiAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAArBAMAAACHlcUBAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA10lEQVQY02NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQbKwH8YIEo16wEYSx5EHEvVZWAoBTJ4FBjmN5x0nQt00AEG
ZgOGcKAY80cGrj8MH0GOdGDg+sthANHI8oF7gSyYdX8D24aJYJYXA28e2CNscC++gvt6AsMZCOsm
A8NGMIPHLS0NEjcsQIcHgBgASgc5DetzxUAAAAAASUVORK5CYII=
) |
225 | instantiation | 254, 235, 256 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAE0AAAAVCAMAAAA0CpMYAAAAOVBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
226 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGQAAAAXCAMAAADKihoJAAAAOVBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero |
227 | instantiation | 254, 235, 236 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEYAAAAVCAMAAADM6mjvAAAAOVBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACXHtMAAAAEnRSTlMAMt0Q
q5nNdoki72a7RFTt5ckWYec9AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABIklEQVQ4y61UCW4DIQw0
l7kMbfn/YwtekkJCw+awdi2BPCMfYwBeNwWfMJfYO+veYfG6+WgBEr1Bo33zQVRX/MssiUvxpTUo
5FOQjKEEJCkpRABDzb7qH0EwjYwtSshNzy3pljvy168Y2WmCBaUNlg2NMR3pLtmr3tWjqMLXdkfD
3azIA9yK+v4hLmps8R2NrW2QEmedGQFcGteir6Ft4MfphiahXWRXkcJcDvQXUOVn1ILG47LEiryC
s10OYqLBpZayY8H2EDhBs4wZh53TnkYE2W3cFJv7Jj6Y6USjVntWLz0Nm3SiKLkSjuh4VU5mw0q4
HbaBdAxbywfvz7zomBfDZhV4yv8+LVqHgjoOjdCUZj0GwlC1X9ec3FNvCU3LsLdfI0cI0bHfzR4A
AAAASUVORK5CYII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
228 | axiom | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAO8AAAAXBAMAAAARnwX+AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.logic.equality.substitution |
229 | instantiation | 237, 238 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGcAAAAaBAMAAABY01/VAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
230 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIQAAAAmBAMAAAD3vi5xAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.division.frac_one_denom |
231 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKEAAAAVBAMAAADcJJPmAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.multiplication.elim_one_right |
232 | instantiation | 254, 249, 239 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAASBAMAAAAEf/uKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMt0Qq5nNdoki72a7
RFSRpcO+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA1UlEQVQY02NgwATMPWeOTgAxGJXRpUoWMkzy
ANImYZ/RZDh2bGDgjT0AZLGjS0mwAYkD25GlapSUEkD0YRMg0ciGJHWtGOqIA+JA8h2rAFyKMxmq
mbHhNpC8zf0ALsU2ASrFW7APSIrzbUBIwVzB2fAapIv9AlxKSgkIQC5mgNplAJeygTv+8BQ0FzLB
pW6A/bUPIcVeAJNiBYWGL8hsjp8QkTy4thZgGLoCaRavb95gAZOzBjA3xqd9FUAJuxuHIAEFVC6w
nQEXcGf3k8UhxeeTdZoBAALzO1fE+BU9AAAAAElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
233 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADsAAAASBAMAAAAXqLt+AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEIm7mSJ2q+8y3WZE
zVRISQrpAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABDUlEQVQoz2NgYBAyNnZlQAN7m+1vNW8Asdgq
JrAuV0CXNwhnOL5ZAMjQ1mZgOHIYQzqIgZmzgIGBU+ECAwMzdwKmNEsASEYQqIZpwgWwIJvVqlWr
JsClDRgYhDmBGvkeeILEOC8FIOlmB2mcxAN0IM+GfSAxqQBkwye/BXKPcT8Aakt4DRKrQbI74tav
RCAdxAfWnQMSu4DstN2yIJoZYrcjyOoCZGlmaVCwMIvCXc6KIs3pYAikeSD+fgASW4Dib89gEMMb
GGrHIaHmjSItzAYynQkU5g5gMd4DCOkQBu4NNiBWyN/7nhAxRvODiBgzZTC+D7ayEh7iPMqwQEUC
7AnpLw8w4AbPbSFRjwkApNtJpbpIiBIAAAAASUVORK5CYII=
) |
| proveit.numbers.number_sets.real_numbers.rational_within_real |
234 | instantiation | 240, 241, 242, 243 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD4AAAArBAMAAADS9CZfAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
235 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFsAAAAVCAMAAAAeumK3AAAAOVBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int |
236 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAD4AAAATBAMAAAA63aOfAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMt0Qq5nNdoki72a7
RFSRpcO+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAzklEQVQoz2NgwAMCGPCDA+TIM+ufSWbgWL8W
Js+ojKaA58EVBgZ7mH6TsM9o8iyaHBsYuBhYz5xZc+Y0AwM7hvwbhkwGJrj9cHn2Q0pqYPnZBdOw
yPOmG0D1T3Bkb8CUn2YAM38CD8NZTPlMuP0TGAOMjODhB5NPQMgz7OM7BXcuVJ5xkZKSkg5UnsXA
C12e+QCSfmYHI3R5BgUkeQZxHgz5cnj4CgAFZeDyHD8hNNsDBiRGGNw0r2/eEAf4XIY4NH8NkDTD
jFjeHkj4ogAA3UM1xsOhj+UAAAAASUVORK5CYII=
) |
| proveit.numbers.numerals.decimals.posnat1 |
237 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKEAAAAVBAMAAADcJJPmAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.multiplication.elim_one_left |
238 | instantiation | 254, 244, 245 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADkAAAAUBAMAAADFBIheAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA/UlEQVQoz2NgAANDBjyA6wM+WT4DPJKM2WYB
eKSZH6CLLPM2PhgG1KdkEsDAvwBNkqfzApe+EwODCAPbd4ZKdK06ZQwMvEDZRgaGmQwnuFDtZVXw
ApJNDAzzFzD0C+iwQYzm8d69GURzLHAAkmsZGLoZGPoDgq6CJdltoPazMCrAzdkPYwjDHCfBmgC3
5A+MBQ/PMPYLMCZ3A4wFDzEh9gMwpgrckNm7d+/eArEXZjIvXCuXA4zFsgDGfMbAKABlboDJsoP9
yw40LoGBB+bUM4iwqgASygwM0kpK2piRweOsyPUa6Of9//9/hlvcUgWPI8/fiuiBz54CCUkYAAD1
DjP3958AmAAAAABJRU5ErkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
239 | instantiation | 254, 246, 247 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADEAAAAQBAMAAABNQoq8AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMt0Qq5nNdoki72a7
RFSRpcO+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAwElEQVQY02NgwADP1i87pLMayGBURpOpcWRg
Y0hgYDAJ+4wmE8rAUM3xAMhgR5fxZGA+YMOALFOjpJQAog0YWAUckWWuFcN1iTAGIMlwJiPMO8xj
gCTDNgEuwdewnQFZBqEF7GaEjJQSEBwAM+s4LjAwI2Rs4FqYD8xhYGCZAJdhgsuwCHgyMNgj9LAX
wGREeYFudgIyOH5CBPLgbmYzYJjzBqjX65s3WMDkLNgTDLxrss6c+nUCObxuHIKEDhQAAKWPLl36
U6F8AAAAAElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAOBAMAAADgeEClAAAAJ1BMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAilU6eAAAADHRSTlMAMt0Qq5nNdoki72YJhDyyAAAACXBI
WXMAAA7EAAAOxAGVKw4bAAAAH0lEQVQI12NgYFRmYDAJO8zAwMBOMsFxkoGBxeuYNwB0KguGAVQB
OAAAAABJRU5ErkJggg==
) |
240 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMAAAAAmCAMAAAClH2SqAAAAOVBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.division.div_rational_closure |
241 | instantiation | 254, 249, 248 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADsAAAASBAMAAAAXqLt+AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABG0lEQVQoz2NgwA4YJympHQDRyg7YpHfZMhxZ
CWKwJmCR5Xz5gIEjQwHI4i/AIn2TFUgovAYS/QJIwptcXAJAtKIUkJgLUjMFSbZ1I9RhCreBZDnb
BQaGqN3LYbI8gVAG74Q+INnHV8DA+FVA/gBUlBXG4NjwHEjeZn/AwP6RgXkDTBpuzIQ6kG7uBga2
AAb+CVDRyy5AAPINA9RuAQaWCQz9MK8Jwd2oeArqcqC38wUk185eAOSzwKU7wf4GOoD/AqMdw55F
DCDvcsMcwcAGCrUVQHu4HjAlMDT4QkTD4dpnAcN8GSgEVuYBiQ8QQSkNWBDy5Id+uwBTy64As1MF
EqhAUy+8hhvFNgEzVlZzL7/BAFOKKc2+KFiPAQCaGkL4pqoytAAAAABJRU5ErkJggg==
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAARBAMAAAAidOHKAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAbElEQVQI12NgVHZggALWBBiLvwDG6heAsabA
GAxRu5dDGIxfBeQPgFnsHxmYN4BZbAEM/BPALJYJDP0FMOPyBSTXzl7AwH+B0Y5hzyKGAAauB0wJ
DA2+IFNW5gGJDzDT2RVgLLYJMBbXBQYGAHjIFdRVzx08AAAAAElFTkSuQmCC
) |
242 | instantiation | 254, 249, 250 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADoAAAAWBAMAAABj+5JWAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABJUlEQVQoz2NgAANDBjyA6wM+WT4DPJKM2WYB
eKSZH6CLLHNxUQTpUzIJYOBfgCbJ0xnAuCOBgUGEge07QyW61txcBoaiEgaGRgaGmQwnuFDtZU0A
OpOF9wDD/AUM/QI6bFCjj+zeDXI+y6oGBga2AAOGbgaG/oCgqxDJ4lMQegnrAaA3H6iC2PvhPrOC
MsLYLzAwsF+4B7LkD9xjAlBGDS/Qi6wH3gKZ3A1wWRhDjA+s9ziQqQJ3auRuIHAAuQpirxYDAy9c
K8MSGINlIdTNDM8YGGHWccNk2SH+fQD0OAMPLBx5DsCkdYFhVQEMK2klJW240XYwBhsonBWAnv3/
/zNcdoU7zBihz/aqGFFZ5r0bmhBaeQ/giXKOAyeeFuCWfuE85QIAePZG/hhamtMAAAAASUVORK5C
YII=
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
243 | instantiation | 251, 256 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADYAAAAYCAMAAACGPf6pAAAAPFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAo1xBWAAAAE3RSTlMA
IpnNuzKJRKvvEN12ZlTn9enzY3MwdAAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAP9JREFUOMudk9uS
wyAIhhEVjah74P3ftUqaXZvYTkYuMiPx5+MkwGDWwIIlWVFBtQsiQ2zJLwhtnboxTSmI1ilFpv+9
G09EGXvjTPeSBICwTWHOnxJK3HRRm741SY6QrrX5OBwKK7GRNk0tigHMQNc03ThLpzFqk0QNEMWD
x3KFhREGgpqAHL3jd5N+WZx0yMqzAMnnrrPa13f/HkQj9HKb4x3Yv4z20O6NKuBpafV+2Gklwi3Y
0ZKqLak9hDGT2n5+9wr/wjpNq/SZeQXn2WLZs7PoImF7KYaxG88eEl5c3Jdr831iavYOrEmQcvz8
uiotPXabVlRlDcZLMPhY+APCVge9Yx9mxwAAAABJRU5ErkJggg==
) |
| : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
244 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADoAAAAQBAMAAAC1onFLAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAZs3vu90iq0QQiTKZ
VHZ+Ip2vAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA6klEQVQY02MQMvFXNRFgQAecS4L0shcwMDik
M7SLTECXfW7IMOfLAaBsFgMLdwGaJM8LoD4RiCxPggKa7B4WoGnsMFkHiOCT0NDQaBCjkgVktwBY
ln0mxORNy2B6HXJgjCyGLZcSwO4Mg0myFeyCySarfn0JZrE3wGS5FzTC9QpOgrCY4I5iO9AHl2WZ
CAmN7Qg3A62DMbgPeIJZ6QhZTxaEstMpYBYrQrYH5F+GBrDsFD6w0TwCSGEF9COPAthrjAIeYDEN
hOYnOglzYxgYgHHkxuCifwEkNKViAiKO7GMS0IK3yxUaklAAAIryOMbRZchkAAAAAElFTkSuQmCC
) |
| proveit.numbers.number_sets.complex_numbers.real_within_complex |
245 | instantiation | 252, 253, 256 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADkAAAAUBAMAAADFBIheAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA/0lEQVQoz2NgAANDBjyA6wM+WT4DPJKM2WYB
eKSZH6DyL0/xt55yAaRPySSAgX8BmnIHCYaKK0BBEQa27wyV6IY5iDGwsDYwMDQyMMxkOMEVgCHL
JAB06vwFDP0COmwQo3m8d29GyDowMHQzMPQHBF0Fi7HbLEDo5VjVAGbuh5knvADJ5JDHAiAW6x+Y
GCI8HSStf58Cs7gbYGIGSK66uxjCUoEJsc7evXv3Fqgsy1pQaDDwwrVyOSDpZVXwAjGeMTAKQMU2
IPtXVQRkXAIDD8ypZ5Bll/AAjZZWUtLGjAwHIQbeC+5Az/7//xlucUsVPI4cGVzs0WKOPQUaklAA
ABIsPIKH85V+AAAAAElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
246 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADkAAAAQBAMAAABelcpIAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEN27zYnvRFSrImZ2
MpmnAiL6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA/klEQVQY02MQ+mwiwBD2rYABBbTkpxgpZwMZ
FuwTGBg/oEoyHJ7LwMLgAGRMWhDNwJCAJvuOgeE0awOQMcOAZQGDAprsLAZGA2EwYw+XA0z2sJKS
ki6IIcDAd2EuWJbzwlGo7JUohO6bvA8ghhgwF4BlGbWQzDZkFoDI3mNUBMtyInmLI2AP1AHcDc1g
N7MgaYX4ByTLMJETLHsTSfYEawEDI0RWkhFs8kqEJKPBYqBNC8CyvAcMQEJMCFnOC0BheSDDFojP
gmX5NsBl77ED/TMJyPAAiUOc4I7wD4sAw+JmYAh8A+pjhMgKTxeASLInuxmbfTNFC95SI2hIQgEA
ReU3Hj/DorcAAAAASUVORK5CYII=
) |
| proveit.numbers.number_sets.integers.nat_within_int |
247 | theorem | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAQBAMAAACmdTG/AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAMt0Qq5nNdoki72a7
RFSRpcO+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAt0lEQVQY02NgQAfM+meSGTjWr2VgYFRGk+J5
cIWBwZ6BwSTsM5oMiybHBgYuIIMdQ+YNQyYDE7JMjZJSAlhmdsE0FJlrxTA9ExzZG5BkOJPhpk3g
YTiLJMM2ASHDGGBkhCSDcMEEhn18pxAyUkpAcAAqw2LghZCxQdbD7IBkGhOyDIM4D0KGvQAeOgJA
ngyQwfETIpAHk2F7ACTCgHq9vnmDBUzOGoBpxvw1QNIMObxuHIKEDhQAAORrK82gq3UjAAAAAElF
TkSuQmCC
) |
| proveit.numbers.numerals.decimals.nat1 |
248 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADkAAAASBAMAAAATXWtDAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAELvv3c2ZVESJq3Yi
MmZ3LnoBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABBElEQVQoz2NgwApK7U1VnOwYGBiVHbDIblrL
wMoQAGSwJmCRTWNg2MdZAGTwF2CRXcPAqCAEYvQLIJvo4gIyj0GAge3CWhBjCpJk60Y48xYv2Mao
3cthIjyBCIWKTCAzGb8KyB+AirAegEuyT3gNpj4yMG+AySK0QvzDwBbAwD8BKnTZBQgUwMztnA0M
jAwMLBMY+mF+EoJrZVQ4xMDAdQDk3XwBybWzFwDFWOCyXBfWMDDIAwPjAqMdw55FYGu4YQ5guMYB
9M8SoKoHTAkMDb4QwXC4f1gFGA4VAW1YmQckPkAEpTQgAcdhFKyk/FkT5jsFKKNTBRKSKIBtAgMe
wHUBuzgAroAy50zI1n0AAAAASUVORK5CYII=
) |
| proveit.physics.quantum.QPE._best_round_is_int |
249 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADkAAAASBAMAAAATXWtDAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAVM3vu91mdqsymYki
EESqKsraAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABHUlEQVQoz2NgVP6sEuqcwIAKeLe4eB0A0uwe
ExgUmNAkGSosGY52A2muBQzsCRvRJLmzExj41jkwMHAcYLjC64AmOxtkmEM60AYGhpUcEyCCJaGh
oZEghu8NILETbB9nwyyI5KQ9MDc5TAeSglwgTSwXfCFiMTCDOTc8A5LP2ASApDRbAViM4wFMlq8g
EUhOZwT5E+YfhLd4NoiB9LIDlbML7GNguADkzUC4GWovUPQKD9A/PUDeCYSs7wmYmzuBPub9AGSw
ImRfg/0LtJxzwSuggwJAoYYIbC5QWPU5gPyjy8DjCA4sPYTmHcBw7gLSj51MXOxNNoCErvRdgLt6
vdKvCWjB+9oVGpJAuyakM+AB7eyN83DLMrYouzEAAFryQoQ5NsiXAAAAAElFTkSuQmCC
) |
| proveit.numbers.number_sets.rational_numbers.int_within_rational |
250 | instantiation | 254, 255, 256 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADgAAAAUBAMAAAAqxuNgAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABCElEQVQoz2NgAANDBtyA6wMeST4D3HKM2WYB
uGWZH6CZZPnTZLfnBQZGJZMABv4FqJI8HgEMBswMDCIMbN8ZKtFMYlJg4LmQx8DQyMAwk+EEF6qd
HAIMS7gcGBjmL2DoF9Bhg5p7ZPdukMO5GBhUOYDquxkY+gOCrkLkik/B9LI2BEEY++FesoIbzLLA
C6LoD9xHAnDJZ7wHwDR3A1wS4SQDKFsFLhK5GwgcwB59kM7AAHQkL1wjwxIEi9EB7MtnDIwwq7jh
kq1AnwKjijWBgQcWeDwHYB5RKAKGxAYGaSUlbbgGO7hHrBgY/RwY9v///xkuucIdYkil8xSX+VMS
0EK8zHs3UrwDAGzGOOHznct8AAAAAElFTkSuQmCC
) |
| : , : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAATBAMAAAC97EqZAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAc0lEQVQI12NgAANDCMXA9QHK4DOA0IzZZgEQ
FvMDIE/JJICBfwEDgwgD23eGSqBoIwPDTIYTXAEM8xcw9AvosC1g6GZg6A8IugrWsx9qGusfKIO7
AcpQgdK8MIFnDIwCYKUJDDwLQAxpJSVtiCH//38G0QDzxhbahjP2rQAAAABJRU5ErkJggg==
) |
251 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIMAAAAVCAMAAABSfK0KAAAAPFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos |
252 | theorem | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPcAAAAXBAMAAAAl5sTiAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.logic.sets.inclusion.unfold_subset_eq |
253 | instantiation | 257, 258 | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEcAAAAVBAMAAADm2O7QAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEN27zYnvRFSrImZ2
MpmnAiL6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABGElEQVQoz2NggAM+BiIAM4WKhD6bCDCEfSvA
pmhLsr1T8gYQy4J9AgPjB+wmGaxkqNwsAGRMWhDNwJDA8NjYzNh4A0TusJKSki5Y0VIGZt4JQMYM
A5YFDArIJl05BTdpKQPfAgcgY9YeLgcURYxaDCiKDECKOC8cRVHEWYCsiFMQZN0sBgPmAmRFLAzI
ii63LAAruseoqIAU4jeRFC1z+nSQAayIu6E5AcnfK5FN2i3CAFHEMJETWRETsiJm6Q1QRZKMCkiK
+DYgKeJ9YAhVxHvAADmc3ZEd/nYxiGELxGdRFElOF0AoEuYBGewBssEBJcpKjWDRso6Be4M5MA6+
AU1hdMCaQoCpwIrB2L+BgZaAT0kJllSgAABT5UNearQ89gAAAABJRU5ErkJggg==
) |
| : , : ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAAPBAMAAADJ+Ih5AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAZs3vu90iq0QQiTKZ
VHZ+Ip2vAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAX0lEQVQI12MQMvFXNRFgAAKHdIZ2kQkgRhYD
C3cBhMGToABjOEAY7DOhUlsuJYAYyapfX4K1ZwlOYoAwWCZCDMziPuAJYTCcToEypvCB5BxyGBgF
PBgYgLa7MbjoXwAAK2IYKL6KYFkAAAAASUVORK5CYII=
) |
254 | theorem | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPcAAAAXBAMAAAAl5sTiAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.logic.sets.inclusion.superset_membership_from_proper_subset |
255 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEYAAAATBAMAAADfQ2bzAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEN27zYnvRFSrImZ2
MpmnAiL6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABGUlEQVQoz2NggAM+BsKAmSI1Qp9NBBjCvhVg
U8Ph9s1ZyWwDA4MF+wQGxg9YzeGxvMDgwAJkTFoQzcCQwPDY2MzYeAOqGr4HDDwbIoCMGQYsCxgU
sJrDuYBBmNEAyJi1h8sBVQ2PkZKS0gUgg5GB4S0niDGL88JRFDW8rgvgJvFOuAeiZjEYMBcgqxFa
gBQeAoYQNfcYFRWQwnk6kotauQ9A1HA3NCcgiTsgs1kYIGoYJnIiqeGdgBRADeEMDAJgNZKMCghx
LiQ1wlwGYAVAxHvAAMl8JPVzgSEEigNbIPsssprXCGsf1AEDEqjHA+QlZHeyFCB87sjAZWHAcOUb
0AxGZDWMloVQVplJsnF+cgC25MIeDI0LKAAAgmM5tAHArggAAAAASUVORK5CYII=
) |
| proveit.numbers.number_sets.integers.nat_pos_within_int |
256 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEUAAAAUBAMAAAApce1IAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAIpnNuzKJRKvvEN12
ZlQ4bmvwAAAACXBIWXMAAA7EAAAOxAGVKw4bAAABH0lEQVQoz2NgAANDBoKA6wMuGSY4i88AlxoW
GIMx2yyAkBoG5geoMqu/OC9gyPxZAFXDqGQSwMC/AE27H3sDxJFgNSIMbN8ZKtGt6BbIZWCYwKDi
4unicoGhkYFhJsMJLjT39DkwCzBsgJkzfwFDv4AOG8QyHu/dm8GMxjuMBgg13QwM/QFBV8Ey7DYw
dzVyBBxDqAGC/TAbhOFOb2RwYClAUsP6ByaDiJFGhiCuXRsQ4czdAJMxQFLD++DJBIQfVGAM1tm7
d+/eAlXD0MWBUMMLN4bLAckchhVcG+DcZwyMAlDmBmQ1rAfgWlgTGHhg3jkDV+MKxEfhaqSVlLQx
o9YO5CW4F/b///8Z7qCWKggj+CfQDC7siYo9BRoXKAAAO4pDRXkqRM0AAAAASUVORK5CYII=
) |
| proveit.physics.quantum.QPE._two_pow_t_is_nat_pos |
257 | theorem | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALkAAAAXBAMAAACllfPxAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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) |
| proveit.logic.sets.inclusion.relax_proper_subset |
258 | conjecture | | ⊢ ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEcAAAATBAMAAAAwgQ3NAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEN27zYnvRFSrImZ2
MpmnAiL6AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABDElEQVQoz2NggAM+BiIAM4WKhD6bCDCEfSvA
pmhLsr1T8gYQy4J9AgPjB+wmGaxkqNwsAGRMWhDNwJDA8NjYzNh4A7qipQzMvBOAjBkGLAsYFHCY
tJSBb4EDkDFrD5cDmqLDSkpKunBFBiBFnBeOoiq6EoVkEqcgyLpZDAbMBciKGLWQrbvcsgCs6B6j
ogJSiHMWIBQtc/p0kAGsiLuhOQHJtSzIDt8twgBRxDCRE1nRTWRFzNIboIokGRWQFK1EVsT7wBCq
iPeAAZIiJpRwersYxLAF4rPIivg2ICsS5gFxPUDiDsjh7I5QtI6Be4M5MOS+AU1hRFEkPF0Angqs
GIz9G7Amn1IjaLRAAQAVTUIDROUmwQAAAABJRU5ErkJggg==
) |
| proveit.numbers.number_sets.real_numbers.nat_pos_within_real |
*equality replacement requirements |