import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof
step type | requirements | statement | ||
---|---|---|---|---|
0 | instantiation | 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 | ⊢ | |
: , : , : , : , : , : | ||||
1 | theorem | ⊢ | ||
proveit.numbers.addition.association | ||||
2 | reference | 38 | ⊢ | |
3 | reference | 37 | ⊢ | |
4 | instantiation | 13 | ⊢ | |
: , : , : | ||||
5 | instantiation | 14 | ⊢ | |
: , : | ||||
6 | instantiation | 14 | ⊢ | |
: , : | ||||
7 | instantiation | 41, 20, 15 | ⊢ | |
: , : , : | ||||
8 | instantiation | 41, 20, 16 | ⊢ | |
: , : , : | ||||
9 | instantiation | 41, 20, 17 | ⊢ | |
: , : , : | ||||
10 | instantiation | 41, 20, 18 | ⊢ | |
: , : , : | ||||
11 | instantiation | 41, 20, 19 | ⊢ | |
: , : , : | ||||
12 | instantiation | 41, 20, 21 | ⊢ | |
: , : , : | ||||
13 | theorem | ⊢ | ||
proveit.numbers.numerals.decimals.tuple_len_3_typical_eq | ||||
14 | theorem | ⊢ | ||
proveit.numbers.numerals.decimals.tuple_len_2_typical_eq | ||||
15 | instantiation | 41, 27, 22 | ⊢ | |
: , : , : | ||||
16 | instantiation | 41, 27, 23 | ⊢ | |
: , : , : | ||||
17 | instantiation | 41, 27, 24 | ⊢ | |
: , : , : | ||||
18 | instantiation | 41, 27, 25 | ⊢ | |
: , : , : | ||||
19 | instantiation | 41, 27, 26 | ⊢ | |
: , : , : | ||||
20 | theorem | ⊢ | ||
proveit.numbers.number_sets.complex_numbers.real_within_complex | ||||
21 | instantiation | 41, 27, 28 | ⊢ | |
: , : , : | ||||
22 | instantiation | 41, 34, 29 | ⊢ | |
: , : , : | ||||
23 | instantiation | 41, 34, 30 | ⊢ | |
: , : , : | ||||
24 | instantiation | 41, 34, 31 | ⊢ | |
: , : , : | ||||
25 | instantiation | 41, 34, 32 | ⊢ | |
: , : , : | ||||
26 | instantiation | 41, 34, 33 | ⊢ | |
: , : , : | ||||
27 | theorem | ⊢ | ||
proveit.numbers.number_sets.real_numbers.rational_within_real | ||||
28 | instantiation | 41, 34, 35 | ⊢ | |
: , : , : | ||||
29 | instantiation | 41, 42, 36 | ⊢ | |
: , : , : | ||||
30 | instantiation | 41, 42, 37 | ⊢ | |
: , : , : | ||||
31 | instantiation | 41, 42, 38 | ⊢ | |
: , : , : | ||||
32 | instantiation | 41, 42, 39 | ⊢ | |
: , : , : | ||||
33 | instantiation | 41, 42, 40 | ⊢ | |
: , : , : | ||||
34 | theorem | ⊢ | ||
proveit.numbers.number_sets.rational_numbers.int_within_rational | ||||
35 | instantiation | 41, 42, 43 | ⊢ | |
: , : , : | ||||
36 | theorem | ⊢ | ||
proveit.numbers.numerals.decimals.nat1 | ||||
37 | theorem | ⊢ | ||
proveit.numbers.numerals.decimals.nat2 | ||||
38 | theorem | ⊢ | ||
proveit.numbers.numerals.decimals.nat3 | ||||
39 | theorem | ⊢ | ||
proveit.numbers.numerals.decimals.nat4 | ||||
40 | theorem | ⊢ | ||
proveit.numbers.numerals.decimals.nat5 | ||||
41 | theorem | ⊢ | ||
proveit.logic.sets.inclusion.superset_membership_from_proper_subset | ||||
42 | theorem | ⊢ | ||
proveit.numbers.number_sets.integers.nat_within_int | ||||
43 | theorem | ⊢ | ||
proveit.numbers.numerals.decimals.nat6 |