Show the Proof¶

In [1]:
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

Out[1]:
step typerequirementsstatement
0instantiation1, 2
: , :
1theorem
proveit.logic.equality.equals_reversal
2instantiation3, 12, 24, 19, 4
: , : , :
3theorem
4instantiation5, 6, 7
: , : , :
5theorem
proveit.logic.equality.sub_right_side_into
6instantiation8, 9, 10
: , : , :
7instantiation11, 24, 12
: , :
8axiom
proveit.logic.equality.equals_transitivity
9instantiation13, 43, 53, 14, 15, 16, 24, 17, 19
: , : , : , : , : , :
10instantiation18, 24, 19, 20
: , : , :
11theorem
12instantiation51, 29, 21
: , : , :
13theorem
14axiom
proveit.numbers.number_sets.natural_numbers.zero_in_nats
15instantiation22
: , :
16theorem
proveit.core_expr_types.tuples.tuple_len_0_typical_eq
17instantiation23, 24
:
18theorem
19instantiation51, 29, 28
: , : , :
20instantiation25
:
21instantiation26, 27, 28
: , :
22theorem
proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23theorem
proveit.numbers.negation.complex_closure
24instantiation51, 29, 31
: , : , :
25axiom
proveit.logic.equality.equals_reflexivity
26theorem
27instantiation30, 31
:
28instantiation51, 33, 32
: , : , :
29theorem
proveit.numbers.number_sets.complex_numbers.real_within_complex
30theorem
proveit.numbers.negation.real_closure
31instantiation51, 33, 34
: , : , :
32instantiation51, 36, 35
: , : , :
33theorem
proveit.numbers.number_sets.real_numbers.rational_within_real
34instantiation51, 36, 37
: , : , :
35instantiation49, 41
:
36theorem
proveit.numbers.number_sets.rational_numbers.int_within_rational
37instantiation51, 38, 39
: , : , :
38instantiation40, 41, 42
: , :
39assumption
40theorem
proveit.numbers.number_sets.integers.int_interval_within_int
41instantiation51, 52, 43
: , : , :
42instantiation44, 45, 46
: , :
43theorem
proveit.numbers.numerals.decimals.nat1
44theorem
45instantiation51, 47, 48
: , : , :
46instantiation49, 50
:
47theorem
proveit.numbers.number_sets.integers.nat_pos_within_int
48theorem
proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
49theorem
proveit.numbers.negation.int_closure
50instantiation51, 52, 53
: , : , :
51theorem
proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52theorem
proveit.numbers.number_sets.integers.nat_within_int
53theorem
proveit.numbers.numerals.decimals.nat2