# 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
2instantiation7, 3, 4
: , : , :
3instantiation5, 6
: , : , :
4instantiation7, 8, 9
: , : , :
5axiom
proveit.logic.equality.substitution
6instantiation10, 11
:
7axiom
proveit.logic.equality.equals_transitivity
8instantiation12, 39, 49, 15, 17, 16, 13, 18, 19
: , : , : , : , : , :
9instantiation14, 15, 49, 16, 17, 18, 19
: , : , : , :
10theorem
proveit.numbers.multiplication.mult_zero_right
11instantiation47, 26, 20
: , : , :
12theorem
13theorem
proveit.numbers.number_sets.complex_numbers.zero_is_complex
14theorem
15axiom
proveit.numbers.number_sets.natural_numbers.zero_in_nats
16theorem
proveit.core_expr_types.tuples.tuple_len_0_typical_eq
17instantiation21
: , :
18instantiation22, 23
:
19instantiation47, 26, 24
: , : , :
20instantiation47, 29, 25
: , : , :
21theorem
proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
22theorem
proveit.numbers.negation.complex_closure
23instantiation47, 26, 27
: , : , :
24instantiation47, 29, 28
: , : , :
25instantiation47, 32, 46
: , : , :
26theorem
proveit.numbers.number_sets.complex_numbers.real_within_complex
27instantiation47, 29, 30
: , : , :
28instantiation47, 32, 31
: , : , :
29theorem
proveit.numbers.number_sets.real_numbers.rational_within_real
30instantiation47, 32, 33
: , : , :
31instantiation45, 37
:
32theorem
proveit.numbers.number_sets.rational_numbers.int_within_rational
33instantiation47, 34, 35
: , : , :
34instantiation36, 37, 38
: , :
35assumption
36theorem
proveit.numbers.number_sets.integers.int_interval_within_int
37instantiation47, 48, 39
: , : , :
38instantiation40, 41, 42
: , :
39theorem
proveit.numbers.numerals.decimals.nat1
40theorem
41instantiation47, 43, 44
: , : , :
42instantiation45, 46
:
43theorem
proveit.numbers.number_sets.integers.nat_pos_within_int
44theorem
proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
45theorem
proveit.numbers.negation.int_closure
46instantiation47, 48, 49
: , : , :
47theorem
proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48theorem
proveit.numbers.number_sets.integers.nat_within_int
49theorem
proveit.numbers.numerals.decimals.nat2