# 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, 3, 4
: , : , : , :
1reference9
2instantiation6, 37, 79, 69, 38, 7, 16, 50, 5
: , : , : , : , : , :
3instantiation6, 79, 37, 7, 8, 38, 16, 50, 17, 40
: , : , : , : , : , :
4instantiation9, 10, 11, 12
: , : , : , :
5instantiation77, 55, 13
: , : , :
6theorem
7instantiation46
: , :
8instantiation46
: , :
9theorem
proveit.logic.equality.four_chain_transitivity
10instantiation14, 69, 16, 50, 17, 40
: , : , : , : , : , : , :
11instantiation19, 37, 79, 38, 15, 39, 16, 17, 50, 40, 18*
: , : , : , : , : , :
12instantiation19, 69, 79, 37, 39, 38, 45, 50, 40, 42*
: , : , : , : , : , :
13instantiation20, 21, 47
: , :
14theorem
15instantiation46
: , :
16instantiation77, 55, 22
: , : , :
17instantiation23, 45
:
18instantiation31, 24, 25, 26*
: , : , :
19theorem
20theorem
21instantiation27, 52
:
22instantiation28, 56, 52
: , :
23theorem
proveit.numbers.negation.complex_closure
24instantiation41, 29
: , : , :
25instantiation34, 30
: , :
26instantiation31, 32, 33
: , : , :
27theorem
proveit.numbers.negation.real_closure
28theorem
proveit.numbers.multiplication.mult_real_closure_bin
29instantiation34, 35
: , :
30instantiation36, 37, 79, 69, 38, 39, 50, 40, 45
: , : , : , : , : , :
31axiom
proveit.logic.equality.equals_transitivity
32instantiation41, 42
: , : , :
33instantiation43, 45
:
34theorem
proveit.logic.equality.equals_reversal
35instantiation44, 45
:
36theorem
proveit.numbers.multiplication.distribute_through_sum
37axiom
proveit.numbers.number_sets.natural_numbers.zero_in_nats
38theorem
proveit.core_expr_types.tuples.tuple_len_0_typical_eq
39instantiation46
: , :
40instantiation77, 55, 47
: , : , :
41axiom
proveit.logic.equality.substitution
42instantiation48, 49, 50, 51
: , : , :
43theorem
proveit.numbers.multiplication.elim_one_left
44theorem
proveit.numbers.negation.mult_neg_one_left
45instantiation77, 55, 52
: , : , :
46theorem
proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
47instantiation77, 60, 53
: , : , :
48theorem
49instantiation77, 55, 54
: , : , :
50instantiation77, 55, 56
: , : , :
51theorem
52instantiation77, 60, 57
: , : , :
53instantiation77, 63, 58
: , : , :
54instantiation77, 60, 59
: , : , :
55theorem
proveit.numbers.number_sets.complex_numbers.real_within_complex
56instantiation77, 60, 61
: , : , :
57instantiation77, 63, 62
: , : , :
58instantiation75, 67
:
59instantiation77, 63, 67
: , : , :
60theorem
proveit.numbers.number_sets.real_numbers.rational_within_real
61instantiation77, 63, 76
: , : , :
62instantiation77, 64, 65
: , : , :
63theorem
proveit.numbers.number_sets.rational_numbers.int_within_rational
64instantiation66, 67, 68
: , :
65assumption
66theorem
proveit.numbers.number_sets.integers.int_interval_within_int
67instantiation77, 78, 69
: , : , :
68instantiation70, 71, 72
: , :
69theorem
proveit.numbers.numerals.decimals.nat1
70theorem
71instantiation77, 73, 74
: , : , :
72instantiation75, 76
:
73theorem
proveit.numbers.number_sets.integers.nat_pos_within_int
74theorem
proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
75theorem
proveit.numbers.negation.int_closure
76instantiation77, 78, 79
: , : , :
77theorem
proveit.logic.sets.inclusion.superset_membership_from_proper_subset
78theorem
proveit.numbers.number_sets.integers.nat_within_int
79theorem
proveit.numbers.numerals.decimals.nat2
*equality replacement requirements