# 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, 5, 6, 7, 8, 9, 10, 11*
: , : , : , : , : , :
1theorem
2reference26
3reference68
4reference27
5instantiation35
: , :
6reference28
7instantiation66, 44, 12
: , : , :
8instantiation13, 34
:
9reference39
10reference29
11instantiation20, 14, 15, 16*
: , : , :
12instantiation17, 45, 41
: , :
13theorem
proveit.numbers.negation.complex_closure
14instantiation30, 18
: , : , :
15instantiation23, 19
: , :
16instantiation20, 21, 22
: , : , :
17theorem
proveit.numbers.multiplication.mult_real_closure_bin
18instantiation23, 24
: , :
19instantiation25, 26, 68, 58, 27, 28, 39, 29, 34
: , : , : , : , : , :
20axiom
proveit.logic.equality.equals_transitivity
21instantiation30, 31
: , : , :
22instantiation32, 34
:
23theorem
proveit.logic.equality.equals_reversal
24instantiation33, 34
:
25theorem
proveit.numbers.multiplication.distribute_through_sum
26axiom
proveit.numbers.number_sets.natural_numbers.zero_in_nats
27theorem
proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28instantiation35
: , :
29instantiation66, 44, 36
: , : , :
30axiom
proveit.logic.equality.substitution
31instantiation37, 38, 39, 40
: , : , :
32theorem
proveit.numbers.multiplication.elim_one_left
33theorem
proveit.numbers.negation.mult_neg_one_left
34instantiation66, 44, 41
: , : , :
35theorem
proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
36instantiation66, 49, 42
: , : , :
37theorem
38instantiation66, 44, 43
: , : , :
39instantiation66, 44, 45
: , : , :
40theorem
41instantiation66, 49, 46
: , : , :
42instantiation66, 52, 47
: , : , :
43instantiation66, 49, 48
: , : , :
44theorem
proveit.numbers.number_sets.complex_numbers.real_within_complex
45instantiation66, 49, 50
: , : , :
46instantiation66, 52, 51
: , : , :
47instantiation64, 56
:
48instantiation66, 52, 56
: , : , :
49theorem
proveit.numbers.number_sets.real_numbers.rational_within_real
50instantiation66, 52, 65
: , : , :
51instantiation66, 53, 54
: , : , :
52theorem
proveit.numbers.number_sets.rational_numbers.int_within_rational
53instantiation55, 56, 57
: , :
54assumption
55theorem
proveit.numbers.number_sets.integers.int_interval_within_int
56instantiation66, 67, 58
: , : , :
57instantiation59, 60, 61
: , :
58theorem
proveit.numbers.numerals.decimals.nat1
59theorem
60instantiation66, 62, 63
: , : , :
61instantiation64, 65
:
62theorem
proveit.numbers.number_sets.integers.nat_pos_within_int
63theorem
proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
64theorem
proveit.numbers.negation.int_closure
65instantiation66, 67, 68
: , : , :
66theorem
proveit.logic.sets.inclusion.superset_membership_from_proper_subset
67theorem
proveit.numbers.number_sets.integers.nat_within_int
68theorem
proveit.numbers.numerals.decimals.nat2
*equality replacement requirements