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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  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
2instantiation4, 5, 13  ⊢  
  : , :
3instantiation6, 7, 8, 70, 9, 10, 11, 12, 13  ⊢  
  : , : , : , : , : , :
4theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
5instantiation71, 39, 14  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.multiplication.disassociation
7axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
8theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
9theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10instantiation15  ⊢  
  : , :
11instantiation71, 39, 17  ⊢  
  : , : , :
12instantiation71, 39, 18  ⊢  
  : , : , :
13instantiation71, 39, 16  ⊢  
  : , : , :
14instantiation41, 17, 18  ⊢  
  : , :
15theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16instantiation71, 19, 20  ⊢  
  : , : , :
17instantiation71, 45, 21  ⊢  
  : , : , :
18instantiation22, 23, 24  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
20instantiation25, 26  ⊢  
  :
21instantiation71, 47, 27  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
23instantiation28, 29  ⊢  
  : , :
24theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
25theorem  ⊢  
 proveit.numbers.absolute_value.abs_complex_closure
26instantiation30, 31, 32  ⊢  
  : , :
27instantiation71, 69, 33  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
29theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
30theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
31instantiation71, 39, 34  ⊢  
  : , : , :
32instantiation35, 36  ⊢  
  :
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
34instantiation37, 38  ⊢  
  :
35theorem  ⊢  
 proveit.numbers.negation.complex_closure
36instantiation71, 39, 40  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
38theorem  ⊢  
 proveit.physics.quantum.QPE._best_floor_is_int
39theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
40instantiation41, 42, 43  ⊢  
  : , :
41theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
42instantiation71, 45, 44  ⊢  
  : , : , :
43instantiation71, 45, 46  ⊢  
  : , : , :
44instantiation71, 47, 48  ⊢  
  : , : , :
45theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
46instantiation71, 49, 50  ⊢  
  : , : , :
47theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
48instantiation71, 51, 52  ⊢  
  : , : , :
49theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
50instantiation53, 54, 55  ⊢  
  : , :
51instantiation56, 57, 68  ⊢  
  : , :
52assumption  ⊢  
53theorem  ⊢  
 proveit.numbers.exponentiation.exp_rational_nonzero_closure
54instantiation71, 58, 59  ⊢  
  : , : , :
55instantiation67, 60  ⊢  
  :
56theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
57instantiation61, 62, 63  ⊢  
  : , :
58theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
59instantiation71, 64, 65  ⊢  
  : , : , :
60instantiation71, 72, 66  ⊢  
  : , : , :
61theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
62instantiation67, 68  ⊢  
  :
63instantiation71, 69, 70  ⊢  
  : , : , :
64theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
65theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
66axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
67theorem  ⊢  
 proveit.numbers.negation.int_closure
68instantiation71, 72, 73  ⊢  
  : , : , :
69theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
70theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
71theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
72theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
73theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos