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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.numbers.multiplication.mult_complex_closure_bin
2instantiation60, 28, 4  ⊢  
  : , : , :
3instantiation60, 28, 5  ⊢  
  : , : , :
4instantiation30, 6, 7  ⊢  
  : , :
5instantiation60, 8, 9  ⊢  
  : , : , :
6instantiation60, 34, 10  ⊢  
  : , : , :
7instantiation11, 12, 13  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
9instantiation14, 15  ⊢  
  :
10instantiation60, 36, 16  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
12instantiation17, 18  ⊢  
  : , :
13theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
14theorem  ⊢  
 proveit.numbers.absolute_value.abs_complex_closure
15instantiation19, 20, 21  ⊢  
  : , :
16instantiation60, 58, 22  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
19theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
20instantiation60, 28, 23  ⊢  
  : , : , :
21instantiation24, 25  ⊢  
  :
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
23instantiation26, 27  ⊢  
  :
24theorem  ⊢  
 proveit.numbers.negation.complex_closure
25instantiation60, 28, 29  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
27theorem  ⊢  
 proveit.physics.quantum.QPE._best_floor_is_int
28theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
29instantiation30, 31, 32  ⊢  
  : , :
30theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
31instantiation60, 34, 33  ⊢  
  : , : , :
32instantiation60, 34, 35  ⊢  
  : , : , :
33instantiation60, 36, 37  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
35instantiation60, 38, 39  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
37instantiation60, 40, 41  ⊢  
  : , : , :
38theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
39instantiation42, 43, 44  ⊢  
  : , :
40instantiation45, 46, 57  ⊢  
  : , :
41assumption  ⊢  
42theorem  ⊢  
 proveit.numbers.exponentiation.exp_rational_nonzero_closure
43instantiation60, 47, 48  ⊢  
  : , : , :
44instantiation56, 49  ⊢  
  :
45theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
46instantiation50, 51, 52  ⊢  
  : , :
47theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
48instantiation60, 53, 54  ⊢  
  : , : , :
49instantiation60, 61, 55  ⊢  
  : , : , :
50theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
51instantiation56, 57  ⊢  
  :
52instantiation60, 58, 59  ⊢  
  : , : , :
53theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
54theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
55axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
56theorem  ⊢  
 proveit.numbers.negation.int_closure
57instantiation60, 61, 62  ⊢  
  : , : , :
58theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
59theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
60theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
61theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
62theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos