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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.exponentiation.exp_complex_closure
2instantiation52, 20, 4  ⊢  
  : , : , :
3instantiation52, 20, 5  ⊢  
  : , : , :
4instantiation52, 6, 7  ⊢  
  : , : , :
5instantiation52, 26, 8  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
7instantiation9, 10  ⊢  
  :
8instantiation52, 28, 11  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.absolute_value.abs_complex_closure
10instantiation12, 13, 14  ⊢  
  : , :
11instantiation48, 44  ⊢  
  :
12theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
13instantiation52, 20, 15  ⊢  
  : , : , :
14instantiation16, 17  ⊢  
  :
15instantiation18, 19  ⊢  
  :
16theorem  ⊢  
 proveit.numbers.negation.complex_closure
17instantiation52, 20, 21  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
19theorem  ⊢  
 proveit.physics.quantum.QPE._best_floor_is_int
20theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
21instantiation22, 23, 24  ⊢  
  : , :
22theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
23instantiation52, 26, 25  ⊢  
  : , : , :
24instantiation52, 26, 27  ⊢  
  : , : , :
25instantiation52, 28, 29  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
27instantiation52, 30, 31  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29instantiation52, 32, 33  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
31instantiation34, 35, 36  ⊢  
  : , :
32instantiation37, 38, 49  ⊢  
  : , :
33assumption  ⊢  
34theorem  ⊢  
 proveit.numbers.exponentiation.exp_rational_nonzero_closure
35instantiation52, 39, 40  ⊢  
  : , : , :
36instantiation48, 41  ⊢  
  :
37theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
38instantiation42, 43, 44  ⊢  
  : , :
39theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
40instantiation52, 45, 46  ⊢  
  : , : , :
41instantiation52, 53, 47  ⊢  
  : , : , :
42theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
43instantiation48, 49  ⊢  
  :
44instantiation52, 50, 51  ⊢  
  : , : , :
45theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
46theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
47axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
48theorem  ⊢  
 proveit.numbers.negation.int_closure
49instantiation52, 53, 54  ⊢  
  : , : , :
50theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
51theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
52theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
54theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos