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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, 4, 5, 6, 7, 8, 9, 10  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.multiplication.disassociation
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3reference30  ⊢  
4theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5instantiation11  ⊢  
  : , :
6instantiation11  ⊢  
  : , :
7instantiation55, 32, 12  ⊢  
  : , : , :
8instantiation55, 32, 13  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
10instantiation14, 15, 16  ⊢  
  : , :
11theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12instantiation55, 35, 17  ⊢  
  : , : , :
13instantiation55, 18, 19  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
15instantiation55, 32, 20  ⊢  
  : , : , :
16instantiation21, 22  ⊢  
  :
17instantiation55, 40, 23  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
19theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
20instantiation24, 25  ⊢  
  :
21theorem  ⊢  
 proveit.numbers.negation.complex_closure
22instantiation26, 27, 28, 29  ⊢  
  : , :
23instantiation55, 53, 30  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
25theorem  ⊢  
 proveit.physics.quantum.QPE._best_floor_is_int
26theorem  ⊢  
 proveit.numbers.division.div_complex_closure
27instantiation55, 32, 31  ⊢  
  : , : , :
28instantiation55, 32, 33  ⊢  
  : , : , :
29instantiation34, 39  ⊢  
  :
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
31instantiation55, 35, 36  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
33instantiation37, 38, 39  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
35theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
36instantiation55, 40, 41  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
38instantiation42, 43  ⊢  
  : , :
39theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
40theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
41instantiation55, 44, 45  ⊢  
  : , : , :
42theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
43theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
44instantiation46, 47, 52  ⊢  
  : , :
45assumption  ⊢  
46theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
47instantiation48, 49, 50  ⊢  
  : , :
48theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
49instantiation51, 52  ⊢  
  :
50instantiation55, 53, 54  ⊢  
  : , : , :
51theorem  ⊢  
 proveit.numbers.negation.int_closure
52instantiation55, 56, 57  ⊢  
  : , : , :
53theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
54theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
55theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
56theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
57theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos