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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.addition.add_complex_closure_bin
2instantiation37, 14, 4  ⊢  
  : , : , :
3instantiation5, 6  ⊢  
  :
4instantiation7, 8  ⊢  
  :
5theorem  ⊢  
 proveit.numbers.negation.complex_closure
6instantiation9, 10, 11, 12  ⊢  
  : , :
7theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
8theorem  ⊢  
 proveit.physics.quantum.QPE._best_floor_is_int
9theorem  ⊢  
 proveit.numbers.division.div_complex_closure
10instantiation37, 14, 13  ⊢  
  : , : , :
11instantiation37, 14, 15  ⊢  
  : , : , :
12instantiation16, 21  ⊢  
  :
13instantiation37, 17, 18  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
15instantiation19, 20, 21  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation37, 22, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
20instantiation24, 25  ⊢  
  : , :
21theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
22theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
23instantiation37, 26, 27  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
26instantiation28, 29, 34  ⊢  
  : , :
27assumption  ⊢  
28theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
29instantiation30, 31, 32  ⊢  
  : , :
30theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
31instantiation33, 34  ⊢  
  :
32instantiation37, 35, 36  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.negation.int_closure
34instantiation37, 38, 39  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
37theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
39theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos