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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.division.div_complex_closure
2instantiation40, 6, 5  ⊢  
  : , : , :
3instantiation40, 6, 7  ⊢  
  : , : , :
4instantiation8, 9, 10  ⊢  
  : , :
5instantiation40, 12, 11  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
7instantiation40, 12, 13  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
9instantiation40, 15, 14  ⊢  
  : , : , :
10instantiation40, 15, 16  ⊢  
  : , : , :
11instantiation40, 18, 17  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
13instantiation40, 18, 30  ⊢  
  : , : , :
14instantiation40, 20, 19  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
16instantiation40, 20, 39  ⊢  
  : , : , :
17instantiation21, 22, 23  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
19theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
20theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
21theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
22instantiation24, 25  ⊢  
  : , :
23theorem  ⊢  
 proveit.physics.quantum.QPE._best_floor_is_in_m_domain
24theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
25instantiation26, 27, 28  ⊢  
  : , :
26theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
27theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
28instantiation29, 30, 31  ⊢  
  : , :
29theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
30instantiation32, 33, 34  ⊢  
  : , :
31instantiation35, 36  ⊢  
  :
32theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
33instantiation40, 41, 37  ⊢  
  : , : , :
34instantiation40, 38, 39  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.numbers.negation.int_closure
36instantiation40, 41, 42  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
38theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
39axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
40theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
42theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1