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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
2instantiation29, 6, 5  ⊢  
  : , : , :
3instantiation29, 6, 7  ⊢  
  : , : , :
4instantiation8, 13  ⊢  
  :
5instantiation29, 9, 10  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
7instantiation11, 12, 13  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
9theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
10instantiation29, 14, 15  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
12instantiation16, 17  ⊢  
  : , :
13theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
14theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
15instantiation29, 18, 19  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
18instantiation20, 21, 26  ⊢  
  : , :
19assumption  ⊢  
20theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
21instantiation22, 23, 24  ⊢  
  : , :
22theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
23instantiation25, 26  ⊢  
  :
24instantiation29, 27, 28  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.negation.int_closure
26instantiation29, 30, 31  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
29theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
31theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos