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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.negation.distribute_neg_through_binary_sum
2instantiation32, 12, 5  ⊢  
  : , : , :
3instantiation32, 12, 6  ⊢  
  : , : , :
4instantiation7, 8  ⊢  
  :
5instantiation9, 13  ⊢  
  :
6instantiation17, 18, 10, 11  ⊢  
  : , :
7theorem  ⊢  
 proveit.numbers.negation.double_negation
8instantiation32, 12, 13  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.negation.real_closure
10instantiation14, 15, 16  ⊢  
  : , : , :
11instantiation26, 16  ⊢  
  :
12theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
13instantiation17, 18, 19, 20  ⊢  
  : , :
14theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
15instantiation21, 22  ⊢  
  : , :
16theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
17theorem  ⊢  
 proveit.numbers.division.div_real_closure
18instantiation32, 24, 23  ⊢  
  : , : , :
19instantiation32, 24, 25  ⊢  
  : , : , :
20instantiation26, 27  ⊢  
  :
21theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
23instantiation32, 29, 28  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
25instantiation32, 29, 30  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
27theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
28instantiation32, 33, 31  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
30instantiation32, 33, 34  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
32theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements