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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  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.substitution
2instantiation3, 4, 5, 6*  ⊢  
  : , :
3theorem  ⊢  
 proveit.numbers.negation.distribute_neg_through_binary_sum
4instantiation34, 14, 7  ⊢  
  : , : , :
5instantiation34, 14, 8  ⊢  
  : , : , :
6instantiation9, 10  ⊢  
  :
7instantiation11, 15  ⊢  
  :
8instantiation19, 20, 12, 13  ⊢  
  : , :
9theorem  ⊢  
 proveit.numbers.negation.double_negation
10instantiation34, 14, 15  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.negation.real_closure
12instantiation16, 17, 18  ⊢  
  : , : , :
13instantiation28, 18  ⊢  
  :
14theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
15instantiation19, 20, 21, 22  ⊢  
  : , :
16theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
17instantiation23, 24  ⊢  
  : , :
18theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
19theorem  ⊢  
 proveit.numbers.division.div_real_closure
20instantiation34, 26, 25  ⊢  
  : , : , :
21instantiation34, 26, 27  ⊢  
  : , : , :
22instantiation28, 29  ⊢  
  :
23theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
25instantiation34, 31, 30  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
27instantiation34, 31, 32  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
29theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
30instantiation34, 35, 33  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
32instantiation34, 35, 36  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements