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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.ordering.relax_less
2instantiation3, 4, 5  ⊢  
  : , : , :
3axiom  ⊢  
 proveit.numbers.ordering.transitivity_less_less
4instantiation6, 7  ⊢  
  :
5instantiation8, 31  ⊢  
  :
6theorem  ⊢  
 proveit.numbers.number_sets.integers.negative_if_in_neg_int
7instantiation9, 10  ⊢  
  :
8theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
9theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
10instantiation11, 12, 13  ⊢  
  : , :
11theorem  ⊢  
 proveit.numbers.addition.add_nat_pos_closure_bin
12instantiation14, 15, 16  ⊢  
  :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
14theorem  ⊢  
 proveit.numbers.number_sets.integers.pos_int_is_natural_pos
15instantiation34, 17, 25  ⊢  
  : , : , :
16instantiation18, 19, 20  ⊢  
  : , : , :
17instantiation21, 23, 24  ⊢  
  : , :
18theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
19theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
20instantiation22, 23, 24, 25  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
22theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
23instantiation34, 35, 26  ⊢  
  : , : , :
24instantiation27, 28, 29  ⊢  
  : , :
25assumption  ⊢  
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
27theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
28instantiation34, 30, 31  ⊢  
  : , : , :
29instantiation32, 33  ⊢  
  :
30theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
31theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
32theorem  ⊢  
 proveit.numbers.negation.int_closure
33instantiation34, 35, 36  ⊢  
  : , : , :
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