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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.ordering.less_is_not_eq_int
2instantiation42, 5, 12,  ⊢  
  : , : , :
3theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
4instantiation6, 7, 8,  ⊢  
  : , : , :
5instantiation29, 10, 11  ⊢  
  : , :
6theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_eq_less
7instantiation9, 10, 11, 12,  ⊢  
  : , : , :
8instantiation13, 14  ⊢  
  :
9theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_upper_bound
10instantiation35, 15, 31  ⊢  
  : , :
11instantiation40, 16  ⊢  
  :
12assumption  ⊢  
13theorem  ⊢  
 proveit.numbers.number_sets.integers.negative_if_in_neg_int
14instantiation17, 18  ⊢  
  :
15instantiation40, 36  ⊢  
  :
16instantiation35, 23, 31  ⊢  
  : , :
17theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
18instantiation19, 20, 21  ⊢  
  : , :
19theorem  ⊢  
 proveit.numbers.addition.add_nat_pos_closure_bin
20instantiation22, 23, 24  ⊢  
  :
21theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
22theorem  ⊢  
 proveit.numbers.number_sets.integers.pos_int_is_natural_pos
23instantiation42, 25, 33  ⊢  
  : , : , :
24instantiation26, 27, 28  ⊢  
  : , : , :
25instantiation29, 31, 32  ⊢  
  : , :
26theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
27theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
28instantiation30, 31, 32, 33  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
30theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
31instantiation42, 43, 34  ⊢  
  : , : , :
32instantiation35, 36, 37  ⊢  
  : , :
33assumption  ⊢  
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
35theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
36instantiation42, 38, 39  ⊢  
  : , : , :
37instantiation40, 41  ⊢  
  :
38theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
39theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
40theorem  ⊢  
 proveit.numbers.negation.int_closure
41instantiation42, 43, 44  ⊢  
  : , : , :
42theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
44theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2