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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,  ⊢  
  : , : , :
1reference43  ⊢  
2theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
3instantiation43, 4, 5,  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
5instantiation19, 6, 7,  ⊢  
  :
6instantiation43, 8, 15,  ⊢  
  : , : , :
7instantiation25, 9, 10,  ⊢  
  : , : , :
8instantiation30, 13, 14  ⊢  
  : , :
9instantiation11, 12  ⊢  
  :
10instantiation31, 13, 14, 15,  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
12instantiation16, 17, 29  ⊢  
  : , :
13instantiation36, 20, 32  ⊢  
  : , :
14instantiation36, 37, 18  ⊢  
  : , :
15assumption  ⊢  
16theorem  ⊢  
 proveit.numbers.addition.add_nat_pos_closure_bin
17instantiation19, 20, 21  ⊢  
  :
18instantiation43, 22, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.integers.pos_int_is_natural_pos
20instantiation43, 24, 34  ⊢  
  : , : , :
21instantiation25, 26, 27  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
23instantiation28, 29  ⊢  
  :
24instantiation30, 32, 33  ⊢  
  : , :
25theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
26theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
27instantiation31, 32, 33, 34  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
29theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
30theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
31theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
32instantiation43, 44, 35  ⊢  
  : , : , :
33instantiation36, 37, 38  ⊢  
  : , :
34assumption  ⊢  
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
36theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
37instantiation43, 39, 40  ⊢  
  : , : , :
38instantiation41, 42  ⊢  
  :
39theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
40theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
41theorem  ⊢  
 proveit.numbers.negation.int_closure
42instantiation43, 44, 45  ⊢  
  : , : , :
43theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
45theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2