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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,  ⊢  
  :
1reference15  ⊢  
2instantiation39, 4, 11,  ⊢  
  : , : , :
3instantiation21, 5, 6,  ⊢  
  : , : , :
4instantiation26, 9, 10  ⊢  
  : , :
5instantiation7, 8  ⊢  
  :
6instantiation27, 9, 10, 11,  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
8instantiation12, 13, 25  ⊢  
  : , :
9instantiation32, 16, 28  ⊢  
  : , :
10instantiation32, 33, 14  ⊢  
  : , :
11assumption  ⊢  
12theorem  ⊢  
 proveit.numbers.addition.add_nat_pos_closure_bin
13instantiation15, 16, 17  ⊢  
  :
14instantiation39, 18, 19  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.integers.pos_int_is_natural_pos
16instantiation39, 20, 30  ⊢  
  : , : , :
17instantiation21, 22, 23  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
19instantiation24, 25  ⊢  
  :
20instantiation26, 28, 29  ⊢  
  : , :
21theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
22theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
23instantiation27, 28, 29, 30  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
25theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
26theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
27theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
28instantiation39, 40, 31  ⊢  
  : , : , :
29instantiation32, 33, 34  ⊢  
  : , :
30assumption  ⊢  
31theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
32theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
33instantiation39, 35, 36  ⊢  
  : , : , :
34instantiation37, 38  ⊢  
  :
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
36theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
37theorem  ⊢  
 proveit.numbers.negation.int_closure
38instantiation39, 40, 41  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
41theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2