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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,  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_eq_less
2instantiation4, 5, 6, 7,  ⊢  
  : , : , :
3instantiation8, 9  ⊢  
  :
4theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_upper_bound
5instantiation30, 10, 26  ⊢  
  : , :
6instantiation35, 11  ⊢  
  :
7assumption  ⊢  
8theorem  ⊢  
 proveit.numbers.number_sets.integers.negative_if_in_neg_int
9instantiation12, 13  ⊢  
  :
10instantiation35, 31  ⊢  
  :
11instantiation30, 18, 26  ⊢  
  : , :
12theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
13instantiation14, 15, 16  ⊢  
  : , :
14theorem  ⊢  
 proveit.numbers.addition.add_nat_pos_closure_bin
15instantiation17, 18, 19  ⊢  
  :
16theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
17theorem  ⊢  
 proveit.numbers.number_sets.integers.pos_int_is_natural_pos
18instantiation37, 20, 28  ⊢  
  : , : , :
19instantiation21, 22, 23  ⊢  
  : , : , :
20instantiation24, 26, 27  ⊢  
  : , :
21theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
22theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
23instantiation25, 26, 27, 28  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
25theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
26instantiation37, 38, 29  ⊢  
  : , : , :
27instantiation30, 31, 32  ⊢  
  : , :
28assumption  ⊢  
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
30theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
31instantiation37, 33, 34  ⊢  
  : , : , :
32instantiation35, 36  ⊢  
  :
33theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
34theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
35theorem  ⊢  
 proveit.numbers.negation.int_closure
36instantiation37, 38, 39  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
39theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2