logo

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  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.numbers.ordering.transitivity_less_less
2instantiation4, 5  ⊢  
  :
3instantiation6, 29  ⊢  
  :
4theorem  ⊢  
 proveit.numbers.number_sets.integers.negative_if_in_neg_int
5instantiation7, 8  ⊢  
  :
6theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
7theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
8instantiation9, 10, 11  ⊢  
  : , :
9theorem  ⊢  
 proveit.numbers.addition.add_nat_pos_closure_bin
10instantiation12, 13, 14  ⊢  
  :
11theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
12theorem  ⊢  
 proveit.numbers.number_sets.integers.pos_int_is_natural_pos
13instantiation32, 15, 23  ⊢  
  : , : , :
14instantiation16, 17, 18  ⊢  
  : , : , :
15instantiation19, 21, 22  ⊢  
  : , :
16theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
17theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
18instantiation20, 21, 22, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
20theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
21instantiation32, 33, 24  ⊢  
  : , : , :
22instantiation25, 26, 27  ⊢  
  : , :
23assumption  ⊢  
24theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
25theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
26instantiation32, 28, 29  ⊢  
  : , : , :
27instantiation30, 31  ⊢  
  :
28theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
29theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
30theorem  ⊢  
 proveit.numbers.negation.int_closure
31instantiation32, 33, 34  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2