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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.number_sets.integers.pos_int_is_natural_pos
2instantiation31, 4, 12  ⊢  
  : , : , :
3instantiation5, 6, 7  ⊢  
  : , : , :
4instantiation8, 10, 11  ⊢  
  : , :
5theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
6theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
7instantiation9, 10, 11, 12  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
9theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
10instantiation31, 23, 13  ⊢  
  : , : , :
11instantiation25, 14, 15  ⊢  
  : , :
12theorem  ⊢  
 proveit.physics.quantum.QPE._e_value_in_e_domain
13theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
14instantiation16, 19, 17  ⊢  
  : , :
15instantiation18, 19  ⊢  
  :
16theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
17instantiation20, 21, 22  ⊢  
  :
18theorem  ⊢  
 proveit.numbers.negation.int_closure
19instantiation31, 23, 24  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
21instantiation25, 26, 27  ⊢  
  : , :
22instantiation28, 29  ⊢  
  : , :
23theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
24theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
25theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
26instantiation31, 30, 35  ⊢  
  : , : , :
27instantiation31, 32, 33  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.addition.subtraction.nonneg_difference
29instantiation34, 35  ⊢  
  :
30theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
31theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
33instantiation36, 37  ⊢  
  :
34theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
35axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
36theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
37theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1