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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  ⊢  
  : , : , :
1reference29  ⊢  
2theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
3instantiation29, 4, 5  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
5instantiation29, 6, 7  ⊢  
  : , : , :
6instantiation8, 9, 10  ⊢  
  : , :
7theorem  ⊢  
 proveit.physics.quantum.QPE._e_value_in_e_domain
8theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
9instantiation29, 21, 11  ⊢  
  : , : , :
10instantiation23, 12, 13  ⊢  
  : , :
11theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
12instantiation14, 17, 15  ⊢  
  : , :
13instantiation16, 17  ⊢  
  :
14theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
15instantiation18, 19, 20  ⊢  
  :
16theorem  ⊢  
 proveit.numbers.negation.int_closure
17instantiation29, 21, 22  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
19instantiation23, 24, 25  ⊢  
  : , :
20instantiation26, 27  ⊢  
  : , :
21theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
23theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
24instantiation29, 28, 33  ⊢  
  : , : , :
25instantiation29, 30, 31  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.addition.subtraction.nonneg_difference
27instantiation32, 33  ⊢  
  :
28theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
29theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
31instantiation34, 35  ⊢  
  :
32theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
33axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
34theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
35theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1