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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  ⊢  
  : , : , :
1reference34  ⊢  
2theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
3instantiation4, 5, 6  ⊢  
  :
4theorem  ⊢  
 proveit.numbers.number_sets.integers.pos_int_is_natural_pos
5instantiation34, 7, 15  ⊢  
  : , : , :
6instantiation8, 9, 10  ⊢  
  : , : , :
7instantiation11, 13, 14  ⊢  
  : , :
8theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
9theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
10instantiation12, 13, 14, 15  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
12theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
13instantiation34, 26, 16  ⊢  
  : , : , :
14instantiation28, 17, 18  ⊢  
  : , :
15theorem  ⊢  
 proveit.physics.quantum.QPE._e_value_in_e_domain
16theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
17instantiation19, 22, 20  ⊢  
  : , :
18instantiation21, 22  ⊢  
  :
19theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
20instantiation23, 24, 25  ⊢  
  :
21theorem  ⊢  
 proveit.numbers.negation.int_closure
22instantiation34, 26, 27  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
24instantiation28, 29, 30  ⊢  
  : , :
25instantiation31, 32  ⊢  
  : , :
26theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
28theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
29instantiation34, 33, 38  ⊢  
  : , : , :
30instantiation34, 35, 36  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.addition.subtraction.nonneg_difference
32instantiation37, 38  ⊢  
  :
33theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
36instantiation39, 40  ⊢  
  :
37theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
38axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
39theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
40theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1