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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,  ⊢  
  :
1theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
2instantiation15, 3, 4,  ⊢  
  :
3instantiation35, 5, 11,  ⊢  
  : , : , :
4instantiation19, 6, 7,  ⊢  
  : , : , :
5instantiation22, 10, 29  ⊢  
  : , :
6instantiation8, 9  ⊢  
  :
7instantiation23, 10, 29, 11,  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
9instantiation12, 13, 14  ⊢  
  : , :
10instantiation28, 16, 24  ⊢  
  : , :
11assumption  ⊢  
12theorem  ⊢  
 proveit.numbers.addition.add_nat_pos_closure_bin
13instantiation15, 16, 17  ⊢  
  :
14theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
15theorem  ⊢  
 proveit.numbers.number_sets.integers.pos_int_is_natural_pos
16instantiation35, 18, 26  ⊢  
  : , : , :
17instantiation19, 20, 21  ⊢  
  : , : , :
18instantiation22, 24, 25  ⊢  
  : , :
19theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
20theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
21instantiation23, 24, 25, 26  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
23theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
24instantiation35, 36, 27  ⊢  
  : , : , :
25instantiation28, 29, 30  ⊢  
  : , :
26assumption  ⊢  
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
28theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
29instantiation35, 31, 32  ⊢  
  : , : , :
30instantiation33, 34  ⊢  
  :
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
32theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
33theorem  ⊢  
 proveit.numbers.negation.int_closure
34instantiation35, 36, 37  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2