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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,  ⊢  
  : , : , :
1reference41  ⊢  
2theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
3instantiation17, 4, 5,  ⊢  
  :
4instantiation41, 6, 13,  ⊢  
  : , : , :
5instantiation23, 7, 8,  ⊢  
  : , : , :
6instantiation28, 11, 12  ⊢  
  : , :
7instantiation9, 10  ⊢  
  :
8instantiation29, 11, 12, 13,  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
10instantiation14, 15, 27  ⊢  
  : , :
11instantiation34, 18, 30  ⊢  
  : , :
12instantiation34, 35, 16  ⊢  
  : , :
13assumption  ⊢  
14theorem  ⊢  
 proveit.numbers.addition.add_nat_pos_closure_bin
15instantiation17, 18, 19  ⊢  
  :
16instantiation41, 20, 21  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.integers.pos_int_is_natural_pos
18instantiation41, 22, 32  ⊢  
  : , : , :
19instantiation23, 24, 25  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
21instantiation26, 27  ⊢  
  :
22instantiation28, 30, 31  ⊢  
  : , :
23theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
24theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
25instantiation29, 30, 31, 32  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
27theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
28theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
29theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
30instantiation41, 42, 33  ⊢  
  : , : , :
31instantiation34, 35, 36  ⊢  
  : , :
32assumption  ⊢  
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
34theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
35instantiation41, 37, 38  ⊢  
  : , : , :
36instantiation39, 40  ⊢  
  :
37theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
38theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
39theorem  ⊢  
 proveit.numbers.negation.int_closure
40instantiation41, 42, 43  ⊢  
  : , : , :
41theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
43theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2