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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  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.equals_transitivity
2instantiation4, 5, 6, 37, 7, 8, 11, 12, 9  ⊢  
  : , : , : , : , : , :
3instantiation10, 11, 12, 13  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.addition.disassociation
5axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
6theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
7theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8instantiation14  ⊢  
  : , :
9instantiation38, 16, 15  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_13
11instantiation38, 16, 20  ⊢  
  : , : , :
12instantiation38, 16, 17  ⊢  
  : , : , :
13instantiation18  ⊢  
  :
14theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15instantiation19, 20  ⊢  
  :
16theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
17instantiation38, 22, 21  ⊢  
  : , : , :
18axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
19theorem  ⊢  
 proveit.numbers.negation.real_closure
20instantiation38, 22, 23  ⊢  
  : , : , :
21instantiation38, 25, 24  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
23instantiation38, 25, 26  ⊢  
  : , : , :
24instantiation38, 27, 28  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
26theorem  ⊢  
 proveit.physics.quantum.QPE._best_floor_is_int
27instantiation29, 30, 35  ⊢  
  : , :
28assumption  ⊢  
29theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
30instantiation31, 32, 33  ⊢  
  : , :
31theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
32instantiation34, 35  ⊢  
  :
33instantiation38, 36, 37  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.negation.int_closure
35instantiation38, 39, 40  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
38theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
40theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos