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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, 7, 8, 9, 16, 12, 10  ⊢  
  : , : , : , : , : , :
3instantiation11, 16, 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.numbers.numerals.decimals.nat1
8theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9instantiation14  ⊢  
  : , :
10instantiation15, 16  ⊢  
  :
11theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_13
12instantiation33, 25, 17  ⊢  
  : , : , :
13instantiation18  ⊢  
  :
14theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15theorem  ⊢  
 proveit.numbers.negation.complex_closure
16instantiation19, 20, 21, 22  ⊢  
  : , :
17instantiation23, 35  ⊢  
  :
18axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
19theorem  ⊢  
 proveit.numbers.division.div_complex_closure
20instantiation33, 25, 24  ⊢  
  : , : , :
21instantiation33, 25, 26  ⊢  
  : , : , :
22instantiation27, 32  ⊢  
  :
23theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
24instantiation33, 28, 29  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
26instantiation30, 31, 32  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
28theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
29instantiation33, 34, 35  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
31instantiation36, 37  ⊢  
  : , :
32theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
33theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
35theorem  ⊢  
 proveit.physics.quantum.QPE._best_round_is_int
36theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
37theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real