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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, 4,  ⊢  
  : , :
1theorem  ⊢  
 proveit.physics.quantum.QPE._scaled_delta_b_not_eq_nonzeroInt
2instantiation5, 6, 41, 7  ⊢  
  : , : , : , : , :
3reference9,  ⊢  
4instantiation8, 9, 10, 11,  ⊢  
  : , :
5theorem  ⊢  
 proveit.logic.sets.enumeration.in_enumerated_set
6axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
7theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8theorem  ⊢  
 proveit.numbers.ordering.less_is_not_eq_int
9instantiation49, 12, 19,  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
11instantiation13, 14, 15,  ⊢  
  : , : , :
12instantiation36, 17, 18  ⊢  
  : , :
13theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_eq_less
14instantiation16, 17, 18, 19,  ⊢  
  : , : , :
15instantiation20, 21  ⊢  
  :
16theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_upper_bound
17instantiation42, 22, 38  ⊢  
  : , :
18instantiation47, 23  ⊢  
  :
19assumption  ⊢  
20theorem  ⊢  
 proveit.numbers.number_sets.integers.negative_if_in_neg_int
21instantiation24, 25  ⊢  
  :
22instantiation47, 43  ⊢  
  :
23instantiation42, 30, 38  ⊢  
  : , :
24theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
25instantiation26, 27, 28  ⊢  
  : , :
26theorem  ⊢  
 proveit.numbers.addition.add_nat_pos_closure_bin
27instantiation29, 30, 31  ⊢  
  :
28theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
29theorem  ⊢  
 proveit.numbers.number_sets.integers.pos_int_is_natural_pos
30instantiation49, 32, 40  ⊢  
  : , : , :
31instantiation33, 34, 35  ⊢  
  : , : , :
32instantiation36, 38, 39  ⊢  
  : , :
33theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
34theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
35instantiation37, 38, 39, 40  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
37theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
38instantiation49, 50, 41  ⊢  
  : , : , :
39instantiation42, 43, 44  ⊢  
  : , :
40assumption  ⊢  
41theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
42theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
43instantiation49, 45, 46  ⊢  
  : , : , :
44instantiation47, 48  ⊢  
  :
45theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
46theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
47theorem  ⊢  
 proveit.numbers.negation.int_closure
48instantiation49, 50, 51  ⊢  
  : , : , :
49theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
50theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
51theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2