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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.absolute_value.abs_nonzero_closure
2instantiation3, 4, 5,  ⊢  
  :
3theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
4instantiation46, 6, 7  ⊢  
  : , : , :
5instantiation8, 9,  ⊢  
  : , :
6theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
7instantiation10, 11, 18, 12  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.addition.subtraction.nonzero_difference_if_different
9instantiation13, 14, 15, 16,  ⊢  
  : , :
10theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
11instantiation17, 18  ⊢  
  :
12instantiation19, 24  ⊢  
  :
13theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_not_eq_scaledNonzeroInt
14instantiation20, 21, 43, 22  ⊢  
  : , : , : , : , :
15instantiation46, 23, 24  ⊢  
  : , : , :
16assumption  ⊢  
17theorem  ⊢  
 proveit.numbers.negation.real_closure
18instantiation25, 26, 27, 28  ⊢  
  : , :
19theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
20theorem  ⊢  
 proveit.logic.sets.enumeration.in_enumerated_set
21axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
22theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23instantiation29, 30, 42  ⊢  
  : , :
24assumption  ⊢  
25theorem  ⊢  
 proveit.numbers.division.div_real_closure
26instantiation46, 32, 31  ⊢  
  : , : , :
27instantiation46, 32, 33  ⊢  
  : , : , :
28instantiation34, 35  ⊢  
  :
29theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
30instantiation36, 37, 38  ⊢  
  : , :
31instantiation46, 39, 38  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
33instantiation46, 39, 40  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
35theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
36theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
37instantiation41, 42  ⊢  
  :
38instantiation46, 44, 43  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
40instantiation46, 44, 45  ⊢  
  : , : , :
41theorem  ⊢  
 proveit.numbers.negation.int_closure
42instantiation46, 47, 48  ⊢  
  : , : , :
43theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
44theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
45theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
46theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
48theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos