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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,  ⊢  
  :
1theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
2instantiation44, 4, 5  ⊢  
  : , : , :
3instantiation6, 7,  ⊢  
  : , :
4theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
5instantiation8, 9, 16, 10  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.addition.subtraction.nonzero_difference_if_different
7instantiation11, 12, 13, 14,  ⊢  
  : , :
8theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
9instantiation15, 16  ⊢  
  :
10instantiation17, 22  ⊢  
  :
11theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_not_eq_scaledNonzeroInt
12instantiation18, 19, 41, 20  ⊢  
  : , : , : , : , :
13instantiation44, 21, 22  ⊢  
  : , : , :
14assumption  ⊢  
15theorem  ⊢  
 proveit.numbers.negation.real_closure
16instantiation23, 24, 25, 26  ⊢  
  : , :
17theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
18theorem  ⊢  
 proveit.logic.sets.enumeration.in_enumerated_set
19axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
20theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21instantiation27, 28, 40  ⊢  
  : , :
22assumption  ⊢  
23theorem  ⊢  
 proveit.numbers.division.div_real_closure
24instantiation44, 30, 29  ⊢  
  : , : , :
25instantiation44, 30, 31  ⊢  
  : , : , :
26instantiation32, 33  ⊢  
  :
27theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
28instantiation34, 35, 36  ⊢  
  : , :
29instantiation44, 37, 36  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
31instantiation44, 37, 38  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
33theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
34theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
35instantiation39, 40  ⊢  
  :
36instantiation44, 42, 41  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
38instantiation44, 42, 43  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.negation.int_closure
40instantiation44, 45, 46  ⊢  
  : , : , :
41theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
42theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
43theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
44theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
46theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos