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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.number_sets.real_numbers.positive_if_in_real_pos
2instantiation3, 4, 5,  ⊢  
  : , :
3theorem  ⊢  
 proveit.numbers.multiplication.mult_real_pos_closure_bin
4theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
5instantiation6, 7,  ⊢  
  :
6theorem  ⊢  
 proveit.numbers.absolute_value.abs_nonzero_closure
7instantiation8, 9, 10,  ⊢  
  :
8theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
9instantiation51, 11, 12  ⊢  
  : , : , :
10instantiation13, 14,  ⊢  
  : , :
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
12instantiation15, 16, 23, 17  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.addition.subtraction.nonzero_difference_if_different
14instantiation18, 19, 20, 21,  ⊢  
  : , :
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
16instantiation22, 23  ⊢  
  :
17instantiation24, 29  ⊢  
  :
18theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_not_eq_scaledNonzeroInt
19instantiation25, 26, 48, 27  ⊢  
  : , : , : , : , :
20instantiation51, 28, 29  ⊢  
  : , : , :
21assumption  ⊢  
22theorem  ⊢  
 proveit.numbers.negation.real_closure
23instantiation30, 31, 32, 33  ⊢  
  : , :
24theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
25theorem  ⊢  
 proveit.logic.sets.enumeration.in_enumerated_set
26axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
27theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28instantiation34, 35, 47  ⊢  
  : , :
29assumption  ⊢  
30theorem  ⊢  
 proveit.numbers.division.div_real_closure
31instantiation51, 37, 36  ⊢  
  : , : , :
32instantiation51, 37, 38  ⊢  
  : , : , :
33instantiation39, 40  ⊢  
  :
34theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
35instantiation41, 42, 43  ⊢  
  : , :
36instantiation51, 44, 43  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
38instantiation51, 44, 45  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
40theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
41theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
42instantiation46, 47  ⊢  
  :
43instantiation51, 49, 48  ⊢  
  : , : , :
44theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
45instantiation51, 49, 50  ⊢  
  : , : , :
46theorem  ⊢  
 proveit.numbers.negation.int_closure
47instantiation51, 52, 53  ⊢  
  : , : , :
48theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
49theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
50theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
51theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
53theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos