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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  ⊢  
  : , : , :
1reference41  ⊢  
2theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
3instantiation4, 5, 6  ⊢  
  : , :
4theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
5instantiation7, 8  ⊢  
  :
6instantiation9, 10  ⊢  
  :
7theorem  ⊢  
 proveit.numbers.negation.real_closure
8instantiation11, 12, 13  ⊢  
  : , :
9theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
10theorem  ⊢  
 proveit.physics.quantum.QPE._best_floor_is_int
11theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
12instantiation41, 15, 14  ⊢  
  : , : , :
13instantiation41, 15, 16  ⊢  
  : , : , :
14instantiation41, 17, 18  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
16instantiation41, 19, 20  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
18instantiation41, 21, 22  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
20instantiation23, 24, 25  ⊢  
  : , :
21instantiation26, 27, 38  ⊢  
  : , :
22assumption  ⊢  
23theorem  ⊢  
 proveit.numbers.exponentiation.exp_rational_nonzero_closure
24instantiation41, 28, 29  ⊢  
  : , : , :
25instantiation37, 30  ⊢  
  :
26theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
27instantiation31, 32, 33  ⊢  
  : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
29instantiation41, 34, 35  ⊢  
  : , : , :
30instantiation41, 42, 36  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
32instantiation37, 38  ⊢  
  :
33instantiation41, 39, 40  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
35theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
36axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
37theorem  ⊢  
 proveit.numbers.negation.int_closure
38instantiation41, 42, 43  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
40theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
41theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
43theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos