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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.addition.add_real_closure_bin
2instantiation4, 5  ⊢  
  :
3instantiation6, 7  ⊢  
  :
4theorem  ⊢  
 proveit.numbers.negation.real_closure
5instantiation8, 9, 10  ⊢  
  : , :
6theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
7theorem  ⊢  
 proveit.physics.quantum.QPE._best_floor_is_int
8theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
9instantiation38, 12, 11  ⊢  
  : , : , :
10instantiation38, 12, 13  ⊢  
  : , : , :
11instantiation38, 14, 15  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
13instantiation38, 16, 17  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
15instantiation38, 18, 19  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
17instantiation20, 21, 22  ⊢  
  : , :
18instantiation23, 24, 35  ⊢  
  : , :
19assumption  ⊢  
20theorem  ⊢  
 proveit.numbers.exponentiation.exp_rational_nonzero_closure
21instantiation38, 25, 26  ⊢  
  : , : , :
22instantiation34, 27  ⊢  
  :
23theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
24instantiation28, 29, 30  ⊢  
  : , :
25theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
26instantiation38, 31, 32  ⊢  
  : , : , :
27instantiation38, 39, 33  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
29instantiation34, 35  ⊢  
  :
30instantiation38, 36, 37  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
32theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
33axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
34theorem  ⊢  
 proveit.numbers.negation.int_closure
35instantiation38, 39, 40  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
38theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
40theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos