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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, 4, 5, 6  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.exponentiation.exp_monotonicity_large_base_less_eq
2reference17  ⊢  
3instantiation7, 10, 11  ⊢  
  : , :
4instantiation38, 23, 8  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.numbers.numerals.decimals.less_1_2
6instantiation9, 10, 11, 12, 13  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
8instantiation38, 32, 14  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.addition.weak_bound_via_right_term_bound
10instantiation25, 26, 29  ⊢  
  : , : , :
11instantiation15, 18  ⊢  
  :
12instantiation15, 17  ⊢  
  :
13instantiation16, 17, 18, 19  ⊢  
  : , :
14instantiation20, 21, 22  ⊢  
  : , :
15theorem  ⊢  
 proveit.numbers.negation.real_closure
16theorem  ⊢  
 proveit.numbers.negation.negated_weak_bound
17instantiation38, 23, 24  ⊢  
  : , : , :
18instantiation25, 26, 27  ⊢  
  : , : , :
19axiom  ⊢  
 proveit.physics.quantum.QPE._n_ge_two
20theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
21instantiation38, 28, 29  ⊢  
  : , : , :
22instantiation38, 30, 31  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
24instantiation38, 32, 33  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
26instantiation34, 35  ⊢  
  : , :
27axiom  ⊢  
 proveit.physics.quantum.QPE._n_in_natural_pos
28theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
29axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
30theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
31instantiation36, 37  ⊢  
  :
32theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
33instantiation38, 39, 40  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
36theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
37theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
38theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
40theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2