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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.exponentiation.exp_complex_nonzero_closure
2instantiation47, 4, 5  ⊢  
  : , : , :
3instantiation47, 6, 7  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
5instantiation47, 8, 9  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
7instantiation47, 10, 11  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
9instantiation47, 12, 13  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
11instantiation47, 14, 35  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
13instantiation47, 15, 16  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
15theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
16instantiation17, 18, 19  ⊢  
  :
17theorem  ⊢  
 proveit.numbers.number_sets.integers.pos_int_is_natural_pos
18instantiation47, 20, 28  ⊢  
  : , : , :
19instantiation21, 22, 23  ⊢  
  : , : , :
20instantiation24, 26, 27  ⊢  
  : , :
21theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
22theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
23instantiation25, 26, 27, 28  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
25theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
26instantiation47, 39, 29  ⊢  
  : , : , :
27instantiation41, 30, 31  ⊢  
  : , :
28theorem  ⊢  
 proveit.physics.quantum.QPE._e_value_in_e_domain
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
30instantiation32, 35, 33  ⊢  
  : , :
31instantiation34, 35  ⊢  
  :
32theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
33instantiation36, 37, 38  ⊢  
  :
34theorem  ⊢  
 proveit.numbers.negation.int_closure
35instantiation47, 39, 40  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
37instantiation41, 42, 43  ⊢  
  : , :
38instantiation44, 45  ⊢  
  : , :
39theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
40theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
41theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
42instantiation47, 46, 51  ⊢  
  : , : , :
43instantiation47, 48, 49  ⊢  
  : , : , :
44theorem  ⊢  
 proveit.numbers.addition.subtraction.nonneg_difference
45instantiation50, 51  ⊢  
  :
46theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
47theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
49instantiation52, 53  ⊢  
  :
50theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
51axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
52theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
53theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1