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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  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.division.frac_cancel_left
2instantiation5, 6, 16  ⊢  
  : , :
3instantiation7, 8, 9  ⊢  
  :
4instantiation64, 21, 10  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_nonzero_closure
6instantiation64, 11, 12  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
8instantiation64, 21, 13  ⊢  
  : , : , :
9instantiation14, 15, 16, 17  ⊢  
  : , :
10instantiation25, 18, 27  ⊢  
  : , :
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
12instantiation64, 28, 41  ⊢  
  : , : , :
13instantiation19, 20, 43  ⊢  
  : , :
14theorem  ⊢  
 proveit.numbers.exponentiation.exp_not_eq_zero
15instantiation64, 21, 20  ⊢  
  : , : , :
16instantiation64, 21, 26  ⊢  
  : , : , :
17instantiation22, 23  ⊢  
  :
18instantiation64, 60, 24  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.exponentiation.exp_real_closure_nat_power
20instantiation25, 26, 27  ⊢  
  : , :
21theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
23instantiation64, 28, 29  ⊢  
  : , : , :
24instantiation64, 62, 30  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
26instantiation64, 60, 31  ⊢  
  : , : , :
27instantiation32, 58, 53, 42  ⊢  
  : , :
28theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
29instantiation33, 34, 35  ⊢  
  : , :
30instantiation64, 65, 36  ⊢  
  : , : , :
31instantiation64, 62, 37  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.division.div_real_closure
33theorem  ⊢  
 proveit.numbers.addition.add_real_pos_closure_bin
34instantiation64, 45, 38  ⊢  
  : , : , :
35instantiation39, 40, 41, 42  ⊢  
  : , :
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
37instantiation64, 65, 43  ⊢  
  : , : , :
38instantiation64, 50, 44  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.division.div_real_pos_closure
40instantiation64, 45, 46  ⊢  
  : , : , :
41instantiation47, 53, 54  ⊢  
  :
42instantiation48, 49  ⊢  
  : , :
43theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
44theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
45theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
46instantiation64, 50, 51  ⊢  
  : , : , :
47theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
48theorem  ⊢  
 proveit.logic.equality.not_equals_symmetry
49instantiation52, 57, 53, 54  ⊢  
  : , :
50theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
51theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
52theorem  ⊢  
 proveit.numbers.ordering.less_is_not_eq
53instantiation55, 57, 58, 59  ⊢  
  : , : , :
54instantiation56, 57, 58, 59  ⊢  
  : , : , :
55theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
56theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
57theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
58instantiation64, 60, 61  ⊢  
  : , : , :
59axiom  ⊢  
 proveit.physics.quantum.QPE._eps_in_interval
60theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
61instantiation64, 62, 63  ⊢  
  : , : , :
62theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
63instantiation64, 65, 66  ⊢  
  : , : , :
64theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
65theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
66theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1