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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*  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.division.div_as_mult
2reference12  ⊢  
3reference25  ⊢  
4reference21  ⊢  
5instantiation6, 7, 8  ⊢  
  : , : , :
6axiom  ⊢  
 proveit.logic.equality.equals_transitivity
7instantiation9, 10  ⊢  
  : , : , :
8instantiation11, 12, 13  ⊢  
  : , :
9axiom  ⊢  
 proveit.logic.equality.substitution
10instantiation14, 15, 16, 17*  ⊢  
  : , :
11theorem  ⊢  
 proveit.numbers.multiplication.commutation
12instantiation48, 33, 18  ⊢  
  : , : , :
13instantiation19, 20, 25, 21  ⊢  
  : , :
14theorem  ⊢  
 proveit.numbers.exponentiation.neg_power_as_div
15instantiation48, 22, 23  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
17instantiation24, 25  ⊢  
  :
18instantiation26, 27, 28  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.division.div_complex_closure
20instantiation48, 33, 29  ⊢  
  : , : , :
21instantiation30, 44  ⊢  
  :
22theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
23instantiation48, 31, 32  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.exponentiation.complex_x_to_first_power_is_x
25instantiation48, 33, 34  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
27instantiation35, 36  ⊢  
  : , :
28theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
29instantiation48, 40, 37  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
31theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
32instantiation48, 38, 39  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
34instantiation48, 40, 41  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
36theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
37instantiation48, 45, 42  ⊢  
  : , : , :
38theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
39instantiation48, 43, 44  ⊢  
  : , : , :
40theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
41instantiation48, 45, 46  ⊢  
  : , : , :
42instantiation48, 49, 47  ⊢  
  : , : , :
43theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
44theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
45theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
46instantiation48, 49, 50  ⊢  
  : , : , :
47theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
48theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
50theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements