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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.logic.equality.equals_reversal
2instantiation3, 4, 5  ⊢  
  : , :
3theorem  ⊢  
 proveit.numbers.multiplication.mult_neg_right
4instantiation6, 7, 8  ⊢  
  : , : , :
5instantiation9, 10, 11, 12  ⊢  
  : , :
6theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
7instantiation23, 13, 19  ⊢  
  : , :
8instantiation14, 15, 44, 16, 17, 18, 24, 25, 19  ⊢  
  : , : , : , : , : , :
9theorem  ⊢  
 proveit.numbers.division.div_complex_closure
10instantiation42, 30, 20  ⊢  
  : , : , :
11instantiation42, 30, 21  ⊢  
  : , : , :
12instantiation22, 39  ⊢  
  :
13instantiation23, 24, 25  ⊢  
  : , :
14theorem  ⊢  
 proveit.numbers.multiplication.disassociation
15axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
16theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
17theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18instantiation26  ⊢  
  : , :
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
20instantiation42, 34, 27  ⊢  
  : , : , :
21instantiation42, 34, 28  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
23theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
24instantiation42, 30, 29  ⊢  
  : , : , :
25instantiation42, 30, 31  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27instantiation42, 40, 32  ⊢  
  : , : , :
28instantiation42, 40, 33  ⊢  
  : , : , :
29instantiation42, 34, 35  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
31instantiation42, 36, 37  ⊢  
  : , : , :
32assumption  ⊢  
33instantiation42, 38, 39  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
35instantiation42, 40, 41  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
37theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
38theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
39theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
40theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
41instantiation42, 43, 44  ⊢  
  : , : , :
42theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
44theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2