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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.multiplication.mult_neg_right
2instantiation4, 5, 6  ⊢  
  : , : , :
3instantiation7, 8, 9, 10  ⊢  
  : , :
4theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
5instantiation21, 11, 17  ⊢  
  : , :
6instantiation12, 13, 42, 14, 15, 16, 22, 23, 17  ⊢  
  : , : , : , : , : , :
7theorem  ⊢  
 proveit.numbers.division.div_complex_closure
8instantiation40, 28, 18  ⊢  
  : , : , :
9instantiation40, 28, 19  ⊢  
  : , : , :
10instantiation20, 37  ⊢  
  :
11instantiation21, 22, 23  ⊢  
  : , :
12theorem  ⊢  
 proveit.numbers.multiplication.disassociation
13axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
14theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
15theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16instantiation24  ⊢  
  : , :
17theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
18instantiation40, 32, 25  ⊢  
  : , : , :
19instantiation40, 32, 26  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
21theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
22instantiation40, 28, 27  ⊢  
  : , : , :
23instantiation40, 28, 29  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25instantiation40, 38, 30  ⊢  
  : , : , :
26instantiation40, 38, 31  ⊢  
  : , : , :
27instantiation40, 32, 33  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
29instantiation40, 34, 35  ⊢  
  : , : , :
30assumption  ⊢  
31instantiation40, 36, 37  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
33instantiation40, 38, 39  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
35theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
36theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
37theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
38theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
39instantiation40, 41, 42  ⊢  
  : , : , :
40theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
42theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2