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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.addition.subtraction.add_cancel_basic
2instantiation4, 5, 6  ⊢  
  : , :
3instantiation7  ⊢  
  :
4theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
5instantiation8, 13, 9, 10  ⊢  
  : , :
6instantiation37, 25, 11  ⊢  
  : , : , :
7axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
8theorem  ⊢  
 proveit.numbers.division.div_complex_closure
9instantiation12, 22, 13  ⊢  
  : , :
10instantiation14, 15, 16  ⊢  
  : , : , :
11instantiation37, 30, 17  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
13instantiation37, 25, 18  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
15instantiation19, 20  ⊢  
  :
16instantiation21, 22  ⊢  
  :
17instantiation37, 35, 23  ⊢  
  : , : , :
18instantiation37, 30, 24  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
20theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
21theorem  ⊢  
 proveit.numbers.exponentiation.complex_x_to_first_power_is_x
22instantiation37, 25, 26  ⊢  
  : , : , :
23instantiation27, 36, 28  ⊢  
  : , :
24instantiation37, 35, 29  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
26instantiation37, 30, 31  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
28instantiation37, 32, 33  ⊢  
  : , : , :
29instantiation37, 38, 34  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
31instantiation37, 35, 36  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
33axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
35theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
36instantiation37, 38, 39  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
39theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2