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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  ⊢  
  : , :
6instantiation36, 28, 11  ⊢  
  : , : , :
7axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
8theorem  ⊢  
 proveit.numbers.division.div_complex_closure
9instantiation12, 24, 13  ⊢  
  : , :
10instantiation14, 15, 16  ⊢  
  : , : , :
11instantiation17, 18, 19  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
13instantiation36, 28, 20  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
15instantiation21, 22  ⊢  
  :
16instantiation23, 24  ⊢  
  :
17theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
18instantiation25, 26  ⊢  
  : , :
19theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
20instantiation36, 31, 27  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
22theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
23theorem  ⊢  
 proveit.numbers.exponentiation.complex_x_to_first_power_is_x
24instantiation36, 28, 29  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
27instantiation36, 34, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
29instantiation36, 31, 32  ⊢  
  : , : , :
30instantiation36, 37, 33  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
32instantiation36, 34, 35  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
34theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
35instantiation36, 37, 38  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
38theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2