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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  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_13
2reference14  ⊢  
3instantiation5, 6, 7  ⊢  
  : , :
4instantiation8  ⊢  
  :
5theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
6instantiation9, 14, 10, 11  ⊢  
  : , :
7instantiation37, 29, 12  ⊢  
  : , : , :
8axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
9theorem  ⊢  
 proveit.numbers.division.div_complex_closure
10instantiation13, 25, 14  ⊢  
  : , :
11instantiation15, 16, 17  ⊢  
  : , : , :
12instantiation18, 19, 20  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
14instantiation37, 29, 21  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
16instantiation22, 23  ⊢  
  :
17instantiation24, 25  ⊢  
  :
18theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
19instantiation26, 27  ⊢  
  : , :
20theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
21instantiation37, 32, 28  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
23theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
24theorem  ⊢  
 proveit.numbers.exponentiation.complex_x_to_first_power_is_x
25instantiation37, 29, 30  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
28instantiation37, 35, 31  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
30instantiation37, 32, 33  ⊢  
  : , : , :
31instantiation37, 38, 34  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
33instantiation37, 35, 36  ⊢  
  : , : , :
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