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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_12
2reference8  ⊢  
3instantiation18, 5  ⊢  
  :
4instantiation6  ⊢  
  :
5instantiation7, 8, 9  ⊢  
  : , :
6axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
7theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
8instantiation34, 25, 10  ⊢  
  : , : , :
9instantiation11, 12, 13  ⊢  
  : , :
10instantiation14, 15, 17, 16  ⊢  
  : , :
11theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
12instantiation34, 25, 17  ⊢  
  : , : , :
13instantiation18, 19  ⊢  
  :
14theorem  ⊢  
 proveit.numbers.division.div_real_closure
15instantiation34, 23, 20  ⊢  
  : , : , :
16instantiation21, 22  ⊢  
  :
17instantiation34, 23, 24  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.negation.complex_closure
19instantiation34, 25, 26  ⊢  
  : , : , :
20instantiation34, 28, 27  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
22theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
24instantiation34, 28, 29  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
26instantiation30, 31, 32  ⊢  
  : , : , :
27instantiation34, 35, 33  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29instantiation34, 35, 36  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
31instantiation37, 38  ⊢  
  : , :
32axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
37theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
38theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real