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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_23
2instantiation36, 6, 5  ⊢  
  : , : , :
3instantiation36, 6, 7,  ⊢  
  : , : , :
4instantiation8  ⊢  
  :
5instantiation36, 10, 9  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
7instantiation36, 10, 11,  ⊢  
  : , : , :
8axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
9instantiation36, 12, 22  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
11instantiation36, 12, 13,  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
13instantiation36, 14, 15,  ⊢  
  : , : , :
14instantiation21, 16, 17  ⊢  
  : , :
15assumption  ⊢  
16instantiation36, 18, 19  ⊢  
  : , : , :
17instantiation27, 28, 20  ⊢  
  : , :
18instantiation21, 22, 23  ⊢  
  : , :
19assumption  ⊢  
20instantiation36, 24, 25  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
22instantiation36, 37, 26  ⊢  
  : , : , :
23instantiation27, 28, 29  ⊢  
  : , :
24theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
25instantiation30, 31  ⊢  
  :
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
27theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
28instantiation36, 32, 33  ⊢  
  : , : , :
29instantiation34, 35  ⊢  
  :
30theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
31theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
32theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
33theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
34theorem  ⊢  
 proveit.numbers.negation.int_closure
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