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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  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.equals_transitivity
2instantiation4, 5, 6, 7, 8, 9, 12, 10  ⊢  
  : , : , : , : , : , : , : , :
3instantiation11, 12, 13  ⊢  
  : , :
4theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_general
5theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
6axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
7theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8instantiation33, 16, 14  ⊢  
  : , : , :
9instantiation33, 16, 15  ⊢  
  : , : , :
10instantiation18  ⊢  
  :
11theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_reverse
12instantiation33, 16, 17  ⊢  
  : , : , :
13instantiation18  ⊢  
  :
14instantiation33, 20, 19  ⊢  
  : , : , :
15instantiation33, 20, 21  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
17instantiation22, 23, 35  ⊢  
  : , : , :
18axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
19instantiation33, 25, 24  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
21instantiation33, 25, 26  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
23instantiation27, 28  ⊢  
  : , :
24instantiation29, 30  ⊢  
  :
25theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
26instantiation33, 31, 32  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
28theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
29theorem  ⊢  
 proveit.numbers.negation.int_closure
30instantiation33, 34, 35  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
33theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
35assumption  ⊢