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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, 5, 6, 7  ⊢  
  : , : , : , :
1axiom  ⊢  
 proveit.core_expr_types.operations.operands_substitution
2reference34  ⊢  
3instantiation8  ⊢  
  : , : , :
4instantiation8  ⊢  
  : , : , :
5instantiation11, 9*  ⊢  
  : , :
6instantiation11, 10*  ⊢  
  : , :
7instantiation11, 12*  ⊢  
  : , :
8theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
9instantiation16, 13, 18  ⊢  
  : , : , :
10instantiation16, 14, 15  ⊢  
  : , : , :
11axiom  ⊢  
 proveit.logic.equality.not_equals_def
12instantiation16, 17, 18  ⊢  
  : , : , :
13instantiation21, 19  ⊢  
  : , : , :
14instantiation21, 20  ⊢  
  : , : , :
15axiom  ⊢  
 proveit.logic.booleans.negation.not_t
16axiom  ⊢  
 proveit.logic.equality.equals_transitivity
17instantiation21, 22  ⊢  
  : , : , :
18axiom  ⊢  
 proveit.logic.booleans.negation.not_f
19instantiation26, 23  ⊢  
  :
20instantiation24, 25  ⊢  
  :
21axiom  ⊢  
 proveit.logic.equality.substitution
22instantiation26, 27  ⊢  
  :
23instantiation30, 28  ⊢  
  : , :
24axiom  ⊢  
 proveit.logic.booleans.eq_true_intro
25instantiation29  ⊢  
  :
26axiom  ⊢  
 proveit.logic.booleans.negation.negation_elim
27instantiation30, 31  ⊢  
  : , :
28instantiation32, 33  ⊢  
  : , :
29axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
30theorem  ⊢  
 proveit.logic.equality.unfold_not_equals
31instantiation36, 38, 34, 35  ⊢  
  : , :
32theorem  ⊢  
 proveit.logic.equality.not_equals_symmetry
33instantiation36, 37, 38, 39  ⊢  
  : , :
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
35theorem  ⊢  
 proveit.numbers.numerals.decimals.less_2_3
36theorem  ⊢  
 proveit.numbers.ordering.less_is_not_eq_nat
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
38theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
39theorem  ⊢  
 proveit.numbers.numerals.decimals.less_1_2
*equality replacement requirements