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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.logic.sets.enumeration.nonmembership_equiv
2reference35  ⊢  
3instantiation12  ⊢  
  : , :
4instantiation18, 5, 6  ⊢  
  : , : , :
5instantiation7, 35, 8, 9, 10, 11  ⊢  
  : , : , : , :
6axiom  ⊢  
 proveit.logic.booleans.conjunction.and_t_f
7axiom  ⊢  
 proveit.core_expr_types.operations.operands_substitution
8instantiation12  ⊢  
  : , :
9instantiation12  ⊢  
  : , :
10instantiation14, 13*  ⊢  
  : , :
11instantiation14, 15*  ⊢  
  : , :
12theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13instantiation18, 16, 17  ⊢  
  : , : , :
14axiom  ⊢  
 proveit.logic.equality.not_equals_def
15instantiation18, 19, 20  ⊢  
  : , : , :
16instantiation22, 21  ⊢  
  : , : , :
17axiom  ⊢  
 proveit.logic.booleans.negation.not_f
18axiom  ⊢  
 proveit.logic.equality.equals_transitivity
19instantiation22, 23  ⊢  
  : , : , :
20axiom  ⊢  
 proveit.logic.booleans.negation.not_t
21instantiation24, 25  ⊢  
  :
22axiom  ⊢  
 proveit.logic.equality.substitution
23instantiation26, 27  ⊢  
  :
24axiom  ⊢  
 proveit.logic.booleans.negation.negation_elim
25instantiation28, 29  ⊢  
  : , :
26axiom  ⊢  
 proveit.logic.booleans.eq_true_intro
27instantiation30  ⊢  
  :
28theorem  ⊢  
 proveit.logic.equality.unfold_not_equals
29instantiation31, 32  ⊢  
  : , :
30axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
31theorem  ⊢  
 proveit.logic.equality.not_equals_symmetry
32instantiation33, 34, 35, 36  ⊢  
  : , :
33theorem  ⊢  
 proveit.numbers.ordering.less_is_not_eq_nat
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
36theorem  ⊢  
 proveit.numbers.numerals.decimals.less_1_2
*equality replacement requirements