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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  ⊢  
  : , : , :
1reference15  ⊢  
2instantiation4, 32, 5, 6, 7, 8  ⊢  
  : , : , : , :
3axiom  ⊢  
 proveit.logic.booleans.conjunction.and_t_f
4axiom  ⊢  
 proveit.core_expr_types.operations.operands_substitution
5instantiation9  ⊢  
  : , :
6instantiation9  ⊢  
  : , :
7instantiation11, 10*  ⊢  
  : , :
8instantiation11, 12*  ⊢  
  : , :
9theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
10instantiation15, 13, 14  ⊢  
  : , : , :
11axiom  ⊢  
 proveit.logic.equality.not_equals_def
12instantiation15, 16, 17  ⊢  
  : , : , :
13instantiation19, 18  ⊢  
  : , : , :
14axiom  ⊢  
 proveit.logic.booleans.negation.not_f
15axiom  ⊢  
 proveit.logic.equality.equals_transitivity
16instantiation19, 20  ⊢  
  : , : , :
17axiom  ⊢  
 proveit.logic.booleans.negation.not_t
18instantiation21, 22  ⊢  
  :
19axiom  ⊢  
 proveit.logic.equality.substitution
20instantiation23, 24  ⊢  
  :
21axiom  ⊢  
 proveit.logic.booleans.negation.negation_elim
22instantiation25, 26  ⊢  
  : , :
23axiom  ⊢  
 proveit.logic.booleans.eq_true_intro
24instantiation27  ⊢  
  :
25theorem  ⊢  
 proveit.logic.equality.unfold_not_equals
26instantiation28, 29  ⊢  
  : , :
27axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
28theorem  ⊢  
 proveit.logic.equality.not_equals_symmetry
29instantiation30, 31, 32, 33  ⊢  
  : , :
30theorem  ⊢  
 proveit.numbers.ordering.less_is_not_eq_nat
31theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
33theorem  ⊢  
 proveit.numbers.numerals.decimals.less_1_2
*equality replacement requirements