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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  ⊢  
  : , : , : , :
1axiom  ⊢  
 proveit.core_expr_types.operations.operands_substitution
2reference30  ⊢  
3instantiation7  ⊢  
  : , :
4instantiation7  ⊢  
  : , :
5instantiation9, 8*  ⊢  
  : , :
6instantiation9, 10*  ⊢  
  : , :
7theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
8instantiation13, 11, 12  ⊢  
  : , : , :
9axiom  ⊢  
 proveit.logic.equality.not_equals_def
10instantiation13, 14, 15  ⊢  
  : , : , :
11instantiation17, 16  ⊢  
  : , : , :
12axiom  ⊢  
 proveit.logic.booleans.negation.not_f
13axiom  ⊢  
 proveit.logic.equality.equals_transitivity
14instantiation17, 18  ⊢  
  : , : , :
15axiom  ⊢  
 proveit.logic.booleans.negation.not_t
16instantiation19, 20  ⊢  
  :
17axiom  ⊢  
 proveit.logic.equality.substitution
18instantiation21, 22  ⊢  
  :
19axiom  ⊢  
 proveit.logic.booleans.negation.negation_elim
20instantiation23, 24  ⊢  
  : , :
21axiom  ⊢  
 proveit.logic.booleans.eq_true_intro
22instantiation25  ⊢  
  :
23theorem  ⊢  
 proveit.logic.equality.unfold_not_equals
24instantiation26, 27  ⊢  
  : , :
25axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
26theorem  ⊢  
 proveit.logic.equality.not_equals_symmetry
27instantiation28, 29, 30, 31  ⊢  
  : , :
28theorem  ⊢  
 proveit.numbers.ordering.less_is_not_eq_nat
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
31theorem  ⊢  
 proveit.numbers.numerals.decimals.less_1_2
*equality replacement requirements