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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*  ⊢  
  : , :
1axiom  ⊢  
 proveit.logic.equality.not_equals_def
2instantiation3, 4  ⊢  
  :
3theorem  ⊢  
 proveit.logic.booleans.negation.falsified_negation_intro
4instantiation5, 6  ⊢  
  : , :
5theorem  ⊢  
 proveit.logic.equality.equals_reversal
6instantiation7, 8, 9  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
8theorem  ⊢  
 proveit.numbers.numerals.decimals.add_3_1
9instantiation10, 11, 12  ⊢  
  : , :
10theorem  ⊢  
 proveit.numbers.addition.commutation
11instantiation23, 14, 13  ⊢  
  : , : , :
12instantiation23, 14, 15  ⊢  
  : , : , :
13instantiation23, 17, 16  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
15instantiation23, 17, 18  ⊢  
  : , : , :
16instantiation23, 20, 19  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation23, 20, 21  ⊢  
  : , : , :
19instantiation23, 24, 22  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
21instantiation23, 24, 25  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
23theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
25theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements