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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.unification.membership_folding
2theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
3instantiation20  ⊢  
  : , :
4instantiation5, 6, 7  ⊢  
  : , :
5theorem  ⊢  
 proveit.logic.booleans.disjunction.or_if_both
6instantiation11, 8, 9, 10  ⊢  
  : , : , :
7instantiation11, 12, 13, 14  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
9instantiation15  ⊢  
  : , : , :
10instantiation16, 17, 18, 22, 19, 24  ⊢  
  : , : , : , : , :
11theorem  ⊢  
 proveit.logic.sets.enumeration.fold
12theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
13instantiation20  ⊢  
  : , :
14instantiation21, 22, 23, 24  ⊢  
  : , :
15theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
16theorem  ⊢  
 proveit.logic.booleans.disjunction.or_if_any
17theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
18instantiation25  ⊢  
  : , :
19instantiation25  ⊢  
  : , :
20theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21theorem  ⊢  
 proveit.logic.booleans.disjunction.or_if_left
22instantiation25  ⊢  
  : , :
23instantiation25  ⊢  
  : , :
24instantiation26, 27, 28  ⊢  
  : , : , :
25axiom  ⊢  
 proveit.logic.equality.equality_in_bool
26theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
27assumption  ⊢  
28theorem  ⊢  
 proveit.numbers.numerals.decimals.add_1_1