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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, 7, 8  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.logic.booleans.disjunction.disassociation
2reference10  ⊢  
3reference17  ⊢  
4reference19  ⊢  
5instantiation11, 17, 10, 19, 14  ⊢  
  : , : , : , : , :
6instantiation16, 18, 17, 20, 9, 21  ⊢  
  : , : , : , : , :
7instantiation16, 10, 21  ⊢  
  : , : , : , : , :
8instantiation11, 12, 18, 13, 20, 14  ⊢  
  : , : , : , : , :
9instantiation22  ⊢  
  : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
11theorem  ⊢  
 proveit.logic.booleans.disjunction.each_is_bool
12theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
13instantiation15  ⊢  
  : , : , :
14instantiation16, 17, 18, 19, 20, 21  ⊢  
  : , : , : , : , :
15theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
16theorem  ⊢  
 proveit.logic.booleans.conjunction.each_is_bool
17theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
18axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
19instantiation22  ⊢  
  : , :
20theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21instantiation23, 24  ⊢  
  :
22theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23theorem  ⊢  
 proveit.logic.booleans.in_bool_if_true
24assumption  ⊢