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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,  ⊢  
  : , : , : , :
1theorem  ⊢  
 proveit.logic.sets.enumeration.true_for_each_then_true_for_all
2reference31  ⊢  
3instantiation34  ⊢  
  : , :
4instantiation7, 31, 8, 6  ⊢  
  : , : , :
5instantiation7, 31, 8, 9  ⊢  
  : , : , :
6instantiation10, 11, 12, 13  ⊢  
  : , :
7theorem  ⊢  
 proveit.logic.sets.enumeration.fold
8instantiation34  ⊢  
  : , :
9instantiation14, 15, 16, 21  ⊢  
  : , :
10theorem  ⊢  
 proveit.logic.booleans.disjunction.or_if_left
11instantiation17, 18, 19  ⊢  
  : , : , : , : , :
12instantiation20  ⊢  
  : , :
13assumption  ⊢  
14theorem  ⊢  
 proveit.logic.booleans.disjunction.or_if_right
15instantiation20  ⊢  
  : , :
16instantiation22, 21  ⊢  
  :
17theorem  ⊢  
 proveit.logic.booleans.disjunction.each_is_bool
18theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
19instantiation22, 23  ⊢  
  :
20axiom  ⊢  
 proveit.logic.equality.equality_in_bool
21assumption  ⊢  
22theorem  ⊢  
 proveit.logic.booleans.in_bool_if_true
23instantiation24, 25, 26, 27  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.logic.sets.enumeration.unfold
25theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
26instantiation28  ⊢  
  : , : , :
27instantiation29, 30, 31, 32, 33  ⊢  
  : , : , : , : , :
28theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
29theorem  ⊢  
 proveit.logic.sets.enumeration.in_enumerated_set
30axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
31theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
32theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
33instantiation34  ⊢  
  : , :
34theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq