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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, 9, 10  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.logic.booleans.disjunction.association
2reference20  ⊢  
3reference19  ⊢  
4reference22  ⊢  
5reference21  ⊢  
6instantiation24  ⊢  
  : , :
7instantiation18, 20, 19, 22, 11, 23  ⊢  
  : , : , : , : , :
8instantiation18, 12, 23  ⊢  
  : , : , : , : , :
9instantiation13, 19, 12, 21, 16  ⊢  
  : , : , : , : , :
10instantiation13, 14, 20, 15, 22, 16  ⊢  
  : , : , : , : , :
11instantiation24  ⊢  
  : , :
12theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
13theorem  ⊢  
 proveit.logic.booleans.disjunction.each_is_bool
14theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
15instantiation17  ⊢  
  : , : , :
16instantiation18, 19, 20, 21, 22, 23  ⊢  
  : , : , : , : , :
17theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
18theorem  ⊢  
 proveit.logic.booleans.conjunction.each_is_bool
19theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
20axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
21instantiation24  ⊢  
  : , :
22theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23instantiation25, 26  ⊢  
  :
24theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25theorem  ⊢  
 proveit.logic.booleans.in_bool_if_true
26assumption  ⊢