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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  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.logic.booleans.conjunction.association
2reference17  ⊢  
3reference16  ⊢  
4reference11  ⊢  
5reference19  ⊢  
6reference13  ⊢  
7instantiation12, 17, 16, 19, 10, 14  ⊢  
  : , : , : , : , :
8instantiation12, 11, 14  ⊢  
  : , : , : , : , :
9instantiation12, 16, 17, 13, 19, 14  ⊢  
  : , : , : , : , :
10instantiation21  ⊢  
  : , :
11theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
12theorem  ⊢  
 proveit.logic.booleans.conjunction.each_is_bool
13instantiation21  ⊢  
  : , :
14instantiation15, 16, 17, 18, 19, 20  ⊢  
  : , : , : , : , :
15theorem  ⊢  
 proveit.logic.booleans.disjunction.each_is_bool
16theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
17axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
18instantiation21  ⊢  
  : , :
19theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
20instantiation22, 23  ⊢  
  :
21theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
22theorem  ⊢  
 proveit.logic.booleans.in_bool_if_true
23assumption  ⊢