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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  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
2instantiation4, 21, 5, 6, 7  ⊢  
  : , : , : , :
3instantiation8, 9, 10, 11  ⊢  
  : , : , : , :
4theorem  ⊢  
 proveit.logic.sets.enumeration.subset_eq_of_superset
5theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
6instantiation27  ⊢  
  : , : , :
7instantiation12  ⊢  
  : , : , : , :
8theorem  ⊢  
 proveit.logic.equality.four_chain_transitivity
9instantiation19, 13, 22, 14, 15, 16  ⊢  
  : , : , : , : , : , : , :
10instantiation19, 22, 20, 21, 17, 18  ⊢  
  : , : , : , : , : , : , :
11instantiation19, 20, 21, 22, 23, 24  ⊢  
  : , : , : , : , : , : , :
12theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
13axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
14theorem  ⊢  
 proveit.numbers.numerals.decimals.nat5
15theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16instantiation25  ⊢  
  : , : , : , : , :
17instantiation26  ⊢  
  : , :
18instantiation27  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.logic.sets.enumeration.leftward_permutation
20theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
21theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
23instantiation26  ⊢  
  : , :
24instantiation27  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
26theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq