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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, , , , ,  ⊢  
  : , : , :
1reference4  ⊢  
2instantiation4, 5, 6, , , , ,  ⊢  
  : , : , :
3instantiation7, 12, 8, 21, 14, 9, 23, 24, 16, 25, 17, 10*, , , , ,  ⊢  
  : , : , : , : , : , :
4axiom  ⊢  
 proveit.logic.equality.equals_transitivity
5instantiation15, 21, 11, 12, 13, 14, 23, 25, 16, 17, 24, , , , ,  ⊢  
  : , : , : , : , : , : , :
6instantiation15, 20, 21, 22, 23, 24, 25, 16, 17, , , , ,  ⊢  
  : , : , : , : , : , : , :
7theorem  ⊢  
 proveit.numbers.multiplication.association
8theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
9instantiation18  ⊢  
  : , : , : , :
10instantiation19, 20, 21, 22, 23, 24, 28, 35, 25, , , ,  ⊢  
  : , : , : , : , : , :
11theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
12axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
13instantiation26  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15theorem  ⊢  
 proveit.numbers.multiplication.leftward_commutation
16instantiation27, 28, 29,  ⊢  
  : , :
17assumption  ⊢  
18theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
19theorem  ⊢  
 proveit.numbers.multiplication.distribute_through_subtract
20theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
21theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
22instantiation30  ⊢  
  : , :
23instantiation40, 32, 31  ⊢  
  : , : , :
24assumption  ⊢  
25instantiation40, 32, 33  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
27theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
28assumption  ⊢  
29instantiation34, 35  ⊢  
  :
30theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
31instantiation40, 37, 36  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
33instantiation40, 37, 38  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.negation.complex_closure
35assumption  ⊢  
36instantiation40, 41, 39  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
38instantiation40, 41, 42  ⊢  
  : , : , :
39assumption  ⊢  
40theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
42assumption  ⊢  
*equality replacement requirements