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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, 11, 12, 13, 14*, ,  ⊢  
  : , : , : , : , : , :
1reference17  ⊢  
2reference18  ⊢  
3reference45  ⊢  
4theorem  ⊢  
 proveit.numbers.numerals.decimals.nat6
5reference20  ⊢  
6instantiation15  ⊢  
  : , : , :
7instantiation16  ⊢  
  : , : , : , : , : , :
8reference22  ⊢  
9reference23  ⊢  
10reference24  ⊢  
11assumption  ⊢  
12assumption  ⊢  
13assumption  ⊢  
14instantiation17, 18, 44, 19, 20, 21, 22, 23, 24, 25*  ⊢  
  : , : , : , : , : , :
15theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
16theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_6_typical_eq
17theorem  ⊢  
 proveit.numbers.addition.association
18axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
19theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
20theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21instantiation26  ⊢  
  : , :
22instantiation46, 29, 27  ⊢  
  : , : , :
23instantiation46, 29, 28  ⊢  
  : , : , :
24instantiation46, 29, 30  ⊢  
  : , : , :
25instantiation31, 32, 33  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27instantiation46, 36, 34  ⊢  
  : , : , :
28instantiation46, 36, 35  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
30instantiation46, 36, 37  ⊢  
  : , : , :
31axiom  ⊢  
 proveit.logic.equality.equals_transitivity
32instantiation38, 39  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.numerals.decimals.add_5_4
34instantiation46, 42, 40  ⊢  
  : , : , :
35instantiation46, 42, 41  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
37instantiation46, 42, 43  ⊢  
  : , : , :
38axiom  ⊢  
 proveit.logic.equality.substitution
39theorem  ⊢  
 proveit.numbers.numerals.decimals.add_2_3
40instantiation46, 47, 44  ⊢  
  : , : , :
41instantiation46, 47, 45  ⊢  
  : , : , :
42theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
43instantiation46, 47, 48  ⊢  
  : , : , :
44theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
45theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
46theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
48theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
*equality replacement requirements