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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*  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.association
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3reference33  ⊢  
4theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5instantiation12  ⊢  
  : , :
6instantiation12  ⊢  
  : , :
7instantiation42, 30, 13  ⊢  
  : , : , :
8instantiation42, 30, 14  ⊢  
  : , : , :
9reference24  ⊢  
10instantiation15, 24  ⊢  
  :
11instantiation16, 17, 18  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13instantiation42, 36, 19  ⊢  
  : , : , :
14instantiation42, 36, 20  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.negation.complex_closure
16axiom  ⊢  
 proveit.logic.equality.equals_transitivity
17instantiation21, 22  ⊢  
  : , : , :
18instantiation23, 24, 25, 26  ⊢  
  : , : , :
19instantiation42, 39, 27  ⊢  
  : , : , :
20instantiation42, 39, 28  ⊢  
  : , : , :
21axiom  ⊢  
 proveit.logic.equality.substitution
22theorem  ⊢  
 proveit.numbers.numerals.decimals.add_2_3
23theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_23
24instantiation42, 30, 29  ⊢  
  : , : , :
25instantiation42, 30, 31  ⊢  
  : , : , :
26instantiation32  ⊢  
  :
27instantiation42, 43, 33  ⊢  
  : , : , :
28instantiation42, 43, 34  ⊢  
  : , : , :
29instantiation42, 36, 35  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
31instantiation42, 36, 37  ⊢  
  : , : , :
32axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
35instantiation42, 39, 38  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
37instantiation42, 39, 40  ⊢  
  : , : , :
38instantiation42, 43, 41  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
40instantiation42, 43, 44  ⊢  
  : , : , :
41theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
42theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
44theorem  ⊢  
 proveit.numbers.numerals.decimals.nat5
*equality replacement requirements