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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.logic.equality.equals_reversal
2instantiation3, 4, 5  ⊢  
  : , : , :
3axiom  ⊢  
 proveit.logic.equality.equals_transitivity
4instantiation6, 7, 8, 36, 9, 10, 14, 11, 13  ⊢  
  : , : , : , : , : , :
5instantiation12, 13, 14, 15  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.addition.disassociation
7axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
8theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
9theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10instantiation16  ⊢  
  : , :
11instantiation34, 19, 17  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_32
13instantiation34, 19, 18  ⊢  
  : , : , :
14instantiation34, 19, 20  ⊢  
  : , : , :
15instantiation21  ⊢  
  :
16theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17instantiation34, 22, 23  ⊢  
  : , : , :
18instantiation34, 25, 24  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
20instantiation34, 25, 26  ⊢  
  : , : , :
21axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_neg_within_real
23instantiation34, 27, 28  ⊢  
  : , : , :
24instantiation34, 30, 29  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
26instantiation34, 30, 31  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
28instantiation34, 32, 33  ⊢  
  : , : , :
29instantiation34, 35, 36  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
31assumption  ⊢  
32theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
33instantiation37, 38  ⊢  
  :
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
37theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
38theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1