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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  ⊢  
  : , : , :
1reference6  ⊢  
2instantiation4, 5  ⊢  
  : , : , :
3instantiation6, 7, 8  ⊢  
  : , : , :
4axiom  ⊢  
 proveit.logic.equality.substitution
5instantiation9, 18  ⊢  
  :
6axiom  ⊢  
 proveit.logic.equality.equals_transitivity
7instantiation10, 14, 13, 33, 16, 11, 17, 18  ⊢  
  : , : , : , : , : , :
8instantiation12, 33, 13, 14, 15, 16, 17, 18, 19*  ⊢  
  : , : , : , : , : , :
9theorem  ⊢  
 proveit.numbers.negation.double_negation
10theorem  ⊢  
 proveit.numbers.addition.disassociation
11instantiation20  ⊢  
  : , :
12theorem  ⊢  
 proveit.numbers.addition.association
13theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
14axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
15instantiation20  ⊢  
  : , :
16theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
17instantiation34, 22, 21  ⊢  
  : , : , :
18instantiation34, 22, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.numerals.decimals.add_1_1
20theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21instantiation34, 25, 24  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
23instantiation34, 25, 26  ⊢  
  : , : , :
24instantiation34, 28, 27  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
26instantiation34, 28, 29  ⊢  
  : , : , :
27instantiation30, 31  ⊢  
  :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29instantiation34, 32, 33  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.negation.int_closure
31instantiation34, 35, 36  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
36assumption  ⊢  
*equality replacement requirements