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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  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.equals_transitivity
2instantiation4, 33, 5, 6, 7, 8, 11, 9, 12  ⊢  
  : , : , : , : , : , :
3instantiation10, 11, 12, 13  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.addition.disassociation
5theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
6axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
7instantiation14  ⊢  
  : , :
8theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9instantiation34, 17, 15  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_12
11instantiation34, 17, 16  ⊢  
  : , : , :
12instantiation34, 17, 18  ⊢  
  : , : , :
13instantiation19  ⊢  
  :
14theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15instantiation34, 23, 20  ⊢  
  : , : , :
16instantiation21, 22, 36  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
18instantiation34, 23, 24  ⊢  
  : , : , :
19axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
20instantiation34, 28, 25  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
22instantiation26, 27  ⊢  
  : , :
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
24instantiation34, 28, 29  ⊢  
  : , : , :
25instantiation30, 31  ⊢  
  :
26theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
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  ⊢