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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,  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.substitution
2instantiation3, 30, 4, 5, 6, 7, 8, 9, 10,  ⊢  
  : , : , : , : , : , :
3theorem  ⊢  
 proveit.numbers.addition.disassociation
4theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
5axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
6instantiation11  ⊢  
  : , :
7theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8instantiation31, 14, 12,  ⊢  
  : , : , :
9instantiation31, 14, 13  ⊢  
  : , : , :
10instantiation31, 14, 15  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12instantiation31, 18, 16,  ⊢  
  : , : , :
13instantiation31, 18, 17  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
15instantiation31, 18, 19  ⊢  
  : , : , :
16instantiation31, 22, 20,  ⊢  
  : , : , :
17instantiation31, 22, 21  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
19instantiation31, 22, 27  ⊢  
  : , : , :
20instantiation31, 23, 24,  ⊢  
  : , : , :
21instantiation25, 28  ⊢  
  :
22theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
23instantiation26, 27, 28  ⊢  
  : , :
24assumption  ⊢  
25theorem  ⊢  
 proveit.numbers.negation.int_closure
26theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
27instantiation31, 29, 30  ⊢  
  : , : , :
28instantiation31, 32, 33  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
31theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
33assumption  ⊢