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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, 5  ⊢  
  : , : , :
3instantiation6, 32, 7, 8, 9, 10, 11, 12, 14,  ⊢  
  : , : , : , : , : , :
4axiom  ⊢  
 proveit.logic.equality.substitution
5instantiation13, 18, 14  ⊢  
  : , :
6theorem  ⊢  
 proveit.numbers.addition.disassociation
7theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
8axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
9instantiation15  ⊢  
  : , :
10theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11instantiation30, 21, 16  ⊢  
  : , : , :
12instantiation17, 18  ⊢  
  :
13theorem  ⊢  
 proveit.numbers.negation.distribute_neg_through_subtract
14instantiation30, 21, 19  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16instantiation30, 25, 20  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.negation.complex_closure
18instantiation30, 21, 22  ⊢  
  : , : , :
19instantiation30, 25, 23  ⊢  
  : , : , :
20instantiation30, 28, 24  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
22instantiation30, 25, 26  ⊢  
  : , : , :
23instantiation30, 28, 27  ⊢  
  : , : , :
24assumption  ⊢  
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
26instantiation30, 28, 29  ⊢  
  : , : , :
27instantiation30, 31, 32  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29assumption  ⊢  
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1