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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, 4, 5, 6, 7, 8, 9  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.disassociation
2reference29  ⊢  
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
4axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
5instantiation10  ⊢  
  : , :
6theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7instantiation30, 13, 11  ⊢  
  : , : , :
8instantiation30, 13, 12  ⊢  
  : , : , :
9instantiation30, 13, 14  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11instantiation30, 15, 16  ⊢  
  : , : , :
12instantiation17, 18, 19  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
14instantiation30, 20, 21  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
16instantiation30, 22, 23  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
18instantiation24, 25  ⊢  
  : , :
19assumption  ⊢  
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_neg_within_real
21instantiation30, 26, 27  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
23instantiation30, 28, 29  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
27instantiation30, 31, 32  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
32instantiation33, 34  ⊢  
  :
33theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
34theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1