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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  ⊢  
  : , : , :
1reference6  ⊢  
2instantiation6, 3  ⊢  
  : , : , :
3instantiation6, 4  ⊢  
  : , : , :
4instantiation6, 5  ⊢  
  : , : , :
5instantiation6, 7  ⊢  
  : , : , :
6axiom  ⊢  
 proveit.logic.equality.substitution
7instantiation8, 9, 10, 11*  ⊢  
  : , :
8theorem  ⊢  
 proveit.numbers.negation.distribute_neg_through_binary_sum
9instantiation32, 19, 12  ⊢  
  : , : , :
10instantiation32, 19, 13  ⊢  
  : , : , :
11instantiation14, 15  ⊢  
  :
12instantiation32, 17, 16  ⊢  
  : , : , :
13instantiation32, 17, 18  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.negation.double_negation
15instantiation32, 19, 20  ⊢  
  : , : , :
16instantiation32, 22, 21  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation32, 22, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
20instantiation24, 25, 34  ⊢  
  : , : , :
21instantiation26, 27  ⊢  
  :
22theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
23instantiation32, 28, 29  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
25instantiation30, 31  ⊢  
  : , :
26theorem  ⊢  
 proveit.numbers.negation.int_closure
27instantiation32, 33, 34  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
30theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
32theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
34assumption  ⊢  
*equality replacement requirements