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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  ⊢  
  : , : , :
1reference7  ⊢  
2instantiation7, 3  ⊢  
  : , : , :
3instantiation7, 4  ⊢  
  : , : , :
4instantiation7, 5  ⊢  
  : , : , :
5instantiation7, 6  ⊢  
  : , : , :
6instantiation7, 8  ⊢  
  : , : , :
7axiom  ⊢  
 proveit.logic.equality.substitution
8instantiation9, 10, 11, 12*  ⊢  
  : , :
9theorem  ⊢  
 proveit.numbers.negation.distribute_neg_through_binary_sum
10instantiation33, 20, 13  ⊢  
  : , : , :
11instantiation33, 20, 14  ⊢  
  : , : , :
12instantiation15, 16  ⊢  
  :
13instantiation33, 18, 17  ⊢  
  : , : , :
14instantiation33, 18, 19  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.negation.double_negation
16instantiation33, 20, 21  ⊢  
  : , : , :
17instantiation33, 23, 22  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
19instantiation33, 23, 24  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
21instantiation25, 26, 35  ⊢  
  : , : , :
22instantiation27, 28  ⊢  
  :
23theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
24instantiation33, 29, 30  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
26instantiation31, 32  ⊢  
  : , :
27theorem  ⊢  
 proveit.numbers.negation.int_closure
28instantiation33, 34, 35  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
31theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
32theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
33theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
35assumption  ⊢  
*equality replacement requirements