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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  ⊢  
  : , : , :
1reference5  ⊢  
2instantiation5, 3  ⊢  
  : , : , :
3instantiation5, 4  ⊢  
  : , : , :
4instantiation5, 6  ⊢  
  : , : , :
5axiom  ⊢  
 proveit.logic.equality.substitution
6instantiation7, 8, 9, 10*  ⊢  
  : , :
7theorem  ⊢  
 proveit.numbers.negation.distribute_neg_through_binary_sum
8instantiation31, 18, 11  ⊢  
  : , : , :
9instantiation31, 18, 12  ⊢  
  : , : , :
10instantiation13, 14  ⊢  
  :
11instantiation31, 16, 15  ⊢  
  : , : , :
12instantiation31, 16, 17  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.negation.double_negation
14instantiation31, 18, 19  ⊢  
  : , : , :
15instantiation31, 21, 20  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
17instantiation31, 21, 22  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
19instantiation23, 24, 33  ⊢  
  : , : , :
20instantiation25, 26  ⊢  
  :
21theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
22instantiation31, 27, 28  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
24instantiation29, 30  ⊢  
  : , :
25theorem  ⊢  
 proveit.numbers.negation.int_closure
26instantiation31, 32, 33  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
29theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
30theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
31theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
33assumption  ⊢  
*equality replacement requirements