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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  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.substitution
2instantiation3, 4, 5, 6*  ⊢  
  : , :
3theorem  ⊢  
 proveit.numbers.negation.distribute_neg_through_binary_sum
4instantiation27, 14, 7  ⊢  
  : , : , :
5instantiation27, 14, 8  ⊢  
  : , : , :
6instantiation9, 10  ⊢  
  :
7instantiation27, 12, 11  ⊢  
  : , : , :
8instantiation27, 12, 13  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.negation.double_negation
10instantiation27, 14, 15  ⊢  
  : , : , :
11instantiation27, 17, 16  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
13instantiation27, 17, 18  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
15instantiation19, 20, 29  ⊢  
  : , : , :
16instantiation21, 22  ⊢  
  :
17theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
18instantiation27, 23, 24  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
20instantiation25, 26  ⊢  
  : , :
21theorem  ⊢  
 proveit.numbers.negation.int_closure
22instantiation27, 28, 29  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
24theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
25theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
27theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
29assumption  ⊢  
*equality replacement requirements