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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*  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.negation.distribute_neg_through_binary_sum
2instantiation25, 12, 5  ⊢  
  : , : , :
3instantiation25, 12, 6  ⊢  
  : , : , :
4instantiation7, 8  ⊢  
  :
5instantiation25, 10, 9  ⊢  
  : , : , :
6instantiation25, 10, 11  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.negation.double_negation
8instantiation25, 12, 13  ⊢  
  : , : , :
9instantiation25, 15, 14  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
11instantiation25, 15, 16  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
13instantiation17, 18, 27  ⊢  
  : , : , :
14instantiation19, 20  ⊢  
  :
15theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
16instantiation25, 21, 22  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
18instantiation23, 24  ⊢  
  : , :
19theorem  ⊢  
 proveit.numbers.negation.int_closure
20instantiation25, 26, 27  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
23theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
25theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
27assumption  ⊢  
*equality replacement requirements