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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, , , ,  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.equals_transitivity
2instantiation4, 5, , , ,  ⊢  
  : , : , :
3instantiation6, 12, 7, 8,  ⊢  
  : , : , :
4axiom  ⊢  
 proveit.logic.equality.substitution
5instantiation9, 10, 11, 12, 13, ,  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_21
7instantiation26, 19, 14  ⊢  
  : , : , :
8instantiation15  ⊢  
  :
9theorem  ⊢  
 proveit.numbers.addition.subtraction.negated_add
10instantiation26, 16, 17  ⊢  
  : , : , :
11instantiation26, 19, 18  ⊢  
  : , : , :
12instantiation26, 19, 20  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.add_1_2
14instantiation26, 24, 21  ⊢  
  : , : , :
15axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
16theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.complex_nonzero_within_complex
17instantiation26, 22, 23  ⊢  
  : , : , :
18instantiation26, 24, 25  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
20assumption  ⊢  
21assumption  ⊢  
22theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
23instantiation26, 27, 28  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_neg_within_real
25assumption  ⊢  
26theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_neg_within_real_nonzero
28assumption  ⊢