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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.multiplication.commutation
2instantiation23, 12, 4  ⊢  
  : , : , :
3instantiation5, 6, 7, 8  ⊢  
  : , :
4instantiation23, 9, 10  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.numbers.division.div_complex_closure
6instantiation23, 12, 11  ⊢  
  : , : , :
7instantiation23, 12, 13  ⊢  
  : , : , :
8instantiation14, 15  ⊢  
  :
9theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_neg_within_real
10assumption  ⊢  
11instantiation23, 17, 16  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
13instantiation23, 17, 18  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
15theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
16instantiation23, 20, 19  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation23, 20, 21  ⊢  
  : , : , :
19instantiation23, 24, 22  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
21instantiation23, 24, 25  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
23theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
25theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2