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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, 5  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.division.mult_frac_left
2instantiation31, 14, 6  ⊢  
  : , : , :
3instantiation7, 8, 9  ⊢  
  : , :
4reference9  ⊢  
5instantiation10, 11  ⊢  
  :
6instantiation31, 19, 12  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
8instantiation31, 14, 13  ⊢  
  : , : , :
9instantiation31, 14, 15  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
11theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
12instantiation31, 26, 16  ⊢  
  : , : , :
13instantiation17, 18, 29  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
15instantiation31, 19, 20  ⊢  
  : , : , :
16instantiation21, 22, 23  ⊢  
  : , :
17theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
18instantiation24, 25  ⊢  
  : , :
19theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
20instantiation31, 26, 27  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
22instantiation31, 28, 29  ⊢  
  : , : , :
23instantiation31, 32, 30  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
26theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
27instantiation31, 32, 33  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
29assumption  ⊢  
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
31theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2