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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
2instantiation28, 8, 6  ⊢  
  : , : , :
3instantiation28, 8, 7  ⊢  
  : , : , :
4instantiation28, 8, 9  ⊢  
  : , : , :
5instantiation10, 11  ⊢  
  :
6instantiation28, 15, 12  ⊢  
  : , : , :
7instantiation13, 14, 27  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
9instantiation28, 15, 16  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
11theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
12instantiation28, 20, 17  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
14instantiation18, 19  ⊢  
  : , :
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
16instantiation28, 20, 21  ⊢  
  : , : , :
17instantiation22, 23, 24  ⊢  
  : , :
18theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
19theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
20theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
21instantiation28, 29, 25  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
23instantiation28, 26, 27  ⊢  
  : , : , :
24instantiation28, 29, 30  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
26theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
27assumption  ⊢  
28theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1