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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, 7  ⊢  
  : , :
4axiom  ⊢  
 proveit.logic.equality.substitution
5instantiation8, 11, 10  ⊢  
  : , :
6theorem  ⊢  
 proveit.logic.equality.equals_reversal
7instantiation9, 10, 11, 12, 13  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.multiplication.commutation
9theorem  ⊢  
 proveit.numbers.division.mult_frac_left
10instantiation36, 16, 14  ⊢  
  : , : , :
11instantiation36, 16, 15  ⊢  
  : , : , :
12instantiation36, 16, 17  ⊢  
  : , : , :
13instantiation18, 19  ⊢  
  :
14instantiation36, 23, 20  ⊢  
  : , : , :
15instantiation21, 22, 35  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
17instantiation36, 23, 24  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
19theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
20instantiation36, 28, 25  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
22instantiation26, 27  ⊢  
  : , :
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
24instantiation36, 28, 29  ⊢  
  : , : , :
25instantiation30, 31, 32  ⊢  
  : , :
26theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29instantiation36, 37, 33  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
31instantiation36, 34, 35  ⊢  
  : , : , :
32instantiation36, 37, 38  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
35assumption  ⊢  
36theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
38theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1