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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, 9  ⊢  
  :
6theorem  ⊢  
 proveit.numbers.addition.elim_zero_left
7instantiation10, 11  ⊢  
  :
8theorem  ⊢  
 proveit.numbers.multiplication.mult_zero_right
9instantiation36, 13, 12  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.negation.complex_closure
11instantiation36, 13, 14  ⊢  
  : , : , :
12instantiation36, 16, 15  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
14instantiation36, 16, 17  ⊢  
  : , : , :
15instantiation36, 18, 19  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
17instantiation20, 21, 22, 23  ⊢  
  : , :
18theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
19instantiation24, 25, 26  ⊢  
  : , :
20theorem  ⊢  
 proveit.numbers.division.div_rational_closure
21instantiation36, 28, 27  ⊢  
  : , : , :
22instantiation36, 28, 29  ⊢  
  : , : , :
23instantiation30, 31  ⊢  
  :
24theorem  ⊢  
 proveit.numbers.division.div_rational_pos_closure
25instantiation36, 33, 32  ⊢  
  : , : , :
26instantiation36, 33, 34  ⊢  
  : , : , :
27instantiation36, 37, 35  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29instantiation36, 37, 38  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
31theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
32theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat5
33theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
34theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat6
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
36theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
38theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3