logo

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, 6  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.divisibility.common_factor_elimination
2instantiation23, 9, 7  ⊢  
  : , : , :
3instantiation23, 9, 8  ⊢  
  : , : , :
4instantiation23, 9, 10  ⊢  
  : , : , :
5assumption  ⊢  
6instantiation11, 12  ⊢  
  :
7instantiation23, 15, 13  ⊢  
  : , : , :
8instantiation23, 15, 14  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
10instantiation23, 15, 16  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
12theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
13instantiation23, 19, 17  ⊢  
  : , : , :
14instantiation23, 19, 18  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
16instantiation23, 19, 20  ⊢  
  : , : , :
17instantiation23, 24, 21  ⊢  
  : , : , :
18instantiation23, 24, 22  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
20instantiation23, 24, 25  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat5
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