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  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.negation.neg_times_pos
2instantiation4, 5, 6, 7  ⊢  
  : , :
3instantiation23, 10, 8  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.division.div_complex_closure
5instantiation23, 10, 9  ⊢  
  : , : , :
6instantiation23, 10, 11  ⊢  
  : , : , :
7instantiation12, 13  ⊢  
  :
8instantiation23, 14, 15  ⊢  
  : , : , :
9instantiation23, 17, 16  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
11instantiation23, 17, 18  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
13theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
14theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_neg_within_real
15assumption  ⊢  
16instantiation23, 20, 19  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation23, 20, 21  ⊢  
  : , : , :
19instantiation23, 24, 22  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
21instantiation23, 24, 25  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
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