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, 7, 8, 9, 10, 11, 12, 13, 14, 15, , , , ,  ⊢  
  : , : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.leftward_commutation
2theorem  ⊢  
 proveit.numbers.numerals.decimals.nat5
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
4axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
5instantiation16  ⊢  
  : , : , : , : , :
6instantiation17  ⊢  
  : , : , : , :
7theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8instantiation28, 19, 18  ⊢  
  : , : , :
9instantiation28, 19, 20  ⊢  
  : , : , :
10assumption  ⊢  
11assumption  ⊢  
12assumption  ⊢  
13assumption  ⊢  
14assumption  ⊢  
15assumption  ⊢  
16theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
17theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
18instantiation28, 22, 21  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
20instantiation28, 22, 23  ⊢  
  : , : , :
21instantiation28, 25, 24  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
23instantiation28, 25, 26  ⊢  
  : , : , :
24instantiation28, 29, 27  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
26instantiation28, 29, 30  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
28theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3