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  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.disassociation
2reference34  ⊢  
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
4axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
5instantiation10  ⊢  
  : , :
6theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7modus ponens11, 12  ⊢  
8instantiation35, 20, 13  ⊢  
  : , : , :
9instantiation35, 20, 14  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11instantiation15  ⊢  
  : , : , :
12generalization16  ⊢  
13instantiation17, 18, 37  ⊢  
  : , : , :
14instantiation35, 24, 19  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.summation.summation_complex_closure
16instantiation35, 20, 21,  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
18instantiation22, 23  ⊢  
  : , :
19instantiation35, 26, 31  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
21instantiation35, 24, 25,  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
25instantiation35, 26, 27,  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
27instantiation35, 28, 29,  ⊢  
  : , : , :
28instantiation30, 31, 32  ⊢  
  : , :
29assumption  ⊢  
30theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
31instantiation35, 33, 34  ⊢  
  : , : , :
32instantiation35, 36, 37  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
35theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
37assumption  ⊢