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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
0modus ponens1, 2, , ,  ⊢  
1instantiation3, 4  ⊢  
  : , : , : , : , : , : , :
2generalization5, , ,  ⊢  
3theorem  ⊢  
 proveit.core_expr_types.lambda_maps.general_lambda_substitution
4theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
5instantiation6, 7, 36, 8, 9, 10, 11, 12, 13, 14, , , ,  ⊢  
  : , : , : , : , : , : , : , : , : , :
6theorem  ⊢  
 proveit.linear_algebra.tensors.tensor_prod_association
7theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
8instantiation17  ⊢  
  : , :
9instantiation15, 16  ⊢  
  :
10instantiation17  ⊢  
  : , :
11assumption  ⊢  
12assumption  ⊢  
13instantiation18, 19,  ⊢  
  :
14assumption  ⊢  
15theorem  ⊢  
 proveit.linear_algebra.real_vec_set_is_vec_space
16theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
17theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18assumption  ⊢  
19instantiation20, 21, 22  ⊢  
  :
20theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
21instantiation37, 23, 35  ⊢  
  : , : , :
22instantiation24, 25  ⊢  
  : , :
23instantiation26, 33, 34  ⊢  
  : , :
24theorem  ⊢  
 proveit.numbers.ordering.relax_less
25instantiation27, 28, 29  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
27theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
28instantiation30, 31  ⊢  
  :
29instantiation32, 33, 34, 35  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
31theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
32theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
33instantiation37, 38, 36  ⊢  
  : , : , :
34instantiation37, 38, 39  ⊢  
  : , : , :
35assumption  ⊢  
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
37theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
39theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4