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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, 41, 4, 5, 6, 7  ⊢  
  : , : , : , : , : , : , : , : , : , :
2generalization8, , ,  ⊢  
3theorem  ⊢  
 proveit.linear_algebra.tensors.tensor_prod_distribution_over_summation
4theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
5theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
6instantiation9, 12, 13, 14  ⊢  
  : , : , :
7instantiation10  ⊢  
  : , :
8instantiation11, 12, 13, 14, 15, 16, 17, 18, 19, , , ,  ⊢  
  : , : , : , :
9theorem  ⊢  
 proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11theorem  ⊢  
 proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
12theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat4
13instantiation22  ⊢  
  : , : , : , :
14instantiation20, 21  ⊢  
  :
15instantiation22  ⊢  
  : , : , : , :
16assumption  ⊢  
17assumption  ⊢  
18instantiation23, 24,  ⊢  
  :
19assumption  ⊢  
20theorem  ⊢  
 proveit.linear_algebra.real_vec_set_is_vec_space
21theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
22theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
23assumption  ⊢  
24instantiation25, 26, 27  ⊢  
  :
25theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
26instantiation42, 28, 40  ⊢  
  : , : , :
27instantiation29, 30  ⊢  
  : , :
28instantiation31, 38, 39  ⊢  
  : , :
29theorem  ⊢  
 proveit.numbers.ordering.relax_less
30instantiation32, 33, 34  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
32theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
33instantiation35, 36  ⊢  
  :
34instantiation37, 38, 39, 40  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
36theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
37theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
38instantiation42, 43, 41  ⊢  
  : , : , :
39instantiation42, 43, 44  ⊢  
  : , : , :
40assumption  ⊢  
41theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
42theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
44theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4