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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
0instantiation1, 2, 3, , , ,  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
2instantiation4, 37, 5, 18, 6, 20, 21, 7, , , ,  ⊢  
  : , : , : , :
3instantiation8, 9, 10, 11, 12, 13, 23, 14, 15, 16, 17, , , ,  ⊢  
  : , : , : , : , : , : , : , : , : , :
4theorem  ⊢  
 proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
5instantiation30  ⊢  
  : , : , :
6instantiation30  ⊢  
  : , : , :
7instantiation22, 37, 18, 24, 31, 32, 35, ,  ⊢  
  : , : , : , :
8theorem  ⊢  
 proveit.linear_algebra.tensors.tensor_prod_disassociation
9axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
10theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
11theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
12theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13instantiation19  ⊢  
  : , :
14instantiation19  ⊢  
  : , :
15instantiation33, 34, 20  ⊢  
  : , : , :
16instantiation33, 34, 21  ⊢  
  : , : , :
17instantiation22, 37, 23, 24, 25, 26, 27, ,  ⊢  
  : , : , : , :
18instantiation28, 37  ⊢  
  :
19theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20assumption  ⊢  
21assumption  ⊢  
22theorem  ⊢  
 proveit.linear_algebra.addition.closure
23instantiation29, 37  ⊢  
  :
24instantiation30  ⊢  
  : , : , :
25instantiation33, 34, 31  ⊢  
  : , : , :
26instantiation33, 34, 32  ⊢  
  : , : , :
27instantiation33, 34, 35  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.linear_algebra.real_vec_set_is_vec_space
29theorem  ⊢  
 proveit.linear_algebra.complex_vec_set_is_vec_space
30theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
31assumption  ⊢  
32assumption  ⊢  
33theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
34instantiation36, 37, 38  ⊢  
  : , : , :
35assumption  ⊢  
36theorem  ⊢  
 proveit.logic.sets.cartesian_products.cart_exp_subset_eq
37theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
38instantiation39, 40  ⊢  
  : , :
39theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
40theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex