Show the Proof

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

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13*	, ,  ⊢
	: , : , : , : , : , : , : , : , : , :
1	reference	28	⊢
2	reference	29	⊢
3	reference	30	⊢
4	reference	22	⊢
5	reference	37	⊢
6	reference	23	⊢
7	instantiation	34, 43, 20, 38	⊢
	: , : , :
8	reference	38	⊢
9	reference	31	⊢
10	instantiation	14, 15, 16	, ,  ⊢
	: , : , :
11	reference	32	⊢
12	reference	40	⊢
13	instantiation	17, 18, 19	, ,  ⊢
	: , : , :
14	theorem		⊢
	proveit.logic.equality.sub_left_side_into
15	instantiation	35, 43, 20, 38, 21, 32, 40, 41	, ,  ⊢
	: , : , : , :
16	instantiation	28, 29, 30, 22, 37, 23, 38, 39, 32, 40, 41	, ,  ⊢
	: , : , : , : , : , : , : , : , : , :
17	axiom		⊢
	proveit.logic.equality.equals_transitivity
18	instantiation	28, 22, 30, 23, 24, 37, 38, 25, 26, 31, 32, 27, 40	, ,  ⊢
	: , : , : , : , : , : , : , : , : , :
19	instantiation	28, 29, 30, 37, 38, 39, 31, 32, 40, 41	, ,  ⊢
	: , : , : , : , : , : , : , : , : , :
20	instantiation	33	⊢
	: , : , :
21	instantiation	33	⊢
	: , : , :
22	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
23	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
24	instantiation	44	⊢
	: , :
25	instantiation	34, 36, 37, 38	⊢
	: , : , :
26	instantiation	44	⊢
	: , :
27	instantiation	35, 36, 37, 38, 39, 40, 41	,  ⊢
	: , : , : , :
28	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_disassociation
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
31	instantiation	44	⊢
	: , :
32	assumption		⊢
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
34	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
35	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
37	instantiation	44	⊢
	: , :
38	instantiation	42, 43	⊢
	:
39	instantiation	44	⊢
	: , :
40	assumption		⊢
41	assumption		⊢
42	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
43	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
44	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
*equality replacement requirements