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	, , ,  ⊢
	: , : , : , :
1	theorem		⊢
	proveit.linear_algebra.addition.closure
2	reference	22	⊢
3	instantiation	8, 15, 16, 17	⊢
	: , : , :
4	instantiation	9	⊢
	: , : , :
5	instantiation	14, 15, 16, 17, 10, 19, 11	,  ⊢
	: , : , : , :
6	instantiation	14, 15, 16, 17, 12, 19, 13	,  ⊢
	: , : , : , :
7	instantiation	14, 15, 16, 17, 18, 19, 20	,  ⊢
	: , : , : , :
8	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
10	instantiation	23	⊢
	: , :
11	assumption		⊢
12	instantiation	23	⊢
	: , :
13	assumption		⊢
14	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
16	instantiation	23	⊢
	: , :
17	instantiation	21, 22	⊢
	:
18	instantiation	23	⊢
	: , :
19	assumption		⊢
20	assumption		⊢
21	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq