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	, ,  ⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.equals_reversal
2	modus ponens	3, 4	, ,  ⊢
3	instantiation	5, 13, 14, 6	⊢
	: , : , : , : , : , : , :
4	modus ponens	7, 8	,  ⊢
5	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.distribution_over_vec_sum
6	instantiation	9, 10, 11	⊢
	: , :
7	instantiation	12, 13, 14	⊢
	: , : , : , : , : , :
8	generalization	15	,  ⊢
9	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
10	assumption		⊢
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
12	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
14	instantiation	16, 18, 19, 20	⊢
	: , : , :
15	instantiation	17, 18, 19, 20, 21, 22, 23	,  ⊢
	: , : , : , :
16	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
17	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
19	instantiation	26	⊢
	: , :
20	instantiation	24, 25	⊢
	:
21	instantiation	26	⊢
	: , :
22	assumption		⊢
23	assumption		⊢
24	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq