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.scalar_multiplication.factorization_from_vectors
2	reference	10	⊢
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	instantiation	8	⊢
	: , :
5	assumption		⊢
6	instantiation	20, 21, 9	,  ⊢
	: , : , :
7	instantiation	13, 10, 11, 12	,  ⊢
	: , : , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
9	instantiation	13, 14, 15, 16	,  ⊢
	: , : , : , :
10	instantiation	17, 25	⊢
	:
11	instantiation	18, 28, 19	⊢
	: , : , :
12	instantiation	20, 21, 22	⊢
	: , : , :
13	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
14	instantiation	23, 25	⊢
	:
15	assumption		⊢
16	assumption		⊢
17	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
18	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
19	assumption		⊢
20	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
21	instantiation	24, 25, 26	⊢
	: , : , :
22	assumption		⊢
23	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
24	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
26	instantiation	27, 28	⊢
	: , :
27	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex