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	reference	18	⊢
2	instantiation	3, 4, 5, 6	, ,  ⊢
	: , : , : , :
3	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
4	instantiation	7, 8, 9, 30, 29	, ,  ⊢
	: , : , : , : , :
5	instantiation	10, 11, 12	,  ⊢
	: , : , :
6	instantiation	13	⊢
	:
7	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.doubly_scaled_as_singly_scaled
8	instantiation	14, 22	⊢
	:
9	instantiation	15, 16, 17	⊢
	: , : , :
10	theorem		⊢
	proveit.logic.equality.sub_left_side_into
11	instantiation	18, 19	,  ⊢
	: , :
12	instantiation	24, 20	,  ⊢
	: , : , :
13	axiom		⊢
	proveit.logic.equality.equals_reflexivity
14	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
15	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
16	instantiation	21, 22, 23	⊢
	: , : , :
17	assumption		⊢
18	theorem		⊢
	proveit.logic.equality.equals_reversal
19	instantiation	24, 25	,  ⊢
	: , : , :
20	instantiation	26, 30, 29	,  ⊢
	: , :
21	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
23	instantiation	27, 33	⊢
	: , :
24	axiom		⊢
	proveit.logic.equality.substitution
25	instantiation	28, 29, 30	,  ⊢
	: , :
26	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
27	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
28	theorem		⊢
	proveit.numbers.multiplication.commutation
29	instantiation	32, 33, 31	⊢
	: , : , :
30	instantiation	32, 33, 34	⊢
	: , : , :
31	assumption		⊢
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
34	assumption		⊢