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	25	⊢
2	instantiation	19, 3	, ,  ⊢
	: , :
3	instantiation	4, 5, 6, 7	, ,  ⊢
	: , : , : , :
4	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
5	instantiation	8, 9, 10, 31, 30	, ,  ⊢
	: , : , : , : , :
6	instantiation	11, 12, 13	,  ⊢
	: , : , :
7	instantiation	14	⊢
	:
8	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.doubly_scaled_as_singly_scaled
9	instantiation	15, 23	⊢
	:
10	instantiation	16, 17, 18	⊢
	: , : , :
11	theorem		⊢
	proveit.logic.equality.sub_left_side_into
12	instantiation	19, 20	,  ⊢
	: , :
13	instantiation	25, 21	,  ⊢
	: , : , :
14	axiom		⊢
	proveit.logic.equality.equals_reflexivity
15	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
16	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
17	instantiation	22, 23, 24	⊢
	: , : , :
18	assumption		⊢
19	theorem		⊢
	proveit.logic.equality.equals_reversal
20	instantiation	25, 26	,  ⊢
	: , : , :
21	instantiation	27, 31, 30	,  ⊢
	: , :
22	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
23	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
24	instantiation	28, 34	⊢
	: , :
25	axiom		⊢
	proveit.logic.equality.substitution
26	instantiation	29, 30, 31	,  ⊢
	: , :
27	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
28	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
29	theorem		⊢
	proveit.numbers.multiplication.commutation
30	instantiation	33, 34, 32	⊢
	: , : , :
31	instantiation	33, 34, 35	⊢
	: , : , :
32	assumption		⊢
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
35	assumption		⊢