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