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*	, , , , , ,  ⊢
	: , : , : , : , :
1	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.doubly_scaled_as_singly_scaled
2	instantiation	7, 9, 10, 11	⊢
	: , : , :
3	instantiation	8, 9, 10, 11, 12, 13, 14, 15, 16, 17	, , , ,  ⊢
	: , : , : , :
4	reference	19	⊢
5	reference	20	⊢
6	instantiation	18, 19, 20	,  ⊢
	: , :
7	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
8	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
9	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
10	instantiation	22	⊢
	: , : , : , : , :
11	instantiation	21, 33	⊢
	:
12	instantiation	22	⊢
	: , : , : , : , :
13	instantiation	27, 28, 23	⊢
	: , : , :
14	instantiation	27, 28, 24	⊢
	: , : , :
15	instantiation	27, 28, 25	⊢
	: , : , :
16	instantiation	27, 28, 26	⊢
	: , : , :
17	instantiation	27, 28, 29	⊢
	: , : , :
18	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
19	instantiation	30, 36, 31	⊢
	: , : , :
20	assumption		⊢
21	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
23	assumption		⊢
24	assumption		⊢
25	assumption		⊢
26	assumption		⊢
27	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
28	instantiation	32, 33, 34	⊢
	: , : , :
29	assumption		⊢
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	assumption		⊢
32	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
34	instantiation	35, 36	⊢
	: , :
35	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
*equality replacement requirements