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	, , ,  ⊢
	: , : , : , :
1	reference	6	⊢
2	reference	7	⊢
3	instantiation	46, 38, 5	⊢
	: , : , :
4	instantiation	6, 7, 8, 9	, ,  ⊢
	: , : , : , :
5	assumption		⊢
6	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
7	instantiation	10, 13, 14, 15	⊢
	: , : , :
8	instantiation	46, 38, 11	⊢
	: , : , :
9	instantiation	12, 13, 14, 15, 16, 17, 18	,  ⊢
	: , : , : , :
10	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
11	instantiation	19, 20, 21	⊢
	: , :
12	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
14	instantiation	23	⊢
	: , :
15	instantiation	22, 32	⊢
	:
16	instantiation	23	⊢
	: , :
17	instantiation	25, 26, 24	⊢
	: , : , :
18	instantiation	25, 26, 27	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
20	instantiation	46, 29, 28	⊢
	: , : , :
21	instantiation	46, 29, 30	⊢
	: , : , :
22	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24	assumption		⊢
25	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
26	instantiation	31, 32, 33	⊢
	: , : , :
27	assumption		⊢
28	instantiation	46, 35, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	46, 35, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
33	instantiation	37, 38	⊢
	: , :
34	instantiation	46, 39, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	46, 47, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
39	instantiation	42, 43, 44	⊢
	: , :
40	assumption		⊢
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
42	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
43	instantiation	46, 47, 45	⊢
	: , : , :
44	instantiation	46, 47, 48	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat4