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	generalization	1	, , ,  ⊢
1	instantiation	2, 11, 3, 4, 5	, , , ,  ⊢
	: , : , : , : , :
2	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.doubly_scaled_as_singly_scaled
3	instantiation	10, 11, 6, 7	, , ,  ⊢
	: , : , : , :
4	instantiation	50, 42, 8	⊢
	: , : , :
5	instantiation	50, 42, 24	⊢
	: , : , :
6	instantiation	50, 42, 9	⊢
	: , : , :
7	instantiation	10, 11, 12, 13	, ,  ⊢
	: , : , : , :
8	assumption		⊢
9	assumption		⊢
10	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
11	instantiation	14, 17, 18, 19	⊢
	: , : , :
12	instantiation	50, 42, 15	⊢
	: , : , :
13	instantiation	16, 17, 18, 19, 20, 21, 22	,  ⊢
	: , : , : , :
14	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
15	instantiation	23, 24, 25	⊢
	: , :
16	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
18	instantiation	27	⊢
	: , :
19	instantiation	26, 36	⊢
	:
20	instantiation	27	⊢
	: , :
21	instantiation	29, 30, 28	⊢
	: , : , :
22	instantiation	29, 30, 31	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
24	instantiation	50, 33, 32	⊢
	: , : , :
25	instantiation	50, 33, 34	⊢
	: , : , :
26	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
28	assumption		⊢
29	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
30	instantiation	35, 36, 37	⊢
	: , : , :
31	assumption		⊢
32	instantiation	50, 39, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	50, 39, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
37	instantiation	41, 42	⊢
	: , :
38	instantiation	50, 43, 44	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	instantiation	50, 51, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
43	instantiation	46, 47, 48	⊢
	: , :
44	assumption		⊢
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
46	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
47	instantiation	50, 51, 49	⊢
	: , : , :
48	instantiation	50, 51, 52	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
50	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat4