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, 3, 4, 5, 6	, , , , ,  ⊢
	: , : , : , : , :
2	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.doubly_scaled_as_singly_scaled
3	instantiation	7, 27, 9, 10	⊢
	: , : , :
4	instantiation	8, 27, 9, 10, 11, 12, 13, 14	, , ,  ⊢
	: , : , : , :
5	instantiation	48, 33, 15	⊢
	: , : , :
6	instantiation	48, 33, 16	⊢
	: , : , :
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	instantiation	18	⊢
	: , : , :
10	instantiation	17, 27	⊢
	:
11	instantiation	18	⊢
	: , : , :
12	instantiation	21, 22, 19	⊢
	: , : , :
13	instantiation	21, 22, 20	,  ⊢
	: , : , :
14	instantiation	21, 22, 23	⊢
	: , : , :
15	assumption		⊢
16	assumption		⊢
17	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
19	assumption		⊢
20	instantiation	24, 25	,  ⊢
	:
21	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
22	instantiation	26, 27, 28	⊢
	: , : , :
23	assumption		⊢
24	assumption		⊢
25	instantiation	29, 30, 31	⊢
	:
26	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
28	instantiation	32, 33	⊢
	: , :
29	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
30	instantiation	48, 34, 46	⊢
	: , : , :
31	instantiation	35, 36	⊢
	: , :
32	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
34	instantiation	37, 44, 45	⊢
	: , :
35	theorem		⊢
	proveit.numbers.ordering.relax_less
36	instantiation	38, 39, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
38	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
39	instantiation	41, 42	⊢
	:
40	instantiation	43, 44, 45, 46	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
42	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
43	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
44	instantiation	48, 49, 47	⊢
	: , : , :
45	instantiation	48, 49, 50	⊢
	: , : , :
46	assumption		⊢
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat4