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	, , , , ,  ⊢
	: , : , :
2	theorem		⊢
	proveit.logic.equality.sub_left_side_into
3	instantiation	5, 6, 9, 7	, , , , ,  ⊢
	: , : , : , :
4	instantiation	8, 9, 21, 23, 10, 25, 11, 28	, , , , ,  ⊢
	: , : , : , : , : , : , : , : , : , :
5	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
6	instantiation	15, 17, 18, 23	⊢
	: , : , :
7	instantiation	12, 13, 14	, , , ,  ⊢
	: , : , :
8	theorem		⊢
	proveit.linear_algebra.tensors.factor_scalar_from_tensor_prod
9	assumption		⊢
10	instantiation	15, 46, 22, 23	⊢
	: , : , :
11	instantiation	16, 46, 22, 23, 24, 26, 27	, ,  ⊢
	: , : , : , :
12	theorem		⊢
	proveit.logic.equality.sub_right_side_into
13	instantiation	16, 17, 18, 23, 19, 25, 26, 27, 28	, , , ,  ⊢
	: , : , : , :
14	instantiation	20, 21, 51, 22, 23, 24, 25, 26, 27, 28	, , , ,  ⊢
	: , : , : , : , : , : , : , : , : , :
15	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
16	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
18	instantiation	29	⊢
	: , : , : , :
19	instantiation	29	⊢
	: , : , : , :
20	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_association
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
22	instantiation	32	⊢
	: , :
23	instantiation	30, 31	⊢
	:
24	instantiation	32	⊢
	: , :
25	assumption		⊢
26	assumption		⊢
27	instantiation	33, 34	,  ⊢
	:
28	assumption		⊢
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
30	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
33	assumption		⊢
34	instantiation	35, 36, 37	⊢
	:
35	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
36	instantiation	52, 38, 50	⊢
	: , : , :
37	instantiation	39, 40	⊢
	: , :
38	instantiation	41, 48, 49	⊢
	: , :
39	theorem		⊢
	proveit.numbers.ordering.relax_less
40	instantiation	42, 43, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
42	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
43	instantiation	45, 46	⊢
	:
44	instantiation	47, 48, 49, 50	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
46	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
47	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
48	instantiation	52, 53, 51	⊢
	: , : , :
49	instantiation	52, 53, 54	⊢
	: , : , :
50	assumption		⊢
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat4