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, 10, 3, 4, 5, 6, 7, 8	, , ,  ⊢
	: , : , : , :
2	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
3	instantiation	11	⊢
	: , : , :
4	instantiation	9, 10	⊢
	:
5	instantiation	11	⊢
	: , : , :
6	assumption		⊢
7	instantiation	12, 13	,  ⊢
	:
8	assumption		⊢
9	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
10	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12	assumption		⊢
13	instantiation	14, 15, 16	⊢
	:
14	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
15	instantiation	29, 17, 27	⊢
	: , : , :
16	instantiation	18, 19	⊢
	: , :
17	instantiation	20, 25, 26	⊢
	: , :
18	theorem		⊢
	proveit.numbers.ordering.relax_less
19	instantiation	21, 22, 23	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
21	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
22	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
23	instantiation	24, 25, 26, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
25	instantiation	29, 30, 28	⊢
	: , : , :
26	instantiation	29, 30, 31	⊢
	: , : , :
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat3