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, 5, 6, 7	,  ⊢
	: , : , : , :
1	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
2	reference	30	⊢
3	instantiation	8	⊢
	: , :
4	reference	13	⊢
5	instantiation	8	⊢
	: , :
6	assumption		⊢
7	modus ponens	9, 10	⊢
8	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
9	instantiation	11, 12, 13	⊢
	: , : , : , : , : , :
10	generalization	14	⊢
11	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
12	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
13	instantiation	15, 16	⊢
	:
14	instantiation	17, 18	,  ⊢
	:
15	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
17	assumption		⊢
18	instantiation	19, 20, 21	⊢
	:
19	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
20	instantiation	36, 22, 34	⊢
	: , : , :
21	instantiation	23, 24	⊢
	: , :
22	instantiation	25, 32, 33	⊢
	: , :
23	theorem		⊢
	proveit.numbers.ordering.relax_less
24	instantiation	26, 27, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
26	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
27	instantiation	29, 30	⊢
	:
28	instantiation	31, 32, 33, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
31	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
32	instantiation	36, 37, 35	⊢
	: , : , :
33	instantiation	36, 37, 38	⊢
	: , : , :
34	assumption		⊢
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat4