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