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	, , , , , ,  ⊢
	: , : , :
1	reference	9	⊢
2	instantiation	17, 4	, , , , ,  ⊢
	: , : , :
3	instantiation	28, 36, 43, 45, 47, 48, 29, 50, 5, 6*	, , , , , ,  ⊢
	: , : , : , : , : , : , : , : , : , :
4	instantiation	9, 7, 8	, , , , ,  ⊢
	: , : , :
5	instantiation	24, 29, 37, 30	, , , ,  ⊢
	: , : , : , :
6	instantiation	9, 10, 11	, , , , , ,  ⊢
	: , : , :
7	instantiation	28, 36, 43, 12, 13, 48, 14, 51, 52, 53, 15	, , , , ,  ⊢
	: , : , : , : , : , : , : , : , : , :
8	instantiation	17, 16	, , , ,  ⊢
	: , : , :
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	17, 18	, , , , ,  ⊢
	: , : , :
11	instantiation	19, 20, 21, 36, 37, 22*	, , , , , ,  ⊢
	: , : , : , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
13	instantiation	23	⊢
	: , :
14	instantiation	23	⊢
	: , :
15	instantiation	24, 48, 37, 54	,  ⊢
	: , : , : , :
16	instantiation	28, 37, 25, 45, 26, 47, 48, 27, 51, 52, 53, 54	, , , ,  ⊢
	: , : , : , : , : , : , : , : , : , :
17	axiom		⊢
	proveit.logic.equality.substitution
18	instantiation	28, 37, 43, 45, 47, 48, 29, 50, 30, 31*	, , , , ,  ⊢
	: , : , : , : , : , : , : , : , : , :
19	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.doubly_scaled_as_singly_scaled
20	instantiation	39, 32, 33, 48	⊢
	: , : , :
21	instantiation	40, 32, 33, 48, 34, 50, 51, 52, 53, 54	, , , ,  ⊢
	: , : , : , :
22	instantiation	35, 36, 37	,  ⊢
	: , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
26	instantiation	38	⊢
	: , : , :
27	instantiation	38	⊢
	: , : , :
28	theorem		⊢
	proveit.linear_algebra.tensors.factor_scalar_from_tensor_prod
29	instantiation	39, 41, 46, 48	⊢
	: , : , :
30	instantiation	40, 41, 46, 48, 49, 51, 52, 53, 54	, , ,  ⊢
	: , : , : , :
31	instantiation	42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54	, , , ,  ⊢
	: , : , : , : , : , : , : , : , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
33	instantiation	55	⊢
	: , : , : , : , :
34	instantiation	55	⊢
	: , : , : , : , :
35	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
36	instantiation	56, 71, 57	⊢
	: , : , :
37	assumption		⊢
38	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
39	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
40	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
42	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_disassociation
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
45	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
46	instantiation	59	⊢
	: , : , : , :
47	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
48	instantiation	58, 68	⊢
	:
49	instantiation	59	⊢
	: , : , : , :
50	instantiation	64, 65, 60	⊢
	: , : , :
51	instantiation	64, 65, 61	⊢
	: , : , :
52	instantiation	64, 65, 62	⊢
	: , : , :
53	instantiation	64, 65, 63	⊢
	: , : , :
54	instantiation	64, 65, 66	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
56	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
57	assumption		⊢
58	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
59	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
60	assumption		⊢
61	assumption		⊢
62	assumption		⊢
63	assumption		⊢
64	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
65	instantiation	67, 68, 69	⊢
	: , : , :
66	assumption		⊢
67	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
68	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
69	instantiation	70, 71	⊢
	: , :
70	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
71	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
*equality replacement requirements