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	, ,  ⊢
	: , : , : , :
1	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
2	reference	67	⊢
3	instantiation	60	⊢
	: , :
4	instantiation	60	⊢
	: , :
5	instantiation	13, 7, 8	⊢
	: , : , :
6	instantiation	28, 74, 30, 29, 31, 32, 61, 9, 10*	, ,  ⊢
	: , : , : , : , : , : , : , : , : , :
7	instantiation	20, 11	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
9	instantiation	12, 32, 74, 64	,  ⊢
	: , : , : , :
10	instantiation	13, 14, 15	, ,  ⊢
	: , : , :
11	instantiation	16, 17, 18, 19	⊢
	: , : , :
12	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
13	axiom		⊢
	proveit.logic.equality.equals_transitivity
14	instantiation	20, 21	, ,  ⊢
	: , : , :
15	instantiation	22, 23, 24, 66, 25*	, ,  ⊢
	: , : , : , : , :
16	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
17	instantiation	73, 76, 26	⊢
	: , : , :
18	instantiation	73, 76, 27	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
20	axiom		⊢
	proveit.logic.equality.substitution
21	instantiation	28, 74, 29, 30, 31, 32, 61, 64	, ,  ⊢
	: , : , : , : , : , : , : , : , : , :
22	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.doubly_scaled_as_singly_scaled
23	instantiation	59, 33	⊢
	:
24	instantiation	62, 34, 35	,  ⊢
	: , : , :
25	instantiation	36, 66, 37*	⊢
	: , :
26	instantiation	73, 39, 38	⊢
	: , : , :
27	instantiation	73, 39, 40	⊢
	: , : , :
28	theorem		⊢
	proveit.linear_algebra.tensors.factor_scalar_from_tensor_prod
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
30	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
31	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
32	instantiation	41, 71	⊢
	:
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
34	instantiation	42, 46, 43, 71, 44*	⊢
	: , : , :
35	instantiation	45, 46, 47, 48, 49, 50, 51	,  ⊢
	: , : , : , :
36	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
37	instantiation	52, 66, 53, 54*, 55*	⊢
	: , : , :
38	instantiation	73, 57, 56	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	73, 57, 58	⊢
	: , : , :
41	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
42	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_cart_exps_within_cart_exp
43	instantiation	60	⊢
	: , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.mult_3_3
45	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
46	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
47	instantiation	60	⊢
	: , :
48	instantiation	59, 71	⊢
	:
49	instantiation	60	⊢
	: , :
50	instantiation	62, 63, 61	⊢
	: , : , :
51	instantiation	62, 63, 64	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
53	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
54	instantiation	65, 66	⊢
	:
55	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
56	instantiation	73, 68, 67	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
58	instantiation	73, 68, 69	⊢
	: , : , :
59	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
60	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
61	assumption		⊢
62	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
63	instantiation	70, 71, 72	⊢
	: , : , :
64	assumption		⊢
65	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
66	instantiation	73, 76, 74	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
68	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
69	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
70	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
71	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
72	instantiation	75, 76	⊢
	: , :
73	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
74	assumption		⊢
75	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
76	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
*equality replacement requirements