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	18	⊢
2	instantiation	4, 77, 5, 6, 7, 8	, ,  ⊢
	: , : , : , :
3	instantiation	29, 30, 31, 14, 15, 9*	, ,  ⊢
	: , : , : , : , :
4	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
5	instantiation	70	⊢
	: , :
6	instantiation	70	⊢
	: , :
7	instantiation	18, 10, 11	⊢
	: , : , :
8	instantiation	36, 84, 38, 37, 39, 40, 71, 12, 13*	, ,  ⊢
	: , : , : , : , : , : , : , : , : , :
9	instantiation	44, 14, 15	⊢
	: , :
10	instantiation	27, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
12	instantiation	17, 40, 84, 74	,  ⊢
	: , : , : , :
13	instantiation	18, 19, 20	, ,  ⊢
	: , : , :
14	instantiation	83, 86, 21	⊢
	: , : , :
15	instantiation	22, 76, 24	⊢
	: , :
16	instantiation	23, 24, 25, 26	⊢
	: , : , :
17	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
18	axiom		⊢
	proveit.logic.equality.equals_transitivity
19	instantiation	27, 28	, ,  ⊢
	: , : , :
20	instantiation	29, 30, 31, 76, 32*	, ,  ⊢
	: , : , : , : , :
21	instantiation	83, 48, 33	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
23	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
24	instantiation	83, 86, 34	⊢
	: , : , :
25	instantiation	83, 86, 35	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
27	axiom		⊢
	proveit.logic.equality.substitution
28	instantiation	36, 84, 37, 38, 39, 40, 71, 74	, ,  ⊢
	: , : , : , : , : , : , : , : , : , :
29	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.doubly_scaled_as_singly_scaled
30	instantiation	69, 41	⊢
	:
31	instantiation	72, 42, 43	,  ⊢
	: , : , :
32	instantiation	44, 76, 45*	⊢
	: , :
33	instantiation	83, 67, 46	⊢
	: , : , :
34	instantiation	83, 48, 47	⊢
	: , : , :
35	instantiation	83, 48, 49	⊢
	: , : , :
36	theorem		⊢
	proveit.linear_algebra.tensors.factor_scalar_from_tensor_prod
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
38	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
39	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
40	instantiation	50, 81	⊢
	:
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
42	instantiation	51, 55, 52, 81, 53*	⊢
	: , : , :
43	instantiation	54, 55, 56, 57, 58, 59, 60	,  ⊢
	: , : , : , :
44	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
45	instantiation	61, 76, 62, 63*, 64*	⊢
	: , : , :
46	instantiation	83, 78, 65	⊢
	: , : , :
47	instantiation	83, 67, 66	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
49	instantiation	83, 67, 68	⊢
	: , : , :
50	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
51	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_cart_exps_within_cart_exp
52	instantiation	70	⊢
	: , :
53	theorem		⊢
	proveit.numbers.numerals.decimals.mult_3_3
54	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
55	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
56	instantiation	70	⊢
	: , :
57	instantiation	69, 81	⊢
	:
58	instantiation	70	⊢
	: , :
59	instantiation	72, 73, 71	⊢
	: , : , :
60	instantiation	72, 73, 74	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
62	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
63	instantiation	75, 76	⊢
	:
64	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
65	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
66	instantiation	83, 78, 77	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
68	instantiation	83, 78, 79	⊢
	: , : , :
69	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
70	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
71	assumption		⊢
72	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
73	instantiation	80, 81, 82	⊢
	: , : , :
74	assumption		⊢
75	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
76	instantiation	83, 86, 84	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
78	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
79	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
80	theorem		⊢
	proveit.logic.sets.cartesian_products.cart_exp_subset_eq
81	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
82	instantiation	85, 86	⊢
	: , :
83	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
84	assumption		⊢
85	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
86	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
*equality replacement requirements