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	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
2	instantiation	27, 70, 4, 5	⊢
	: , :
3	instantiation	27, 70, 6, 7	⊢
	: , :
4	instantiation	11, 85, 8	⊢
	: , :
5	instantiation	12, 9, 10	⊢
	: , : , :
6	instantiation	11, 85, 21	⊢
	: , :
7	instantiation	12, 13, 14	⊢
	: , : , :
8	instantiation	68, 15, 16	⊢
	: , :
9	instantiation	19, 92, 17	⊢
	: , :
10	instantiation	64, 18	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
12	theorem		⊢
	proveit.logic.equality.sub_left_side_into
13	instantiation	19, 92, 20	⊢
	: , :
14	instantiation	64, 41	⊢
	: , : , :
15	instantiation	27, 58, 85, 48	⊢
	: , :
16	instantiation	42, 21	⊢
	:
17	instantiation	22, 23, 92	⊢
	: , :
18	instantiation	54, 24, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
20	instantiation	114, 26, 67	⊢
	: , : , :
21	instantiation	27, 69, 85, 48	⊢
	: , :
22	theorem		⊢
	proveit.numbers.division.div_rational_nonzero_closure
23	instantiation	114, 100, 28	⊢
	: , : , :
24	instantiation	54, 29, 30	⊢
	: , : , :
25	instantiation	54, 31, 32	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational_nonzero
27	theorem		⊢
	proveit.numbers.division.div_complex_closure
28	instantiation	114, 108, 111	⊢
	: , : , :
29	instantiation	64, 33	⊢
	: , : , :
30	instantiation	64, 34	⊢
	: , : , :
31	instantiation	35, 60, 116, 104, 62, 36, 43, 73, 37	⊢
	: , : , : , : , : , :
32	instantiation	38, 43, 73, 39	⊢
	: , : , :
33	instantiation	47, 58, 85, 48, 40*	⊢
	: , :
34	instantiation	64, 41	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.addition.disassociation
36	instantiation	71	⊢
	: , :
37	instantiation	42, 43	⊢
	:
38	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
39	instantiation	44	⊢
	:
40	instantiation	54, 45, 46	⊢
	: , : , :
41	instantiation	47, 69, 85, 48, 49*	⊢
	: , :
42	theorem		⊢
	proveit.numbers.negation.complex_closure
43	instantiation	114, 93, 50	⊢
	: , : , :
44	axiom		⊢
	proveit.logic.equality.equals_reflexivity
45	instantiation	64, 65	⊢
	: , : , :
46	instantiation	54, 51, 52	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.division.div_as_mult
48	instantiation	53, 113	⊢
	:
49	instantiation	54, 55, 56	⊢
	: , : , :
50	instantiation	114, 102, 57	⊢
	: , : , :
51	instantiation	66, 58, 73	⊢
	: , :
52	instantiation	59, 104, 116, 60, 61, 62, 73, 69, 70, 63*	⊢
	: , : , : , : , : , :
53	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
54	axiom		⊢
	proveit.logic.equality.equals_transitivity
55	instantiation	64, 65	⊢
	: , : , :
56	instantiation	66, 69, 73	⊢
	: , :
57	instantiation	114, 98, 67	⊢
	: , : , :
58	instantiation	68, 69, 70	⊢
	: , :
59	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
60	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
61	instantiation	71	⊢
	: , :
62	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
63	instantiation	72, 73	⊢
	:
64	axiom		⊢
	proveit.logic.equality.substitution
65	instantiation	74, 75, 111, 76*	⊢
	: , :
66	theorem		⊢
	proveit.numbers.multiplication.commutation
67	instantiation	77, 99, 78	⊢
	: , :
68	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
69	instantiation	114, 93, 79	⊢
	: , : , :
70	instantiation	114, 93, 80	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
72	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
73	instantiation	114, 93, 81	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
75	instantiation	114, 82, 83	⊢
	: , : , :
76	instantiation	84, 85	⊢
	:
77	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
78	instantiation	114, 112, 88	⊢
	: , : , :
79	instantiation	86, 87, 88	⊢
	: , : , :
80	instantiation	114, 102, 89	⊢
	: , : , :
81	instantiation	114, 102, 90	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
83	instantiation	114, 91, 92	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
85	instantiation	114, 93, 94	⊢
	: , : , :
86	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
87	instantiation	95, 96	⊢
	: , :
88	assumption		⊢
89	instantiation	114, 109, 97	⊢
	: , : , :
90	instantiation	114, 98, 99	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
92	instantiation	114, 100, 101	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
94	instantiation	114, 102, 103	⊢
	: , : , :
95	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
96	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
97	instantiation	114, 115, 104	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
99	instantiation	105, 106, 107	⊢
	: , :
100	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
101	instantiation	114, 108, 113	⊢
	: , : , :
102	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
103	instantiation	114, 109, 110	⊢
	: , : , :
104	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
105	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
106	instantiation	114, 112, 111	⊢
	: , : , :
107	instantiation	114, 112, 113	⊢
	: , : , :
108	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
109	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
110	instantiation	114, 115, 116	⊢
	: , : , :
111	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
112	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
113	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
114	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
115	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
116	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements