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