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