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	instantiation	6, 61, 81, 7	⊢
	: , :
3	instantiation	102, 89, 8	⊢
	: , : , :
4	instantiation	9, 10	⊢
	:
5	instantiation	42, 11, 12	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.division.div_complex_closure
7	instantiation	13, 88	⊢
	:
8	instantiation	102, 96, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_if_in_rational_nonzero
10	instantiation	102, 15, 20	⊢
	: , : , :
11	instantiation	70, 16	⊢
	: , : , :
12	instantiation	42, 17, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
14	instantiation	102, 19, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational_nonzero
16	instantiation	21, 51, 41, 94, 22*, 23*	⊢
	: , : , :
17	instantiation	32, 24, 25	⊢
	: , : , :
18	instantiation	26, 61, 40, 52, 51, 35*, 27*	⊢
	: , : , : , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
20	instantiation	28, 29, 30	⊢
	: , :
21	theorem		⊢
	proveit.numbers.exponentiation.neg_power_of_quotient
22	instantiation	31, 81	⊢
	:
23	instantiation	31, 66	⊢
	:
24	instantiation	32, 33, 34	⊢
	: , : , :
25	instantiation	70, 35	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.division.prod_of_fracs
27	instantiation	42, 36, 37	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
29	instantiation	102, 38, 92	⊢
	: , : , :
30	instantiation	102, 38, 88	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
32	theorem		⊢
	proveit.logic.equality.sub_right_side_into
33	instantiation	39, 61, 40, 52, 41, 51	⊢
	: , : , : , : , :
34	instantiation	42, 43, 44	⊢
	: , : , :
35	instantiation	65, 61	⊢
	:
36	instantiation	45, 99, 46, 47, 48, 49	⊢
	: , : , : , :
37	instantiation	50, 51, 52, 66, 53*, 54*, 55*	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
39	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_denom_left
40	instantiation	102, 89, 56	⊢
	: , : , :
41	instantiation	102, 63, 57	⊢
	: , : , :
42	axiom		⊢
	proveit.logic.equality.equals_transitivity
43	instantiation	70, 58	⊢
	: , : , :
44	instantiation	70, 59	⊢
	: , : , :
45	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
46	instantiation	60	⊢
	: , :
47	instantiation	60	⊢
	: , :
48	instantiation	80, 61	⊢
	:
49	instantiation	79, 66	⊢
	:
50	theorem		⊢
	proveit.numbers.division.frac_cancel_left
51	instantiation	102, 63, 62	⊢
	: , : , :
52	instantiation	102, 63, 64	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
54	instantiation	80, 66	⊢
	:
55	instantiation	65, 66	⊢
	:
56	instantiation	102, 96, 67	⊢
	: , : , :
57	instantiation	102, 74, 68	⊢
	: , : , :
58	instantiation	70, 69	⊢
	: , : , :
59	instantiation	70, 71	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
61	instantiation	102, 89, 72	⊢
	: , : , :
62	instantiation	102, 74, 73	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
64	instantiation	102, 74, 75	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.division.frac_one_denom
66	instantiation	102, 89, 76	⊢
	: , : , :
67	instantiation	102, 100, 77	⊢
	: , : , :
68	instantiation	102, 84, 78	⊢
	: , : , :
69	instantiation	79, 81	⊢
	:
70	axiom		⊢
	proveit.logic.equality.substitution
71	instantiation	80, 81	⊢
	:
72	instantiation	102, 96, 82	⊢
	: , : , :
73	instantiation	102, 84, 83	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
75	instantiation	102, 84, 85	⊢
	: , : , :
76	instantiation	102, 96, 86	⊢
	: , : , :
77	instantiation	102, 103, 87	⊢
	: , : , :
78	instantiation	102, 93, 88	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
80	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
81	instantiation	102, 89, 90	⊢
	: , : , :
82	instantiation	102, 100, 91	⊢
	: , : , :
83	instantiation	102, 93, 92	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
85	instantiation	102, 93, 94	⊢
	: , : , :
86	instantiation	102, 100, 95	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
88	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
89	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
90	instantiation	102, 96, 97	⊢
	: , : , :
91	instantiation	102, 103, 98	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
93	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
94	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
95	instantiation	102, 103, 99	⊢
	: , : , :
96	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
97	instantiation	102, 100, 101	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
99	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
100	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
101	instantiation	102, 103, 104	⊢
	: , : , :
102	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
103	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
104	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
*equality replacement requirements