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