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