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