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