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	theorem		⊢
	proveit.logic.equality.sub_left_side_into
2	instantiation	4, 75, 5	⊢
	: , :
3	instantiation	47, 6	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
5	instantiation	7, 8, 75	⊢
	: , :
6	instantiation	37, 9, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.division.div_rational_nonzero_closure
8	instantiation	97, 83, 11	⊢
	: , : , :
9	instantiation	37, 12, 13	⊢
	: , : , :
10	instantiation	37, 14, 15	⊢
	: , : , :
11	instantiation	97, 91, 94	⊢
	: , : , :
12	instantiation	47, 16	⊢
	: , : , :
13	instantiation	47, 17	⊢
	: , : , :
14	instantiation	18, 43, 99, 87, 45, 19, 26, 56, 20	⊢
	: , : , : , : , : , :
15	instantiation	21, 26, 56, 22	⊢
	: , : , :
16	instantiation	30, 41, 68, 31, 23*	⊢
	: , :
17	instantiation	47, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.addition.disassociation
19	instantiation	54	⊢
	: , :
20	instantiation	25, 26	⊢
	:
21	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
22	instantiation	27	⊢
	:
23	instantiation	37, 28, 29	⊢
	: , : , :
24	instantiation	30, 52, 68, 31, 32*	⊢
	: , :
25	theorem		⊢
	proveit.numbers.negation.complex_closure
26	instantiation	97, 76, 33	⊢
	: , : , :
27	axiom		⊢
	proveit.logic.equality.equals_reflexivity
28	instantiation	47, 48	⊢
	: , : , :
29	instantiation	37, 34, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.division.div_as_mult
31	instantiation	36, 96	⊢
	:
32	instantiation	37, 38, 39	⊢
	: , : , :
33	instantiation	97, 85, 40	⊢
	: , : , :
34	instantiation	49, 41, 56	⊢
	: , :
35	instantiation	42, 87, 99, 43, 44, 45, 56, 52, 53, 46*	⊢
	: , : , : , : , : , :
36	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
37	axiom		⊢
	proveit.logic.equality.equals_transitivity
38	instantiation	47, 48	⊢
	: , : , :
39	instantiation	49, 52, 56	⊢
	: , :
40	instantiation	97, 81, 50	⊢
	: , : , :
41	instantiation	51, 52, 53	⊢
	: , :
42	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
43	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
44	instantiation	54	⊢
	: , :
45	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
46	instantiation	55, 56	⊢
	:
47	axiom		⊢
	proveit.logic.equality.substitution
48	instantiation	57, 58, 94, 59*	⊢
	: , :
49	theorem		⊢
	proveit.numbers.multiplication.commutation
50	instantiation	60, 82, 61	⊢
	: , :
51	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
52	instantiation	97, 76, 62	⊢
	: , : , :
53	instantiation	97, 76, 63	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
55	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
56	instantiation	97, 76, 64	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
58	instantiation	97, 65, 66	⊢
	: , : , :
59	instantiation	67, 68	⊢
	:
60	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
61	instantiation	97, 95, 71	⊢
	: , : , :
62	instantiation	69, 70, 71	⊢
	: , : , :
63	instantiation	97, 85, 72	⊢
	: , : , :
64	instantiation	97, 85, 73	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
66	instantiation	97, 74, 75	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
68	instantiation	97, 76, 77	⊢
	: , : , :
69	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
70	instantiation	78, 79	⊢
	: , :
71	assumption		⊢
72	instantiation	97, 92, 80	⊢
	: , : , :
73	instantiation	97, 81, 82	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
75	instantiation	97, 83, 84	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
77	instantiation	97, 85, 86	⊢
	: , : , :
78	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
79	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
80	instantiation	97, 98, 87	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
82	instantiation	88, 89, 90	⊢
	: , :
83	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
84	instantiation	97, 91, 96	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
86	instantiation	97, 92, 93	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
88	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
89	instantiation	97, 95, 94	⊢
	: , : , :
90	instantiation	97, 95, 96	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
92	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
93	instantiation	97, 98, 99	⊢
	: , : , :
94	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
95	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
96	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
97	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
98	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
99	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements