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	58	⊢
2	instantiation	68, 4	⊢
	: , : , :
3	instantiation	50, 74, 5, 6, 7*	⊢
	: , :
4	instantiation	68, 8	⊢
	: , : , :
5	instantiation	9, 89	⊢
	:
6	instantiation	10, 96, 11	⊢
	: , :
7	instantiation	58, 12, 13	⊢
	: , : , :
8	instantiation	58, 14, 15	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.exponentiation.sqrt_complex_closure
10	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
11	instantiation	16, 17, 96	⊢
	: , :
12	instantiation	68, 18	⊢
	: , : , :
13	instantiation	19, 20	⊢
	:
14	instantiation	58, 21, 22	⊢
	: , : , :
15	instantiation	58, 23, 24	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.division.div_rational_nonzero_closure
17	instantiation	118, 104, 25	⊢
	: , : , :
18	instantiation	26, 89, 85, 27, 51, 28*	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
20	instantiation	29, 89, 30	⊢
	: , :
21	instantiation	68, 31	⊢
	: , : , :
22	instantiation	68, 32	⊢
	: , : , :
23	instantiation	33, 64, 120, 108, 66, 34, 44, 77, 35	⊢
	: , : , : , : , : , :
24	instantiation	36, 44, 77, 37	⊢
	: , : , :
25	instantiation	118, 112, 115	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
27	instantiation	118, 106, 38	⊢
	: , : , :
28	instantiation	39, 77, 74, 67*	⊢
	: , :
29	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
30	instantiation	118, 97, 40	⊢
	: , : , :
31	instantiation	50, 62, 89, 51, 41*	⊢
	: , :
32	instantiation	68, 42	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.addition.disassociation
34	instantiation	75	⊢
	: , :
35	instantiation	43, 44	⊢
	:
36	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
37	instantiation	45	⊢
	:
38	instantiation	118, 113, 46	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.negation.pos_times_neg
40	instantiation	47, 85	⊢
	:
41	instantiation	58, 48, 49	⊢
	: , : , :
42	instantiation	50, 73, 89, 51, 52*	⊢
	: , :
43	theorem		⊢
	proveit.numbers.negation.complex_closure
44	instantiation	118, 97, 53	⊢
	: , : , :
45	axiom		⊢
	proveit.logic.equality.equals_reflexivity
46	instantiation	54, 101	⊢
	:
47	theorem		⊢
	proveit.numbers.negation.real_closure
48	instantiation	68, 69	⊢
	: , : , :
49	instantiation	58, 55, 56	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.division.div_as_mult
51	instantiation	57, 117	⊢
	:
52	instantiation	58, 59, 60	⊢
	: , : , :
53	instantiation	118, 106, 61	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.negation.int_closure
55	instantiation	70, 62, 77	⊢
	: , :
56	instantiation	63, 108, 120, 64, 65, 66, 77, 73, 74, 67*	⊢
	: , : , : , : , : , :
57	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
58	axiom		⊢
	proveit.logic.equality.equals_transitivity
59	instantiation	68, 69	⊢
	: , : , :
60	instantiation	70, 73, 77	⊢
	: , :
61	instantiation	118, 102, 71	⊢
	: , : , :
62	instantiation	72, 73, 74	⊢
	: , :
63	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
64	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
65	instantiation	75	⊢
	: , :
66	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
67	instantiation	76, 77	⊢
	:
68	axiom		⊢
	proveit.logic.equality.substitution
69	instantiation	78, 79, 115, 80*	⊢
	: , :
70	theorem		⊢
	proveit.numbers.multiplication.commutation
71	instantiation	81, 103, 82	⊢
	: , :
72	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
73	instantiation	118, 97, 83	⊢
	: , : , :
74	instantiation	118, 97, 84	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
76	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
77	instantiation	118, 97, 85	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
79	instantiation	118, 86, 87	⊢
	: , : , :
80	instantiation	88, 89	⊢
	:
81	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
82	instantiation	118, 116, 92	⊢
	: , : , :
83	instantiation	90, 91, 92	⊢
	: , : , :
84	instantiation	118, 106, 93	⊢
	: , : , :
85	instantiation	118, 106, 94	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
87	instantiation	118, 95, 96	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
89	instantiation	118, 97, 98	⊢
	: , : , :
90	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
91	instantiation	99, 100	⊢
	: , :
92	assumption		⊢
93	instantiation	118, 113, 101	⊢
	: , : , :
94	instantiation	118, 102, 103	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
96	instantiation	118, 104, 105	⊢
	: , : , :
97	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
98	instantiation	118, 106, 107	⊢
	: , : , :
99	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
100	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
101	instantiation	118, 119, 108	⊢
	: , : , :
102	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
103	instantiation	109, 110, 111	⊢
	: , :
104	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
105	instantiation	118, 112, 117	⊢
	: , : , :
106	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
107	instantiation	118, 113, 114	⊢
	: , : , :
108	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
109	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
110	instantiation	118, 116, 115	⊢
	: , : , :
111	instantiation	118, 116, 117	⊢
	: , : , :
112	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
113	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
114	instantiation	118, 119, 120	⊢
	: , : , :
115	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
116	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
117	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
118	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
119	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
120	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements