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	instantiation	19, 6, 7	, , ,  ⊢
	: , : , :
3	instantiation	8, 76	⊢
	:
4	instantiation	9, 76, 71, 62	⊢
	: , :
5	instantiation	92, 10, 11	, , ,  ⊢
	: , : , :
6	instantiation	49, 22, 12	, , ,  ⊢
	: , :
7	instantiation	92, 13, 14	, , ,  ⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.exponentiation.sqrt_complex_closure
9	theorem		⊢
	proveit.numbers.exponentiation.exp_not_eq_zero
10	instantiation	15, 16	⊢
	: , : , :
11	instantiation	92, 17, 18	, , ,  ⊢
	: , : , :
12	instantiation	19, 20, 21	, ,  ⊢
	: , : , :
13	instantiation	32, 131, 109, 37, 23, 39, 22, 76, 50, 47	, , ,  ⊢
	: , : , : , : , : , :
14	instantiation	32, 37, 126, 109, 39, 41, 23, 44, 45, 76, 50, 47	, , ,  ⊢
	: , : , : , : , : , :
15	axiom		⊢
	proveit.logic.equality.substitution
16	instantiation	24, 76, 86, 25, 62, 26*	⊢
	: , : , :
17	instantiation	32, 37, 27, 131, 39, 28, 44, 45, 76, 50, 47, 46	, , ,  ⊢
	: , : , : , : , : , :
18	instantiation	92, 29, 30	, , ,  ⊢
	: , : , :
19	theorem		⊢
	proveit.logic.equality.sub_right_side_into
20	instantiation	49, 31, 47	, ,  ⊢
	: , :
21	instantiation	32, 37, 126, 131, 39, 33, 76, 50, 47	, ,  ⊢
	: , : , : , : , : , :
22	instantiation	49, 44, 45	⊢
	: , :
23	instantiation	51	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
25	instantiation	72, 122	⊢
	:
26	instantiation	115, 71, 119, 34*	⊢
	: , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
28	instantiation	35	⊢
	: , : , : , : , :
29	instantiation	36, 109, 126, 37, 38, 43, 39, 44, 45, 76, 50, 47, 46	, , ,  ⊢
	: , : , : , : , : , : , :
30	instantiation	40, 126, 41, 42, 43, 44, 45, 76, 46, 50, 47, 48*	, , ,  ⊢
	: , : , : , : , : , :
31	instantiation	49, 76, 50	,  ⊢
	: , :
32	theorem		⊢
	proveit.numbers.multiplication.disassociation
33	instantiation	112	⊢
	: , :
34	instantiation	118, 71	⊢
	:
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
36	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
37	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
38	instantiation	51	⊢
	: , : , :
39	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
40	theorem		⊢
	proveit.numbers.multiplication.association
41	instantiation	112	⊢
	: , :
42	instantiation	112	⊢
	: , :
43	instantiation	112	⊢
	: , :
44	instantiation	52, 53, 54, 55	⊢
	: , :
45	instantiation	57, 56, 114	⊢
	: , :
46	instantiation	57, 76, 58	⊢
	: , :
47	instantiation	129, 121, 59	⊢
	: , : , :
48	instantiation	60, 76, 122, 61, 62, 63*, 64*	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
50	instantiation	129, 121, 65	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
52	theorem		⊢
	proveit.numbers.division.div_complex_closure
53	instantiation	129, 121, 66	⊢
	: , : , :
54	instantiation	129, 121, 67	⊢
	: , : , :
55	instantiation	110, 68	⊢
	:
56	instantiation	129, 121, 69	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
58	instantiation	70, 71	⊢
	:
59	assumption		⊢
60	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
61	instantiation	72, 86	⊢
	:
62	instantiation	73, 74	⊢
	:
63	instantiation	75, 76	⊢
	:
64	instantiation	77, 128, 78, 123, 79*, 80*, 81*	⊢
	: , : , : , :
65	instantiation	129, 99, 82	⊢
	: , : , :
66	instantiation	129, 124, 83	⊢
	: , : , :
67	instantiation	129, 124, 84	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
69	instantiation	129, 99, 85	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.negation.complex_closure
71	instantiation	129, 121, 86	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.negation.real_closure
73	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
74	instantiation	129, 87, 100	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
76	instantiation	129, 121, 88	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
78	instantiation	89, 128	⊢
	:
79	instantiation	90, 119	⊢
	:
80	instantiation	91, 119, 114, 98	⊢
	: , :
81	instantiation	92, 93, 94	⊢
	: , : , :
82	assumption		⊢
83	instantiation	129, 127, 95	⊢
	: , : , :
84	instantiation	129, 127, 96	⊢
	: , : , :
85	assumption		⊢
86	instantiation	97, 122, 117, 98	⊢
	: , :
87	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real_nonzero
88	instantiation	129, 99, 100	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.negation.int_closure
90	theorem		⊢
	proveit.numbers.division.frac_one_denom
91	theorem		⊢
	proveit.numbers.division.neg_frac_neg_numerator
92	axiom		⊢
	proveit.logic.equality.equals_transitivity
93	instantiation	101, 126, 102, 103, 104, 105	⊢
	: , : , : , :
94	instantiation	106, 119, 114, 107	⊢
	: , : , :
95	instantiation	129, 130, 108	⊢
	: , : , :
96	instantiation	129, 130, 109	⊢
	: , : , :
97	theorem		⊢
	proveit.numbers.division.div_real_closure
98	instantiation	110, 111	⊢
	:
99	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
100	assumption		⊢
101	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
102	instantiation	112	⊢
	: , :
103	instantiation	112	⊢
	: , :
104	instantiation	113, 114	⊢
	:
105	instantiation	115, 119, 116*	⊢
	: , :
106	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
107	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
108	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
109	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
110	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
111	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
112	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
113	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
114	instantiation	129, 121, 117	⊢
	: , : , :
115	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
116	instantiation	118, 119	⊢
	:
117	instantiation	129, 124, 120	⊢
	: , : , :
118	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
119	instantiation	129, 121, 122	⊢
	: , : , :
120	instantiation	129, 127, 123	⊢
	: , : , :
121	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
122	instantiation	129, 124, 125	⊢
	: , : , :
123	instantiation	129, 130, 126	⊢
	: , : , :
124	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
125	instantiation	129, 127, 128	⊢
	: , : , :
126	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
127	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
128	instantiation	129, 130, 131	⊢
	: , : , :
129	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
130	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
131	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements