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*	⊢
	: , : , :
1	reference	62	⊢
2	instantiation	73, 5	⊢
	: , : , :
3	instantiation	46, 6	⊢
	: , :
4	instantiation	62, 7, 35	⊢
	: , : , :
5	instantiation	8, 9, 10, 11	⊢
	: , : , : , :
6	instantiation	12, 49, 13, 14, 15, 16*, 17*	⊢
	: , : , : , :
7	instantiation	73, 74	⊢
	: , : , :
8	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
9	instantiation	73, 18	⊢
	: , : , :
10	instantiation	19, 22, 109, 126, 24, 20, 49, 26, 27	⊢
	: , : , : , : , : , :
11	instantiation	21, 126, 109, 22, 23, 24, 49, 26, 27	⊢
	: , : , : , : , : , :
12	theorem		⊢
	proveit.numbers.division.prod_of_fracs
13	instantiation	25, 26, 27	⊢
	: , :
14	instantiation	124, 67, 28	⊢
	: , : , :
15	instantiation	57, 32, 29	⊢
	:
16	instantiation	30, 49	⊢
	:
17	instantiation	31, 32	⊢
	:
18	instantiation	33, 100, 91, 118, 50, 34, 35*	⊢
	: , : , : , :
19	theorem		⊢
	proveit.numbers.multiplication.disassociation
20	instantiation	54	⊢
	: , :
21	theorem		⊢
	proveit.numbers.multiplication.association
22	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
23	instantiation	54	⊢
	: , :
24	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
25	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
26	instantiation	36, 49, 37	⊢
	: , :
27	instantiation	124, 90, 38	⊢
	: , : , :
28	instantiation	124, 39, 40	⊢
	: , : , :
29	instantiation	41, 109, 42, 43, 44	⊢
	: , :
30	theorem		⊢
	proveit.numbers.division.frac_one_denom
31	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
32	instantiation	124, 90, 45	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.exponentiation.exp_factored_real
34	instantiation	46, 47	⊢
	: , :
35	instantiation	48, 49	⊢
	:
36	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
37	instantiation	124, 90, 50	⊢
	: , : , :
38	instantiation	86, 51, 87	⊢
	: , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
40	instantiation	124, 52, 53	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.multiplication.mult_not_eq_zero
42	instantiation	54	⊢
	: , :
43	instantiation	55, 56, 83	⊢
	: , :
44	instantiation	57, 58, 59	⊢
	:
45	instantiation	60, 61, 69	⊢
	: , :
46	theorem		⊢
	proveit.logic.equality.equals_reversal
47	instantiation	62, 63, 84	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
49	instantiation	124, 90, 113	⊢
	: , : , :
50	instantiation	86, 91, 64	⊢
	: , :
51	instantiation	124, 120, 65	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
53	instantiation	124, 66, 111	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
55	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
56	instantiation	124, 67, 68	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
58	instantiation	124, 90, 69	⊢
	: , : , :
59	instantiation	70, 71, 83, 72	⊢
	: , :
60	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
61	instantiation	77, 113, 109	⊢
	: , :
62	axiom		⊢
	proveit.logic.equality.equals_transitivity
63	instantiation	73, 74	⊢
	: , : , :
64	instantiation	75, 118	⊢
	:
65	instantiation	124, 122, 76	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
67	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
68	instantiation	124, 88, 100	⊢
	: , : , :
69	instantiation	77, 78, 109	⊢
	: , :
70	theorem		⊢
	proveit.numbers.exponentiation.exp_not_eq_zero
71	instantiation	124, 90, 78	⊢
	: , : , :
72	instantiation	79, 80	⊢
	:
73	axiom		⊢
	proveit.logic.equality.substitution
74	instantiation	81, 82, 83, 84	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.negation.real_closure
76	instantiation	124, 125, 85	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
78	instantiation	86, 91, 87	⊢
	: , :
79	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
80	instantiation	124, 88, 89	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
82	instantiation	124, 90, 118	⊢
	: , : , :
83	instantiation	124, 90, 91	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
85	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
86	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
87	instantiation	92, 118, 113, 101	⊢
	: , :
88	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
89	instantiation	93, 94, 95	⊢
	: , :
90	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
91	instantiation	124, 120, 96	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.division.div_real_closure
93	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
94	instantiation	124, 104, 97	⊢
	: , : , :
95	instantiation	98, 99, 100, 101	⊢
	: , :
96	instantiation	124, 122, 102	⊢
	: , : , :
97	instantiation	124, 110, 103	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
99	instantiation	124, 104, 105	⊢
	: , : , :
100	instantiation	106, 113, 114	⊢
	:
101	instantiation	107, 108	⊢
	: , :
102	instantiation	124, 125, 109	⊢
	: , : , :
103	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
104	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
105	instantiation	124, 110, 111	⊢
	: , : , :
106	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
107	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
108	instantiation	112, 117, 113, 114	⊢
	: , :
109	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
110	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
111	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
112	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
113	instantiation	115, 117, 118, 119	⊢
	: , : , :
114	instantiation	116, 117, 118, 119	⊢
	: , : , :
115	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
116	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
117	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
118	instantiation	124, 120, 121	⊢
	: , : , :
119	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
120	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
121	instantiation	124, 122, 123	⊢
	: , : , :
122	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
123	instantiation	124, 125, 126	⊢
	: , : , :
124	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
125	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
126	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements