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.negation.negated_weak_bound
2	instantiation	6, 72	⊢
	:
3	instantiation	7, 12, 13	⊢
	: , :
4	instantiation	8, 72	⊢
	:
5	instantiation	9, 10, 11	⊢
	: , :
6	theorem		⊢
	proveit.physics.quantum.QPE._pfail_in_real
7	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
8	theorem		⊢
	proveit.physics.quantum.QPE._failure_upper_bound
9	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
10	instantiation	91, 45, 12	⊢
	: , : , :
11	instantiation	91, 45, 13	⊢
	: , : , :
12	instantiation	16, 17, 14, 15	⊢
	: , :
13	instantiation	16, 17, 18, 19	⊢
	: , :
14	instantiation	23, 46, 33	⊢
	: , :
15	instantiation	26, 84, 20, 21, 37	⊢
	: , :
16	theorem		⊢
	proveit.numbers.division.div_real_closure
17	instantiation	91, 52, 22	⊢
	: , : , :
18	instantiation	23, 24, 25	⊢
	: , :
19	instantiation	26, 84, 27, 28, 29	⊢
	: , :
20	instantiation	34	⊢
	: , :
21	instantiation	91, 43, 30	⊢
	: , : , :
22	instantiation	91, 58, 70	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
24	instantiation	91, 52, 31	⊢
	: , : , :
25	instantiation	32, 33, 84	⊢
	: , :
26	theorem		⊢
	proveit.numbers.multiplication.mult_not_eq_zero
27	instantiation	34	⊢
	: , :
28	instantiation	91, 43, 35	⊢
	: , : , :
29	instantiation	36, 37, 38	⊢
	: , :
30	instantiation	91, 50, 39	⊢
	: , : , :
31	instantiation	91, 58, 40	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
33	instantiation	91, 52, 41	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
35	instantiation	91, 50, 42	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
37	instantiation	91, 43, 44	⊢
	: , : , :
38	instantiation	91, 45, 46	⊢
	: , : , :
39	instantiation	91, 56, 47	⊢
	: , : , :
40	instantiation	91, 83, 48	⊢
	: , : , :
41	instantiation	91, 58, 62	⊢
	: , : , :
42	instantiation	91, 56, 49	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
44	instantiation	91, 50, 51	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
46	instantiation	91, 52, 53	⊢
	: , : , :
47	instantiation	91, 59, 54	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
49	instantiation	91, 59, 55	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
51	instantiation	91, 56, 57	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
53	instantiation	91, 58, 79	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
55	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
57	instantiation	91, 59, 60	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
59	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
60	instantiation	61, 62, 63	⊢
	:
61	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
62	instantiation	91, 64, 72	⊢
	: , : , :
63	instantiation	65, 66, 67	⊢
	: , : , :
64	instantiation	68, 70, 71	⊢
	: , :
65	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
66	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
67	instantiation	69, 70, 71, 72	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
69	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
70	instantiation	91, 83, 73	⊢
	: , : , :
71	instantiation	85, 74, 75	⊢
	: , :
72	theorem		⊢
	proveit.physics.quantum.QPE._e_value_in_e_domain
73	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
74	instantiation	76, 79, 77	⊢
	: , :
75	instantiation	78, 79	⊢
	:
76	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
77	instantiation	80, 81, 82	⊢
	:
78	theorem		⊢
	proveit.numbers.negation.int_closure
79	instantiation	91, 83, 84	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
81	instantiation	85, 86, 87	⊢
	: , :
82	instantiation	88, 89	⊢
	: , :
83	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
84	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
85	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
86	instantiation	91, 90, 95	⊢
	: , : , :
87	instantiation	91, 92, 93	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
89	instantiation	94, 95	⊢
	:
90	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
91	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
92	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
93	instantiation	96, 97	⊢
	:
94	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
95	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
96	theorem		⊢
	proveit.numbers.negation.int_neg_closure
97	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
*equality replacement requirements