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	91	⊢
2	reference	19	⊢
3	instantiation	4, 5, 6, 7	,  ⊢
	: , :
4	theorem		⊢
	proveit.numbers.division.div_real_closure
5	instantiation	91, 29, 8	⊢
	: , : , :
6	instantiation	9, 20, 93	,  ⊢
	: , :
7	instantiation	10, 11	,  ⊢
	:
8	instantiation	91, 36, 80	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
10	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_if_in_complex_nonzero
11	instantiation	12, 13, 14	,  ⊢
	: , :
12	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
13	instantiation	15, 16, 17	,  ⊢
	:
14	instantiation	91, 19, 18	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
16	instantiation	91, 19, 20	,  ⊢
	: , : , :
17	instantiation	21, 22	,  ⊢
	: , :
18	instantiation	91, 29, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	24, 25, 26	,  ⊢
	: , :
21	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
22	instantiation	27, 28	,  ⊢
	: , :
23	instantiation	91, 36, 90	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
25	instantiation	91, 29, 30	,  ⊢
	: , : , :
26	instantiation	31, 32	⊢
	:
27	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
28	instantiation	33, 34, 44, 35	,  ⊢
	: , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	91, 36, 44	,  ⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.negation.real_closure
32	instantiation	37, 38, 39	⊢
	: , :
33	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_not_eq_nonzeroInt
34	instantiation	40, 41, 83, 42	⊢
	: , : , : , : , :
35	instantiation	43, 44, 45, 46	,  ⊢
	: , :
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
38	instantiation	47, 48, 49	⊢
	: , : , :
39	instantiation	50, 51	⊢
	:
40	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
41	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
42	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
43	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_int
44	instantiation	91, 52, 61	,  ⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
46	instantiation	53, 54, 55	,  ⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
48	instantiation	56, 57	⊢
	: , :
49	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
50	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
51	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
52	instantiation	78, 59, 60	⊢
	: , :
53	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
54	instantiation	58, 59, 60, 61	,  ⊢
	: , : , :
55	instantiation	62, 63	⊢
	:
56	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
58	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
59	instantiation	84, 64, 80	⊢
	: , :
60	instantiation	89, 65	⊢
	:
61	assumption		⊢
62	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
63	instantiation	66, 67	⊢
	:
64	instantiation	89, 85	⊢
	:
65	instantiation	84, 72, 80	⊢
	: , :
66	theorem		⊢
	proveit.numbers.negation.int_neg_closure
67	instantiation	68, 69, 70	⊢
	: , :
68	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
69	instantiation	71, 72, 73	⊢
	:
70	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
71	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
72	instantiation	91, 74, 82	⊢
	: , : , :
73	instantiation	75, 76, 77	⊢
	: , : , :
74	instantiation	78, 80, 81	⊢
	: , :
75	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
76	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
77	instantiation	79, 80, 81, 82	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
79	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
80	instantiation	91, 92, 83	⊢
	: , : , :
81	instantiation	84, 85, 86	⊢
	: , :
82	assumption		⊢
83	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
84	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
85	instantiation	91, 87, 88	⊢
	: , : , :
86	instantiation	89, 90	⊢
	:
87	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
88	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
89	theorem		⊢
	proveit.numbers.negation.int_closure
90	instantiation	91, 92, 93	⊢
	: , : , :
91	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
92	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat2