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, 6*, 7*, 8*	⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rescale_interval_co_membership
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
3	reference	61	⊢
4	reference	26	⊢
5	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
6	instantiation	37, 9, 10, 11	⊢
	: , : , : , :
7	instantiation	12, 22	⊢
	:
8	instantiation	73, 22	⊢
	:
9	instantiation	13, 81, 19, 18, 14, 20, 22, 74, 23	⊢
	: , : , : , : , : , :
10	instantiation	58, 15, 16	⊢
	: , : , :
11	instantiation	65, 23	⊢
	:
12	theorem		⊢
	proveit.numbers.multiplication.mult_zero_right
13	theorem		⊢
	proveit.numbers.multiplication.disassociation
14	instantiation	25	⊢
	: , :
15	instantiation	17, 18, 19, 81, 20, 21, 22, 74, 23	⊢
	: , : , : , : , : , :
16	instantiation	66, 24	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.multiplication.association
18	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	instantiation	25	⊢
	: , :
22	instantiation	79, 77, 26	⊢
	: , : , :
23	instantiation	79, 77, 27	⊢
	: , : , :
24	instantiation	34, 28, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26	instantiation	30, 61, 78, 31	⊢
	: , :
27	instantiation	32, 33	⊢
	:
28	instantiation	34, 35, 36	⊢
	: , : , :
29	instantiation	37, 38, 39, 40	⊢
	: , : , : , :
30	theorem		⊢
	proveit.numbers.division.div_real_closure
31	instantiation	41, 84	⊢
	:
32	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
33	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
34	theorem		⊢
	proveit.logic.equality.sub_right_side_into
35	instantiation	42, 53, 43, 44	⊢
	: , : , : , : , :
36	instantiation	58, 45, 46	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
38	instantiation	66, 47	⊢
	: , : , :
39	instantiation	66, 47	⊢
	: , : , :
40	instantiation	73, 53	⊢
	:
41	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
42	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_denom_left
43	instantiation	79, 49, 48	⊢
	: , : , :
44	instantiation	79, 49, 50	⊢
	: , : , :
45	instantiation	66, 51	⊢
	: , : , :
46	instantiation	66, 52	⊢
	: , : , :
47	instantiation	68, 53	⊢
	:
48	instantiation	79, 55, 54	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
50	instantiation	79, 55, 56	⊢
	: , : , :
51	instantiation	66, 57	⊢
	: , : , :
52	instantiation	58, 59, 60	⊢
	: , : , :
53	instantiation	79, 77, 61	⊢
	: , : , :
54	instantiation	79, 63, 62	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
56	instantiation	79, 63, 64	⊢
	: , : , :
57	instantiation	65, 74	⊢
	:
58	axiom		⊢
	proveit.logic.equality.equals_transitivity
59	instantiation	66, 67	⊢
	: , : , :
60	instantiation	68, 74	⊢
	:
61	instantiation	79, 69, 70	⊢
	: , : , :
62	instantiation	79, 72, 71	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
64	instantiation	79, 72, 84	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
66	axiom		⊢
	proveit.logic.equality.substitution
67	instantiation	73, 74	⊢
	:
68	theorem		⊢
	proveit.numbers.division.frac_one_denom
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
70	instantiation	79, 75, 76	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
72	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
73	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
74	instantiation	79, 77, 78	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
76	instantiation	79, 80, 81	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
78	instantiation	82, 83, 84	⊢
	: , : , :
79	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
80	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
81	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
82	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
83	instantiation	85, 86	⊢
	: , :
84	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
85	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
86	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements