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	instantiation	9, 38	⊢
	:
3	reference	38	⊢
4	reference	37	⊢
5	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_round_in_interval
6	instantiation	48, 10, 11, 12	⊢
	: , : , : , :
7	instantiation	13, 28, 29, 14*	⊢
	: , :
8	reference	14	⊢
9	theorem		⊢
	proveit.numbers.negation.real_closure
10	instantiation	15, 104, 93, 22, 16, 23, 28, 97, 25	⊢
	: , : , : , : , : , :
11	instantiation	79, 17, 18	⊢
	: , : , :
12	instantiation	87, 25	⊢
	:
13	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
14	instantiation	79, 19, 20	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.multiplication.disassociation
16	instantiation	33	⊢
	: , :
17	instantiation	21, 22, 93, 104, 23, 24, 28, 97, 25	⊢
	: , : , : , : , : , :
18	instantiation	88, 26	⊢
	: , : , :
19	instantiation	27, 28, 29	⊢
	: , :
20	instantiation	30, 72, 31, 60, 51*, 32*	⊢
	: , : , : , :
21	theorem		⊢
	proveit.numbers.multiplication.association
22	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
23	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
24	instantiation	33	⊢
	: , :
25	instantiation	102, 100, 34	⊢
	: , : , :
26	instantiation	45, 35, 36	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.multiplication.commutation
28	instantiation	102, 100, 37	⊢
	: , : , :
29	instantiation	102, 100, 38	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.division.prod_of_fracs
31	instantiation	102, 68, 39	⊢
	: , : , :
32	instantiation	40, 57, 94, 41, 42*	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
34	instantiation	43, 44	⊢
	:
35	instantiation	45, 46, 47	⊢
	: , : , :
36	instantiation	48, 49, 50, 51	⊢
	: , : , : , :
37	instantiation	53, 82, 101, 52	⊢
	: , :
38	instantiation	53, 82, 66, 54	⊢
	: , :
39	instantiation	102, 76, 55	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
41	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
42	instantiation	56, 57	⊢
	:
43	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
44	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
45	theorem		⊢
	proveit.logic.equality.sub_right_side_into
46	instantiation	58, 72, 59, 60	⊢
	: , : , : , : , :
47	instantiation	79, 61, 62	⊢
	: , : , :
48	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
49	instantiation	88, 63	⊢
	: , : , :
50	instantiation	88, 63	⊢
	: , : , :
51	instantiation	96, 72	⊢
	:
52	instantiation	64, 107	⊢
	:
53	theorem		⊢
	proveit.numbers.division.div_real_closure
54	instantiation	64, 73	⊢
	:
55	instantiation	102, 85, 65	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
57	instantiation	102, 100, 66	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_denom_left
59	instantiation	102, 68, 67	⊢
	: , : , :
60	instantiation	102, 68, 69	⊢
	: , : , :
61	instantiation	88, 70	⊢
	: , : , :
62	instantiation	88, 71	⊢
	: , : , :
63	instantiation	90, 72	⊢
	:
64	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
65	instantiation	102, 95, 73	⊢
	: , : , :
66	instantiation	102, 91, 74	⊢
	: , : , :
67	instantiation	102, 76, 75	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
69	instantiation	102, 76, 77	⊢
	: , : , :
70	instantiation	88, 78	⊢
	: , : , :
71	instantiation	79, 80, 81	⊢
	: , : , :
72	instantiation	102, 100, 82	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
74	instantiation	102, 98, 83	⊢
	: , : , :
75	instantiation	102, 85, 84	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
77	instantiation	102, 85, 86	⊢
	: , : , :
78	instantiation	87, 97	⊢
	:
79	axiom		⊢
	proveit.logic.equality.equals_transitivity
80	instantiation	88, 89	⊢
	: , : , :
81	instantiation	90, 97	⊢
	:
82	instantiation	102, 91, 92	⊢
	: , : , :
83	instantiation	102, 103, 93	⊢
	: , : , :
84	instantiation	102, 95, 94	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
86	instantiation	102, 95, 107	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
88	axiom		⊢
	proveit.logic.equality.substitution
89	instantiation	96, 97	⊢
	:
90	theorem		⊢
	proveit.numbers.division.frac_one_denom
91	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
92	instantiation	102, 98, 99	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
94	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
95	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
96	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
97	instantiation	102, 100, 101	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
99	instantiation	102, 103, 104	⊢
	: , : , :
100	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
101	instantiation	105, 106, 107	⊢
	: , : , :
102	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
103	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
104	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
105	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
106	instantiation	108, 109	⊢
	: , :
107	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
108	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
109	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements