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*	,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.weak_bound_via_right_term_bound
2	reference	27	,  ⊢
3	instantiation	16, 9	⊢
	:
4	reference	19	⊢
5	instantiation	7, 8, 19, 9, 10, 11, 12*, 13*	⊢
	: , : , :
6	instantiation	14, 15	,  ⊢
	:
7	theorem		⊢
	proveit.numbers.multiplication.reversed_weak_bound_via_right_factor_bound
8	instantiation	16, 46	⊢
	:
9	instantiation	17, 19, 46, 20	⊢
	: , : , :
10	instantiation	18, 19, 46, 20	⊢
	: , : , :
11	instantiation	21, 22	⊢
	: , :
12	instantiation	23, 24, 25	⊢
	: , : , :
13	instantiation	26, 31	⊢
	:
14	theorem		⊢
	proveit.numbers.addition.elim_zero_right
15	instantiation	86, 56, 27	,  ⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.negation.real_closure
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
20	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
21	theorem		⊢
	proveit.numbers.ordering.relax_less
22	instantiation	28, 29	⊢
	:
23	axiom		⊢
	proveit.logic.equality.equals_transitivity
24	instantiation	30, 78, 88, 40, 42, 41, 31, 43, 44	⊢
	: , : , : , : , : , :
25	instantiation	32, 40, 88, 41, 42, 38, 43, 44, 33*	⊢
	: , : , : , : , :
26	theorem		⊢
	proveit.numbers.multiplication.mult_zero_right
27	instantiation	86, 62, 34	,  ⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
29	instantiation	35, 36	⊢
	:
30	theorem		⊢
	proveit.numbers.multiplication.disassociation
31	instantiation	37, 38	⊢
	:
32	theorem		⊢
	proveit.numbers.multiplication.mult_neg_any
33	instantiation	39, 40, 88, 41, 42, 43, 44	⊢
	: , : , : , :
34	instantiation	86, 69, 45	,  ⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.negation.int_neg_closure
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
37	theorem		⊢
	proveit.numbers.negation.complex_closure
38	instantiation	86, 56, 46	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
40	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
41	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
42	instantiation	47	⊢
	: , :
43	instantiation	48, 49, 50	⊢
	: , :
44	instantiation	86, 56, 51	⊢
	: , : , :
45	instantiation	86, 52, 53	,  ⊢
	: , : , :
46	instantiation	86, 62, 54	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
48	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
49	instantiation	86, 56, 55	⊢
	: , : , :
50	instantiation	86, 56, 57	⊢
	: , : , :
51	instantiation	58, 59	⊢
	:
52	instantiation	75, 60, 61	⊢
	: , :
53	assumption		⊢
54	instantiation	86, 69, 76	⊢
	: , : , :
55	instantiation	86, 62, 63	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
57	instantiation	64, 65, 66	⊢
	: , : , :
58	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
59	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
60	instantiation	79, 67, 76	⊢
	: , :
61	instantiation	84, 68	⊢
	:
62	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
63	instantiation	86, 69, 85	⊢
	: , : , :
64	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
65	instantiation	70, 71	⊢
	: , :
66	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
67	instantiation	84, 80	⊢
	:
68	instantiation	79, 72, 76	⊢
	: , :
69	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
70	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
71	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
72	instantiation	86, 73, 74	⊢
	: , : , :
73	instantiation	75, 76, 77	⊢
	: , :
74	assumption		⊢
75	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
76	instantiation	86, 87, 78	⊢
	: , : , :
77	instantiation	79, 80, 81	⊢
	: , :
78	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
79	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
80	instantiation	86, 82, 83	⊢
	: , : , :
81	instantiation	84, 85	⊢
	:
82	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
83	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
84	theorem		⊢
	proveit.numbers.negation.int_closure
85	instantiation	86, 87, 88	⊢
	: , : , :
86	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
87	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
88	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements