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