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