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	generalization	1	⊢
1	instantiation	2, 3, 4	,  ⊢
	:
2	theorem		⊢
	proveit.physics.quantum.QPE._alpha_sqrd_upper_bound
3	instantiation	5, 24, 50, 8, 6	,  ⊢
	: , : , :
4	instantiation	7, 8, 9, 17	,  ⊢
	: , :
5	theorem		⊢
	proveit.numbers.number_sets.integers.in_interval
6	instantiation	10, 11, 12	,  ⊢
	: , :
7	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_int
8	instantiation	56, 13, 26	,  ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
10	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
11	instantiation	44, 24, 25, 26	,  ⊢
	: , : , :
12	instantiation	14, 15	,  ⊢
	: , :
13	instantiation	43, 24, 25	⊢
	: , :
14	theorem		⊢
	proveit.numbers.ordering.relax_less
15	instantiation	16, 17, 18	,  ⊢
	: , : , :
16	axiom		⊢
	proveit.numbers.ordering.transitivity_less_less
17	instantiation	19, 20, 21	,  ⊢
	: , : , :
18	instantiation	22, 53	⊢
	:
19	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
20	instantiation	23, 24, 25, 26	,  ⊢
	: , : , :
21	instantiation	27, 28	⊢
	:
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
23	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
24	instantiation	49, 29, 45	⊢
	: , :
25	instantiation	54, 30	⊢
	:
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
28	instantiation	31, 32	⊢
	:
29	instantiation	54, 50	⊢
	:
30	instantiation	49, 37, 45	⊢
	: , :
31	theorem		⊢
	proveit.numbers.negation.int_neg_closure
32	instantiation	33, 34, 35	⊢
	: , :
33	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
34	instantiation	36, 37, 38	⊢
	:
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
36	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
37	instantiation	56, 39, 47	⊢
	: , : , :
38	instantiation	40, 41, 42	⊢
	: , : , :
39	instantiation	43, 45, 46	⊢
	: , :
40	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
41	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
42	instantiation	44, 45, 46, 47	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
44	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
45	instantiation	56, 57, 48	⊢
	: , : , :
46	instantiation	49, 50, 51	⊢
	: , :
47	assumption		⊢
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
49	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
50	instantiation	56, 52, 53	⊢
	: , : , :
51	instantiation	54, 55	⊢
	:
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
53	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
54	theorem		⊢
	proveit.numbers.negation.int_closure
55	instantiation	56, 57, 58	⊢
	: , : , :
56	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat2