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	,  ⊢
	: , : , :
1	reference	28	⊢
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
3	instantiation	4, 5	,  ⊢
	:
4	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
5	instantiation	6, 7	,  ⊢
	:
6	theorem		⊢
	proveit.physics.quantum.QPE._alpha_are_complex
7	instantiation	8, 9, 10	,  ⊢
	: , :
8	theorem		⊢
	proveit.physics.quantum.QPE._mod_add_closure
9	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
10	instantiation	28, 11, 12	,  ⊢
	: , : , :
11	instantiation	17, 13, 22	⊢
	: , :
12	assumption		⊢
13	instantiation	21, 14, 18	⊢
	: , :
14	instantiation	28, 15, 16	⊢
	: , : , :
15	instantiation	17, 18, 19	⊢
	: , :
16	assumption		⊢
17	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
18	instantiation	28, 29, 20	⊢
	: , : , :
19	instantiation	21, 22, 23	⊢
	: , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
21	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
22	instantiation	28, 24, 25	⊢
	: , : , :
23	instantiation	26, 27	⊢
	:
24	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
25	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
26	theorem		⊢
	proveit.numbers.negation.int_closure
27	instantiation	28, 29, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2