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