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	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
2	instantiation	30, 4, 5	,  ⊢
	: , : , :
3	reference	32	⊢
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
5	instantiation	6, 7	,  ⊢
	:
6	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
7	instantiation	8, 9	,  ⊢
	:
8	theorem		⊢
	proveit.physics.quantum.QPE._alpha_are_complex
9	instantiation	10, 11, 12	,  ⊢
	: , :
10	theorem		⊢
	proveit.physics.quantum.QPE._mod_add_closure
11	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
12	instantiation	30, 13, 14	,  ⊢
	: , : , :
13	instantiation	19, 15, 24	⊢
	: , :
14	assumption		⊢
15	instantiation	23, 16, 20	⊢
	: , :
16	instantiation	30, 17, 18	⊢
	: , : , :
17	instantiation	19, 20, 21	⊢
	: , :
18	assumption		⊢
19	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
20	instantiation	30, 31, 22	⊢
	: , : , :
21	instantiation	23, 24, 25	⊢
	: , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
23	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
24	instantiation	30, 26, 27	⊢
	: , : , :
25	instantiation	28, 29	⊢
	:
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
27	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
28	theorem		⊢
	proveit.numbers.negation.int_closure
29	instantiation	30, 31, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2