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	modus ponens	1, 2	⊢
1	instantiation	3	⊢
	: , : , :
2	generalization	4	⊢
3	theorem		⊢
	proveit.numbers.summation.summation_real_closure
4	instantiation	5, 6, 38	,  ⊢
	: , :
5	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
6	instantiation	36, 7, 8	,  ⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
8	instantiation	9, 10	,  ⊢
	:
9	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
10	instantiation	11, 12	,  ⊢
	:
11	theorem		⊢
	proveit.physics.quantum.QPE._alpha_are_complex
12	instantiation	13, 14, 15	,  ⊢
	: , :
13	theorem		⊢
	proveit.physics.quantum.QPE._mod_add_closure
14	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
15	instantiation	36, 16, 17	,  ⊢
	: , : , :
16	instantiation	25, 18, 19	⊢
	: , :
17	assumption		⊢
18	instantiation	29, 20, 26	⊢
	: , :
19	instantiation	34, 21	⊢
	:
20	instantiation	34, 30	⊢
	:
21	instantiation	29, 22, 26	⊢
	: , :
22	instantiation	36, 23, 24	⊢
	: , : , :
23	instantiation	25, 26, 27	⊢
	: , :
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
26	instantiation	36, 37, 28	⊢
	: , : , :
27	instantiation	29, 30, 31	⊢
	: , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
29	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
30	instantiation	36, 32, 33	⊢
	: , : , :
31	instantiation	34, 35	⊢
	:
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
33	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
34	theorem		⊢
	proveit.numbers.negation.int_closure
35	instantiation	36, 37, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2