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.logic.equality.not_equals_symmetry
2	instantiation	3, 4, 10, 5	,  ⊢
	: , :
3	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_not_eq_nonzeroInt
4	instantiation	6, 7, 42, 8	⊢
	: , : , : , : , :
5	instantiation	9, 10, 11, 12	,  ⊢
	: , :
6	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
7	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_int
10	instantiation	50, 13, 20	,  ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
12	instantiation	14, 15, 16	,  ⊢
	: , : , :
13	instantiation	37, 18, 19	⊢
	: , :
14	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
15	instantiation	17, 18, 19, 20	,  ⊢
	: , : , :
16	instantiation	21, 22	⊢
	:
17	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
18	instantiation	43, 23, 39	⊢
	: , :
19	instantiation	48, 24	⊢
	:
20	assumption		⊢
21	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
22	instantiation	25, 26	⊢
	:
23	instantiation	48, 44	⊢
	:
24	instantiation	43, 31, 39	⊢
	: , :
25	theorem		⊢
	proveit.numbers.negation.int_neg_closure
26	instantiation	27, 28, 29	⊢
	: , :
27	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
28	instantiation	30, 31, 32	⊢
	:
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
30	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
31	instantiation	50, 33, 41	⊢
	: , : , :
32	instantiation	34, 35, 36	⊢
	: , : , :
33	instantiation	37, 39, 40	⊢
	: , :
34	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
35	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
36	instantiation	38, 39, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
38	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
39	instantiation	50, 51, 42	⊢
	: , : , :
40	instantiation	43, 44, 45	⊢
	: , :
41	assumption		⊢
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
43	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
44	instantiation	50, 46, 47	⊢
	: , : , :
45	instantiation	48, 49	⊢
	:
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
47	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
48	theorem		⊢
	proveit.numbers.negation.int_closure
49	instantiation	50, 51, 52	⊢
	: , : , :
50	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat2