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.addition.subtraction.nonzero_difference_if_different
2	instantiation	3, 4	,  ⊢
	: , :
3	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
4	instantiation	5, 6, 12, 7	,  ⊢
	: , :
5	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_not_eq_nonzeroInt
6	instantiation	8, 9, 44, 10	⊢
	: , : , : , : , :
7	instantiation	11, 12, 13, 14	,  ⊢
	: , :
8	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_int
12	instantiation	52, 15, 22	,  ⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
14	instantiation	16, 17, 18	,  ⊢
	: , : , :
15	instantiation	39, 20, 21	⊢
	: , :
16	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
17	instantiation	19, 20, 21, 22	,  ⊢
	: , : , :
18	instantiation	23, 24	⊢
	:
19	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
20	instantiation	45, 25, 41	⊢
	: , :
21	instantiation	50, 26	⊢
	:
22	assumption		⊢
23	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
24	instantiation	27, 28	⊢
	:
25	instantiation	50, 46	⊢
	:
26	instantiation	45, 33, 41	⊢
	: , :
27	theorem		⊢
	proveit.numbers.negation.int_neg_closure
28	instantiation	29, 30, 31	⊢
	: , :
29	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
30	instantiation	32, 33, 34	⊢
	:
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
32	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
33	instantiation	52, 35, 43	⊢
	: , : , :
34	instantiation	36, 37, 38	⊢
	: , : , :
35	instantiation	39, 41, 42	⊢
	: , :
36	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
37	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
38	instantiation	40, 41, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
40	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
41	instantiation	52, 53, 44	⊢
	: , : , :
42	instantiation	45, 46, 47	⊢
	: , :
43	assumption		⊢
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
45	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
46	instantiation	52, 48, 49	⊢
	: , : , :
47	instantiation	50, 51	⊢
	:
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
49	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
50	theorem		⊢
	proveit.numbers.negation.int_closure
51	instantiation	52, 53, 54	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat2