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, 13, 7	,  ⊢
	: , :
5	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_not_eq_nonzeroInt
6	instantiation	8, 9, 37, 10	⊢
	: , : , : , : , :
7	instantiation	11, 12	,  ⊢
	:
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.number_sets.natural_numbers.nonzero_if_is_nat_pos
12	instantiation	25, 13, 14	,  ⊢
	:
13	instantiation	45, 15, 21	,  ⊢
	: , : , :
14	instantiation	29, 16, 17	,  ⊢
	: , : , :
15	instantiation	32, 20, 39	⊢
	: , :
16	instantiation	18, 19	⊢
	:
17	instantiation	33, 20, 39, 21	,  ⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
19	instantiation	22, 23, 24	⊢
	: , :
20	instantiation	38, 26, 34	⊢
	: , :
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
23	instantiation	25, 26, 27	⊢
	:
24	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
25	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
26	instantiation	45, 28, 36	⊢
	: , : , :
27	instantiation	29, 30, 31	⊢
	: , : , :
28	instantiation	32, 34, 35	⊢
	: , :
29	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
30	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
31	instantiation	33, 34, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
33	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
34	instantiation	45, 46, 37	⊢
	: , : , :
35	instantiation	38, 39, 40	⊢
	: , :
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
38	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
39	instantiation	45, 41, 42	⊢
	: , : , :
40	instantiation	43, 44	⊢
	:
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
42	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
43	theorem		⊢
	proveit.numbers.negation.int_closure
44	instantiation	45, 46, 47	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat2