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.addition.add_real_closure_bin
2	instantiation	4, 5, 9, 6	⊢
	: , : , :
3	instantiation	8, 7	⊢
	:
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
5	instantiation	8, 9	⊢
	:
6	instantiation	10, 11	⊢
	:
7	instantiation	15, 12, 13, 14	⊢
	: , :
8	theorem		⊢
	proveit.numbers.negation.real_closure
9	instantiation	15, 16, 17, 18	⊢
	: , :
10	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_in_interval
11	assumption		⊢
12	instantiation	45, 24, 19	⊢
	: , : , :
13	instantiation	20, 21, 22	⊢
	: , : , :
14	instantiation	26, 22	⊢
	:
15	theorem		⊢
	proveit.numbers.division.div_real_closure
16	instantiation	45, 24, 23	⊢
	: , : , :
17	instantiation	45, 24, 25	⊢
	: , : , :
18	instantiation	26, 27	⊢
	:
19	instantiation	45, 31, 28	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
21	instantiation	29, 30	⊢
	: , :
22	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
23	instantiation	45, 31, 40	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	45, 31, 32	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
28	instantiation	45, 33, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	45, 43, 35	⊢
	: , : , :
33	instantiation	36, 37, 42	⊢
	: , :
34	assumption		⊢
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
37	instantiation	38, 39, 40	⊢
	: , :
38	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
39	instantiation	41, 42	⊢
	:
40	instantiation	45, 43, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.negation.int_closure
42	instantiation	45, 46, 47	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
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