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.ordering.relax_less
2	instantiation	3, 4, 7, 5	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
4	instantiation	6, 7	⊢
	:
5	instantiation	8, 9	⊢
	:
6	theorem		⊢
	proveit.numbers.negation.real_closure
7	instantiation	10, 11, 12, 13	⊢
	: , :
8	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
9	assumption		⊢
10	theorem		⊢
	proveit.numbers.division.div_real_closure
11	instantiation	23, 15, 14	⊢
	: , : , :
12	instantiation	23, 15, 16	⊢
	: , : , :
13	instantiation	17, 18	⊢
	:
14	instantiation	23, 20, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
16	instantiation	23, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
19	instantiation	23, 24, 22	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
21	instantiation	23, 24, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
23	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat2