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	reference	30	⊢
2	reference	8	⊢
3	instantiation	30, 4, 5	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
5	instantiation	6, 7	⊢
	:
6	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
7	instantiation	30, 8, 9	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
9	instantiation	10, 11, 14, 12	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
11	instantiation	13, 14	⊢
	:
12	instantiation	15, 16	⊢
	:
13	theorem		⊢
	proveit.numbers.negation.real_closure
14	instantiation	17, 18, 19, 20	⊢
	: , :
15	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
16	assumption		⊢
17	theorem		⊢
	proveit.numbers.division.div_real_closure
18	instantiation	30, 22, 21	⊢
	: , : , :
19	instantiation	30, 22, 23	⊢
	: , : , :
20	instantiation	24, 25	⊢
	:
21	instantiation	30, 27, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	30, 27, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
26	instantiation	30, 31, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	30, 31, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2