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	31	⊢
2	instantiation	4, 5, 6	,  ⊢
	: , : , :
3	instantiation	7, 8, 9, 10	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
5	instantiation	11, 12, 13, 14	,  ⊢
	: , : , :
6	instantiation	15, 16	⊢
	:
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
9	instantiation	47, 17, 18	⊢
	: , : , :
10	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
11	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
12	instantiation	40, 19, 36	⊢
	: , :
13	instantiation	45, 20	⊢
	:
14	assumption		⊢
15	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
16	instantiation	21, 22	⊢
	:
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	47, 23, 36	⊢
	: , : , :
19	instantiation	45, 41	⊢
	:
20	instantiation	40, 28, 36	⊢
	: , :
21	theorem		⊢
	proveit.numbers.negation.int_neg_closure
22	instantiation	24, 25, 26	⊢
	: , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
25	instantiation	27, 28, 29	⊢
	:
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
27	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
28	instantiation	47, 30, 38	⊢
	: , : , :
29	instantiation	31, 32, 33	⊢
	: , : , :
30	instantiation	34, 36, 37	⊢
	: , :
31	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
32	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
33	instantiation	35, 36, 37, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
35	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
36	instantiation	47, 48, 39	⊢
	: , : , :
37	instantiation	40, 41, 42	⊢
	: , :
38	assumption		⊢
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
40	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
41	instantiation	47, 43, 44	⊢
	: , : , :
42	instantiation	45, 46	⊢
	:
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
44	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
45	theorem		⊢
	proveit.numbers.negation.int_closure
46	instantiation	47, 48, 49	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat2