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, 4	,  ⊢
	: , :
1	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
2	instantiation	5, 6, 7	,  ⊢
	: , :
3	reference	21	⊢
4	instantiation	8, 9	,  ⊢
	: , :
5	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
6	instantiation	61, 29, 10	,  ⊢
	: , : , :
7	instantiation	11, 12	⊢
	:
8	theorem		⊢
	proveit.numbers.addition.subtraction.neg_difference
9	instantiation	45, 13, 14	,  ⊢
	: , : , :
10	instantiation	61, 35, 15	,  ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.negation.real_closure
12	instantiation	16, 21, 22, 23	⊢
	: , : , :
13	instantiation	17, 18, 19	,  ⊢
	: , : , :
14	instantiation	20, 21, 22, 23	⊢
	: , : , :
15	instantiation	61, 24, 26	,  ⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
17	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
18	instantiation	25, 31, 32, 26	,  ⊢
	: , : , :
19	instantiation	27, 28	⊢
	:
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
22	instantiation	61, 29, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
24	instantiation	48, 31, 32	⊢
	: , :
25	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
28	instantiation	33, 34	⊢
	:
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	61, 35, 50	⊢
	: , : , :
31	instantiation	54, 36, 50	⊢
	: , :
32	instantiation	59, 37	⊢
	:
33	theorem		⊢
	proveit.numbers.negation.int_neg_closure
34	instantiation	38, 39, 40	⊢
	: , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	59, 55	⊢
	:
37	instantiation	54, 42, 50	⊢
	: , :
38	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
39	instantiation	41, 42, 43	⊢
	:
40	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
41	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
42	instantiation	61, 44, 52	⊢
	: , : , :
43	instantiation	45, 46, 47	⊢
	: , : , :
44	instantiation	48, 50, 51	⊢
	: , :
45	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
46	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
47	instantiation	49, 50, 51, 52	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
49	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
50	instantiation	61, 62, 53	⊢
	: , : , :
51	instantiation	54, 55, 56	⊢
	: , :
52	assumption		⊢
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
54	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
55	instantiation	61, 57, 58	⊢
	: , : , :
56	instantiation	59, 60	⊢
	:
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
58	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
59	theorem		⊢
	proveit.numbers.negation.int_closure
60	instantiation	61, 62, 63	⊢
	: , : , :
61	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
62	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat2