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	65	⊢
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
3	instantiation	4, 7, 5	,  ⊢
	:
4	theorem		⊢
	proveit.numbers.exponentiation.sqrd_pos_closure
5	instantiation	6, 7, 25, 8	,  ⊢
	: , :
6	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
7	instantiation	9, 10, 11	,  ⊢
	: , :
8	instantiation	12, 13	,  ⊢
	: , :
9	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
10	instantiation	65, 33, 14	,  ⊢
	: , : , :
11	instantiation	15, 16	⊢
	:
12	theorem		⊢
	proveit.numbers.addition.subtraction.neg_difference
13	instantiation	49, 17, 18	,  ⊢
	: , : , :
14	instantiation	65, 39, 19	,  ⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.negation.real_closure
16	instantiation	20, 25, 26, 27	⊢
	: , : , :
17	instantiation	21, 22, 23	,  ⊢
	: , : , :
18	instantiation	24, 25, 26, 27	⊢
	: , : , :
19	instantiation	65, 28, 30	,  ⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
21	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
22	instantiation	29, 35, 36, 30	,  ⊢
	: , : , :
23	instantiation	31, 32	⊢
	:
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
26	instantiation	65, 33, 34	⊢
	: , : , :
27	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
28	instantiation	52, 35, 36	⊢
	: , :
29	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
32	instantiation	37, 38	⊢
	:
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	65, 39, 54	⊢
	: , : , :
35	instantiation	58, 40, 54	⊢
	: , :
36	instantiation	63, 41	⊢
	:
37	theorem		⊢
	proveit.numbers.negation.int_neg_closure
38	instantiation	42, 43, 44	⊢
	: , :
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
40	instantiation	63, 59	⊢
	:
41	instantiation	58, 46, 54	⊢
	: , :
42	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
43	instantiation	45, 46, 47	⊢
	:
44	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
45	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
46	instantiation	65, 48, 56	⊢
	: , : , :
47	instantiation	49, 50, 51	⊢
	: , : , :
48	instantiation	52, 54, 55	⊢
	: , :
49	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
50	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
51	instantiation	53, 54, 55, 56	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
53	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
54	instantiation	65, 66, 57	⊢
	: , : , :
55	instantiation	58, 59, 60	⊢
	: , :
56	assumption		⊢
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
58	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
59	instantiation	65, 61, 62	⊢
	: , : , :
60	instantiation	63, 64	⊢
	:
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
62	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
63	theorem		⊢
	proveit.numbers.negation.int_closure
64	instantiation	65, 66, 67	⊢
	: , : , :
65	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
66	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
67	theorem		⊢
	proveit.numbers.numerals.decimals.nat2