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.number_sets.real_numbers.nonzero_if_in_real_nonzero
2	instantiation	66, 3, 4	,  ⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
4	instantiation	5, 8, 6	,  ⊢
	:
5	theorem		⊢
	proveit.numbers.exponentiation.sqrd_pos_closure
6	instantiation	7, 8, 26, 9	,  ⊢
	: , :
7	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
8	instantiation	10, 11, 12	,  ⊢
	: , :
9	instantiation	13, 14	,  ⊢
	: , :
10	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
11	instantiation	66, 34, 15	,  ⊢
	: , : , :
12	instantiation	16, 17	⊢
	:
13	theorem		⊢
	proveit.numbers.addition.subtraction.neg_difference
14	instantiation	50, 18, 19	,  ⊢
	: , : , :
15	instantiation	66, 40, 20	,  ⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.negation.real_closure
17	instantiation	21, 26, 27, 28	⊢
	: , : , :
18	instantiation	22, 23, 24	,  ⊢
	: , : , :
19	instantiation	25, 26, 27, 28	⊢
	: , : , :
20	instantiation	66, 29, 31	,  ⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
22	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
23	instantiation	30, 36, 37, 31	,  ⊢
	: , : , :
24	instantiation	32, 33	⊢
	:
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
27	instantiation	66, 34, 35	⊢
	: , : , :
28	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
29	instantiation	53, 36, 37	⊢
	: , :
30	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
31	assumption		⊢
32	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
33	instantiation	38, 39	⊢
	:
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	66, 40, 55	⊢
	: , : , :
36	instantiation	59, 41, 55	⊢
	: , :
37	instantiation	64, 42	⊢
	:
38	theorem		⊢
	proveit.numbers.negation.int_neg_closure
39	instantiation	43, 44, 45	⊢
	: , :
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	instantiation	64, 60	⊢
	:
42	instantiation	59, 47, 55	⊢
	: , :
43	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
44	instantiation	46, 47, 48	⊢
	:
45	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
46	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
47	instantiation	66, 49, 57	⊢
	: , : , :
48	instantiation	50, 51, 52	⊢
	: , : , :
49	instantiation	53, 55, 56	⊢
	: , :
50	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
51	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
52	instantiation	54, 55, 56, 57	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
54	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
55	instantiation	66, 67, 58	⊢
	: , : , :
56	instantiation	59, 60, 61	⊢
	: , :
57	assumption		⊢
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
59	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
60	instantiation	66, 62, 63	⊢
	: , : , :
61	instantiation	64, 65	⊢
	:
62	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
63	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
64	theorem		⊢
	proveit.numbers.negation.int_closure
65	instantiation	66, 67, 68	⊢
	: , : , :
66	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
67	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
68	theorem		⊢
	proveit.numbers.numerals.decimals.nat2