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.division.div_real_closure
2	reference	32	⊢
3	instantiation	5, 13, 73	,  ⊢
	: , :
4	instantiation	6, 7	,  ⊢
	:
5	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
6	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
7	instantiation	71, 8, 9	,  ⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
9	instantiation	10, 13, 11	,  ⊢
	:
10	theorem		⊢
	proveit.numbers.exponentiation.sqrd_pos_closure
11	instantiation	12, 13, 31, 14	,  ⊢
	: , :
12	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
13	instantiation	15, 16, 17	,  ⊢
	: , :
14	instantiation	18, 19	,  ⊢
	: , :
15	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
16	instantiation	71, 39, 20	,  ⊢
	: , : , :
17	instantiation	21, 22	⊢
	:
18	theorem		⊢
	proveit.numbers.addition.subtraction.neg_difference
19	instantiation	55, 23, 24	,  ⊢
	: , : , :
20	instantiation	71, 45, 25	,  ⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.negation.real_closure
22	instantiation	26, 31, 32, 33	⊢
	: , : , :
23	instantiation	27, 28, 29	,  ⊢
	: , : , :
24	instantiation	30, 31, 32, 33	⊢
	: , : , :
25	instantiation	71, 34, 36	,  ⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
27	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
28	instantiation	35, 41, 42, 36	,  ⊢
	: , : , :
29	instantiation	37, 38	⊢
	:
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
32	instantiation	71, 39, 40	⊢
	: , : , :
33	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
34	instantiation	58, 41, 42	⊢
	: , :
35	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
36	assumption		⊢
37	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
38	instantiation	43, 44	⊢
	:
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	71, 45, 60	⊢
	: , : , :
41	instantiation	64, 46, 60	⊢
	: , :
42	instantiation	69, 47	⊢
	:
43	theorem		⊢
	proveit.numbers.negation.int_neg_closure
44	instantiation	48, 49, 50	⊢
	: , :
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
46	instantiation	69, 65	⊢
	:
47	instantiation	64, 52, 60	⊢
	: , :
48	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
49	instantiation	51, 52, 53	⊢
	:
50	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
51	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
52	instantiation	71, 54, 62	⊢
	: , : , :
53	instantiation	55, 56, 57	⊢
	: , : , :
54	instantiation	58, 60, 61	⊢
	: , :
55	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
56	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
57	instantiation	59, 60, 61, 62	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
59	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
60	instantiation	71, 72, 63	⊢
	: , : , :
61	instantiation	64, 65, 66	⊢
	: , :
62	assumption		⊢
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
64	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
65	instantiation	71, 67, 68	⊢
	: , : , :
66	instantiation	69, 70	⊢
	:
67	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
68	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
69	theorem		⊢
	proveit.numbers.negation.int_closure
70	instantiation	71, 72, 73	⊢
	: , : , :
71	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
72	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
73	theorem		⊢
	proveit.numbers.numerals.decimals.nat2