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