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