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.number_sets.real_numbers.relax_IntervalOO_left_right
2	reference	6	⊢
3	reference	7	⊢
4	instantiation	5, 6, 7, 8, 9	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.number_sets.real_numbers.in_IntervalOO
6	instantiation	23, 12, 10	⊢
	: , : , :
7	instantiation	23, 12, 11	⊢
	: , : , :
8	instantiation	23, 12, 13	⊢
	: , : , :
9	instantiation	14, 15, 16	⊢
	: , :
10	instantiation	23, 19, 17	⊢
	: , : , :
11	instantiation	23, 19, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
13	instantiation	23, 19, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
15	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
16	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
17	instantiation	23, 24, 21	⊢
	: , : , :
18	instantiation	23, 24, 22	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
20	instantiation	23, 24, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
23	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat2