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.equality.sub_right_side_into
2	instantiation	4, 5, 13, 6, 7, 8	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
4	theorem		⊢
	proveit.numbers.ordering.less_add_right
5	instantiation	9, 12, 13, 14	⊢
	: , : , :
6	instantiation	25, 18, 10	⊢
	: , : , :
7	instantiation	11, 12, 13, 14	⊢
	: , : , :
8	instantiation	15, 20	⊢
	:
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oo__is__real
10	instantiation	25, 22, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oo_upper_bound
12	instantiation	25, 18, 17	⊢
	: , : , :
13	instantiation	25, 18, 19	⊢
	: , : , :
14	assumption		⊢
15	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
16	instantiation	25, 26, 20	⊢
	: , : , :
17	instantiation	25, 22, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	25, 22, 23	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
21	instantiation	25, 26, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	25, 26, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
25	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat4