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	reference	13	⊢
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
3	instantiation	13, 4, 5	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
5	instantiation	13, 6, 7	⊢
	: , : , :
6	instantiation	8, 9, 10	⊢
	: , :
7	assumption		⊢
8	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
9	instantiation	13, 11, 12	⊢
	: , : , :
10	instantiation	13, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
13	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
14	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
15	instantiation	16, 25, 17, 18	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.deci_sequence_is_nat_pos
17	instantiation	19, 25, 20	⊢
	:
18	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
19	theorem		⊢
	proveit.numbers.numerals.decimals.n_in_digits
20	instantiation	21, 22, 23	⊢
	: , :
21	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
22	instantiation	24, 25	⊢
	:
23	instantiation	26, 27	⊢
	:
24	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
26	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9