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	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.sets.inclusion.fold_subset_eq
2	generalization	3	⊢
3	instantiation	4, 5, 6	⊢
	:
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
5	instantiation	7, 12, 13, 14	⊢
	: , : , :
6	instantiation	8, 9, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_cc__is__real
8	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
9	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
10	instantiation	11, 12, 13, 14	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_cc_lower_bound
12	instantiation	22, 16, 15	⊢
	: , : , :
13	instantiation	22, 16, 17	⊢
	: , : , :
14	assumption		⊢
15	instantiation	22, 19, 18	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
17	instantiation	22, 19, 20	⊢
	: , : , :
18	instantiation	22, 23, 21	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
20	instantiation	22, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
22	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
23	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat2