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.numbers.number_sets.real_numbers.neg_real_is_real_neg
2	instantiation	4, 9, 10, 11	⊢
	: , : , :
3	instantiation	5, 6, 7	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_cc__is__real
5	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
6	instantiation	8, 9, 10, 11	⊢
	: , : , :
7	instantiation	12, 13	⊢
	:
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_cc_upper_bound
9	instantiation	15, 14	⊢
	:
10	instantiation	15, 16	⊢
	:
11	assumption		⊢
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.negative_if_in_real_neg
13	instantiation	17, 18	⊢
	:
14	instantiation	30, 20, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.negation.real_closure
16	instantiation	30, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.negation.real_neg_closure
18	instantiation	30, 22, 23	⊢
	: , : , :
19	instantiation	30, 25, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	30, 25, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
23	instantiation	30, 27, 28	⊢
	: , : , :
24	instantiation	30, 31, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	instantiation	30, 31, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
28	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2