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, 5, 6	, ,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.exp_pos_lesseq
2	instantiation	31, 8, 7	⊢
	: , : , :
3	instantiation	31, 8, 29	⊢
	: , : , :
4	instantiation	31, 9, 10	⊢
	: , : , :
5	instantiation	11, 12, 13	,  ⊢
	: , :
6	assumption		⊢
7	instantiation	14, 15, 16, 17	⊢
	: , :
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
10	instantiation	31, 18, 19	⊢
	: , : , :
11	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
12	instantiation	20, 21	⊢
	: , :
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
15	instantiation	31, 23, 22	⊢
	: , : , :
16	instantiation	31, 23, 24	⊢
	: , : , :
17	instantiation	25, 33	⊢
	:
18	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
19	instantiation	31, 26, 27	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.ordering.relax_less
21	instantiation	28, 29	⊢
	:
22	instantiation	31, 32, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
24	instantiation	31, 32, 33	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
29	assumption		⊢
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2