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.ordering.less_eq_add_right
2	instantiation	27, 9, 7	⊢
	: , : , :
3	instantiation	27, 9, 8	,  ⊢
	: , : , :
4	instantiation	27, 9, 10	⊢
	: , : , :
5	instantiation	11, 18, 19, 16	,  ⊢
	: , : , :
6	instantiation	12, 26	⊢
	:
7	instantiation	27, 14, 18	⊢
	: , : , :
8	instantiation	27, 14, 13	,  ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
10	instantiation	27, 14, 22	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
12	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
13	instantiation	27, 15, 16	,  ⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
15	instantiation	17, 18, 19	⊢
	: , :
16	assumption		⊢
17	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
18	instantiation	20, 21, 22	⊢
	: , :
19	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
20	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
21	instantiation	23, 24	⊢
	:
22	instantiation	27, 25, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.negation.int_closure
24	instantiation	27, 28, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
29	assumption		⊢