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.summation.sum_split_after
2	reference	23	⊢
3	instantiation	28, 29, 7	⊢
	: , : , :
4	instantiation	28, 29, 8	⊢
	: , : , :
5	instantiation	9, 10, 11	,  ⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.less_8_9
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
9	theorem		⊢
	proveit.logic.equality.sub_right_side_into
10	instantiation	12, 13, 14, 15, 16, 17	,  ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.add_7_1
12	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right
13	instantiation	28, 20, 18	⊢
	: , : , :
14	instantiation	28, 20, 19	⊢
	: , : , :
15	instantiation	28, 20, 21	⊢
	: , : , :
16	assumption		⊢
17	instantiation	22, 30	⊢
	:
18	instantiation	28, 25, 23	⊢
	: , : , :
19	instantiation	28, 25, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	28, 25, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
23	assumption		⊢
24	instantiation	28, 29, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	instantiation	28, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat7
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat1