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	instantiation	3, 9, 4, 5, 6	,  ⊢
	: , : , : , :
3	theorem		⊢
	proveit.logic.sets.enumeration.true_for_each_then_true_for_all
4	instantiation	15	⊢
	: , :
5	instantiation	8, 9, 10, 7	⊢
	: , : , :
6	instantiation	8, 9, 10, 11	⊢
	: , : , :
7	instantiation	12, 13, 14, 19	⊢
	: , :
8	theorem		⊢
	proveit.logic.sets.enumeration.fold
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
10	instantiation	15	⊢
	: , :
11	instantiation	16, 17, 18, 21	⊢
	: , :
12	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_right
13	instantiation	22	⊢
	: , :
14	instantiation	20, 19	⊢
	:
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_left
17	instantiation	20, 21	⊢
	:
18	instantiation	22	⊢
	: , :
19	instantiation	24, 23	⊢
	: , :
20	theorem		⊢
	proveit.logic.booleans.in_bool_if_true
21	instantiation	24, 25	⊢
	: , :
22	axiom		⊢
	proveit.logic.equality.equality_in_bool
23	assumption		⊢
24	theorem		⊢
	proveit.logic.equality.equals_reversal
25	assumption		⊢