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.subtraction.nonmembership_folding
2	instantiation	3, 4, 5	⊢
	: , :
3	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_only_right
4	instantiation	6, 7	⊢
	: , :
5	instantiation	10, 17, 8, 9	⊢
	: , : , :
6	theorem		⊢
	proveit.logic.sets.membership.double_negated_membership
7	instantiation	10, 11, 12, 13	⊢
	: , : , :
8	instantiation	25	⊢
	: , : , :
9	instantiation	15, 16, 19, 20, 21, 24	⊢
	: , : , : , : , :
10	theorem		⊢
	proveit.logic.sets.enumeration.fold
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
12	instantiation	14	⊢
	: , : , : , : , :
13	instantiation	15, 16, 17, 18, 19, 20, 21, 22, 23, 24	⊢
	: , : , : , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
15	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_any
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
18	instantiation	25	⊢
	: , : , :
19	instantiation	26	⊢
	: , :
20	instantiation	26	⊢
	: , :
21	instantiation	26	⊢
	: , :
22	instantiation	26	⊢
	: , :
23	instantiation	26	⊢
	: , :
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
26	axiom		⊢
	proveit.logic.equality.equality_in_bool