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	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.sets.unification.membership_folding
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
3	instantiation	24	⊢
	: , :
4	instantiation	5, 6, 7, 8	⊢
	: , :
5	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_right
6	instantiation	10, 12, 9	⊢
	: , : , :
7	instantiation	10, 12, 13	⊢
	: , : , :
8	instantiation	11, 12, 13, 14	⊢
	: , : , :
9	instantiation	15	⊢
	: , : , :
10	theorem		⊢
	proveit.logic.sets.enumeration.in_enum_set_is_bool
11	theorem		⊢
	proveit.logic.sets.enumeration.fold
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
13	instantiation	15	⊢
	: , : , :
14	instantiation	16, 17, 18, 19, 20, 21, 22, 23, 26	⊢
	: , : , : , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
16	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_any
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
19	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
20	instantiation	24	⊢
	: , :
21	instantiation	25, 26	⊢
	:
22	instantiation	27	⊢
	: , :
23	instantiation	27	⊢
	: , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	theorem		⊢
	proveit.logic.booleans.in_bool_if_true
26	assumption		⊢
27	axiom		⊢
	proveit.logic.equality.equality_in_bool