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	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.sets.intersection.membership_folding
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
3	instantiation	6	⊢
	: , :
4	instantiation	9, 16, 7, 8	⊢
	: , : , :
5	instantiation	9, 10, 11, 12	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
7	instantiation	23	⊢
	: , : , :
8	instantiation	14, 15, 18, 19, 20, 25	⊢
	: , : , : , : , :
9	theorem		⊢
	proveit.logic.sets.enumeration.fold
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
11	instantiation	13	⊢
	: , : , : , : , :
12	instantiation	14, 15, 16, 17, 18, 19, 20, 21, 22, 25	⊢
	: , : , : , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
14	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_any
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
17	instantiation	23	⊢
	: , : , :
18	instantiation	26	⊢
	: , :
19	instantiation	24, 25	⊢
	:
20	instantiation	26	⊢
	: , :
21	instantiation	26	⊢
	: , :
22	instantiation	26	⊢
	: , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
24	theorem		⊢
	proveit.logic.booleans.in_bool_if_true
25	assumption		⊢
26	axiom		⊢
	proveit.logic.equality.equality_in_bool