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