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, 32, 4, 5, 6	,  ⊢
	: , : , : , :
3	theorem		⊢
	proveit.logic.sets.enumeration.true_for_each_then_true_for_all
4	instantiation	35	⊢
	: , :
5	instantiation	8, 32, 9, 7	⊢
	: , : , :
6	instantiation	8, 32, 9, 10	⊢
	: , : , :
7	instantiation	11, 12, 13, 14	⊢
	: , :
8	theorem		⊢
	proveit.logic.sets.enumeration.fold
9	instantiation	35	⊢
	: , :
10	instantiation	15, 16, 17, 22	⊢
	: , :
11	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_left
12	instantiation	18, 19, 20	⊢
	: , : , : , : , :
13	instantiation	21	⊢
	: , :
14	assumption		⊢
15	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_right
16	instantiation	21	⊢
	: , :
17	instantiation	23, 22	⊢
	:
18	theorem		⊢
	proveit.logic.booleans.disjunction.each_is_bool
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
20	instantiation	23, 24	⊢
	:
21	axiom		⊢
	proveit.logic.equality.equality_in_bool
22	assumption		⊢
23	theorem		⊢
	proveit.logic.booleans.in_bool_if_true
24	instantiation	25, 26, 27, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.enumeration.unfold
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
27	instantiation	29	⊢
	: , : , :
28	instantiation	30, 31, 32, 33, 34	⊢
	: , : , : , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
30	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
31	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
33	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
34	instantiation	35	⊢
	: , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq