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