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