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	modus ponens	1, 2	⊢
1	instantiation	5, 3, 4	⊢
	: , : , :
2	assumption		⊢
3	instantiation	5, 6, 7	⊢
	: , : , :
4	instantiation	11, 8, 9	⊢
	: , : , :
5	theorem		⊢
	proveit.logic.equality.sub_left_side_into
6	deduction	10	⊢
7	instantiation	11, 27, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
9	instantiation	13	⊢
	: , : , : , : , :
10	instantiation	16, 14, 15	⊢
	: , : , :
11	axiom		⊢
	proveit.logic.sets.enumeration.enum_set_def
12	instantiation	37	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
14	instantiation	16, 17, 18	⊢
	: , : , :
15	instantiation	22, 27, 31, 34, 19, 36, 23, 45, 24, 25, 46	⊢
	: , : , : , : , : , : , :
16	theorem		⊢
	proveit.logic.equality.sub_right_side_into
17	instantiation	26, 27, 33, 34, 28, 20, 36, 21	⊢
	: , : , : , : , : , :
18	instantiation	22, 31, 33, 30, 23, 24, 25, 45, 46	⊢
	: , : , : , : , : , : , :
19	instantiation	37	⊢
	: , : , :
20	instantiation	41	⊢
	: , :
21	instantiation	26, 34, 27, 31, 36, 28, 29	⊢
	: , : , : , : , : , :
22	theorem		⊢
	proveit.logic.booleans.disjunction.leftward_commutation
23	instantiation	32, 34, 33, 36, 30, 39	⊢
	: , : , : , : , :
24	instantiation	32, 31, 39	⊢
	: , : , : , : , :
25	instantiation	32, 33, 34, 35, 36, 39	⊢
	: , : , : , : , :
26	theorem		⊢
	proveit.logic.booleans.disjunction.disassociate
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
28	instantiation	37	⊢
	: , : , :
29	instantiation	38, 39, 40, 43	⊢
	: , :
30	instantiation	41	⊢
	: , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
32	theorem		⊢
	proveit.logic.booleans.disjunction.each_is_bool
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
34	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
35	instantiation	41	⊢
	: , :
36	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
38	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_left
39	instantiation	42, 43	⊢
	:
40	instantiation	44, 45, 46	⊢
	: , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
42	theorem		⊢
	proveit.logic.booleans.in_bool_if_true
43	assumption		⊢
44	theorem		⊢
	proveit.logic.booleans.disjunction.binary_closure
45	instantiation	47	⊢
	: , :
46	instantiation	47	⊢
	: , :
47	axiom		⊢
	proveit.logic.equality.equality_in_bool