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	generalization	1	⊢
1	modus ponens	2, 3	⊢
2	instantiation	6, 4, 5	⊢
	: , : , :
3	assumption		⊢
4	instantiation	6, 7, 8	⊢
	: , : , :
5	instantiation	12, 9, 10	⊢
	: , : , :
6	theorem		⊢
	proveit.logic.equality.sub_left_side_into
7	deduction	11	⊢
8	instantiation	12, 28, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
10	instantiation	14	⊢
	: , : , : , : , :
11	instantiation	17, 15, 16	⊢
	: , : , :
12	axiom		⊢
	proveit.logic.sets.enumeration.enum_set_def
13	instantiation	38	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
15	instantiation	17, 18, 19	⊢
	: , : , :
16	instantiation	23, 28, 32, 35, 20, 37, 24, 46, 25, 26, 47	⊢
	: , : , : , : , : , : , :
17	theorem		⊢
	proveit.logic.equality.sub_right_side_into
18	instantiation	27, 28, 34, 35, 29, 21, 37, 22	⊢
	: , : , : , : , : , :
19	instantiation	23, 32, 34, 31, 24, 25, 26, 46, 47	⊢
	: , : , : , : , : , : , :
20	instantiation	38	⊢
	: , : , :
21	instantiation	42	⊢
	: , :
22	instantiation	27, 35, 28, 32, 37, 29, 30	⊢
	: , : , : , : , : , :
23	theorem		⊢
	proveit.logic.booleans.disjunction.leftward_commutation
24	instantiation	33, 35, 34, 37, 31, 40	⊢
	: , : , : , : , :
25	instantiation	33, 32, 40	⊢
	: , : , : , : , :
26	instantiation	33, 34, 35, 36, 37, 40	⊢
	: , : , : , : , :
27	theorem		⊢
	proveit.logic.booleans.disjunction.disassociate
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
29	instantiation	38	⊢
	: , : , :
30	instantiation	39, 40, 41, 44	⊢
	: , :
31	instantiation	42	⊢
	: , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
33	theorem		⊢
	proveit.logic.booleans.disjunction.each_is_bool
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
35	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
36	instantiation	42	⊢
	: , :
37	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
38	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
39	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_left
40	instantiation	43, 44	⊢
	:
41	instantiation	45, 46, 47	⊢
	: , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
43	theorem		⊢
	proveit.logic.booleans.in_bool_if_true
44	assumption		⊢
45	theorem		⊢
	proveit.logic.booleans.disjunction.binary_closure
46	instantiation	48	⊢
	: , :
47	instantiation	48	⊢
	: , :
48	axiom		⊢
	proveit.logic.equality.equality_in_bool