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	reference	21	⊢
3	instantiation	4, 15, 14, 9, 17, 11, 5, 6, 7	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.logic.booleans.conjunction.association
5	instantiation	10, 15, 14, 17, 8, 12	⊢
	: , : , : , : , :
6	instantiation	10, 9, 12	⊢
	: , : , : , : , :
7	instantiation	10, 14, 15, 11, 17, 12	⊢
	: , : , : , : , :
8	instantiation	19	⊢
	: , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
10	theorem		⊢
	proveit.logic.booleans.conjunction.each_is_bool
11	instantiation	19	⊢
	: , :
12	instantiation	13, 14, 15, 16, 17, 18	⊢
	: , : , : , : , :
13	theorem		⊢
	proveit.logic.booleans.disjunction.each_is_bool
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
15	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
16	instantiation	19	⊢
	: , :
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	instantiation	20, 21	⊢
	:
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20	theorem		⊢
	proveit.logic.booleans.in_bool_if_true
21	assumption		⊢