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	⊢
	: , : , :
1	theorem		⊢
	proveit.logic.sets.enumeration.fold
2	reference	25	⊢
3	instantiation	5	⊢
	: , : , :
4	instantiation	6, 28, 7, 8, 9, 10	⊢
	: , : , : , : , :
5	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
6	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_any
7	instantiation	13, 11	⊢
	:
8	instantiation	12	⊢
	: , :
9	instantiation	13, 14	⊢
	:
10	instantiation	15, 16	⊢
	: , :
11	instantiation	18, 17	⊢
	:
12	axiom		⊢
	proveit.logic.equality.equality_in_bool
13	axiom		⊢
	proveit.logic.booleans.negation.operand_is_bool
14	instantiation	18, 19	⊢
	:
15	theorem		⊢
	proveit.logic.equality.equals_reversal
16	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
17	instantiation	21, 20	⊢
	: , :
18	theorem		⊢
	proveit.logic.booleans.in_bool_if_true
19	instantiation	21, 22	⊢
	: , :
20	instantiation	23, 24	⊢
	: , :
21	theorem		⊢
	proveit.logic.equality.unfold_not_equals
22	instantiation	27, 29, 25, 26	⊢
	: , :
23	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
24	instantiation	27, 28, 29, 30	⊢
	: , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
26	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
27	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
30	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2