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.nonmembership_equiv
2	reference	42	⊢
3	instantiation	14	⊢
	: , : , :
4	instantiation	24, 5, 6	⊢
	: , : , :
5	instantiation	7, 42, 8, 9, 10, 11, 12	⊢
	: , : , : , :
6	instantiation	34, 13	⊢
	:
7	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
8	instantiation	14	⊢
	: , : , :
9	instantiation	14	⊢
	: , : , :
10	instantiation	17, 15*	⊢
	: , :
11	instantiation	17, 16*	⊢
	: , :
12	instantiation	17, 18*	⊢
	: , :
13	instantiation	19, 45, 20	⊢
	: , : , : , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
15	instantiation	24, 21, 26	⊢
	: , : , :
16	instantiation	24, 22, 23	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.equality.not_equals_def
18	instantiation	24, 25, 26	⊢
	: , : , :
19	theorem		⊢
	proveit.logic.booleans.conjunction.nand_if_not_one
20	theorem		⊢
	proveit.logic.booleans.negation.not_false
21	instantiation	29, 27	⊢
	: , : , :
22	instantiation	29, 28	⊢
	: , : , :
23	axiom		⊢
	proveit.logic.booleans.negation.not_t
24	axiom		⊢
	proveit.logic.equality.equals_transitivity
25	instantiation	29, 30	⊢
	: , : , :
26	axiom		⊢
	proveit.logic.booleans.negation.not_f
27	instantiation	34, 31	⊢
	:
28	instantiation	32, 33	⊢
	:
29	axiom		⊢
	proveit.logic.equality.substitution
30	instantiation	34, 35	⊢
	:
31	instantiation	38, 36	⊢
	: , :
32	axiom		⊢
	proveit.logic.booleans.eq_true_intro
33	instantiation	37	⊢
	:
34	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
35	instantiation	38, 39	⊢
	: , :
36	instantiation	40, 41	⊢
	: , :
37	axiom		⊢
	proveit.logic.equality.equals_reflexivity
38	theorem		⊢
	proveit.logic.equality.unfold_not_equals
39	instantiation	44, 46, 42, 43	⊢
	: , :
40	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
41	instantiation	44, 45, 46, 47	⊢
	: , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
43	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
44	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
47	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
*equality replacement requirements