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	axiom		⊢
	proveit.logic.booleans.implication.affirmation_via_contradiction
2	assumption		⊢
3	deduction	4	,  ⊢
4	instantiation	20, 5, 6	, ,  ⊢
	:
5	generalization	7	,  ⊢
6	modus ponens	8, 9	,  ⊢
7	instantiation	10, 11	, ,  ⊢
	: , :
8	instantiation	12, 13	⊢
	:
9	instantiation	14, 30	⊢
	: , :
10	theorem		⊢
	proveit.logic.equality.fold_not_equals
11	instantiation	15, 16, 17	, ,  ⊢
	:
12	theorem		⊢
	proveit.logic.booleans.quantification.existence.exists_unfolding
13	assumption		⊢
14	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
15	axiom		⊢
	proveit.logic.booleans.implication.denial_via_contradiction
16	instantiation	18	⊢
	: , :
17	deduction	19	, ,  ⊢
18	axiom		⊢
	proveit.logic.equality.equality_in_bool
19	instantiation	20, 21, 22	, , ,  ⊢
	:
20	theorem		⊢
	proveit.logic.booleans.negation.negation_contradiction
21	modus ponens	23, 24	, ,  ⊢
22	assumption		⊢
23	instantiation	25, 26	,  ⊢
	:
24	instantiation	27, 28	⊢
	:
25	instantiation	29, 30	⊢
	: , :
26	assumption		⊢
27	axiom		⊢
	proveit.logic.booleans.eq_true_elim
28	assumption		⊢
29	theorem		⊢
	proveit.logic.booleans.conjunction.right_from_and
30	assumption		⊢