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	modus ponens	1, 2	⊢
1	instantiation	5, 3, 4	⊢
	: , : , :
2	assumption		⊢
3	instantiation	5, 6, 7	⊢
	: , : , :
4	instantiation	9	⊢
	: , :
5	theorem		⊢
	proveit.logic.equality.sub_left_side_into
6	deduction	8	⊢
7	instantiation	9	⊢
	: , :
8	instantiation	10, 11, 12, 13	⊢
	: , :
9	axiom		⊢
	proveit.logic.sets.equivalence.set_not_equiv_def
10	theorem		⊢
	proveit.logic.booleans.implication.modus_tollens_denial
11	instantiation	14	⊢
	: , :
12	deduction	15	⊢
13	assumption		⊢
14	theorem		⊢
	proveit.logic.sets.equivalence.set_equiv_is_bool
15	instantiation	16, 17	⊢
	: , :
16	theorem		⊢
	proveit.logic.sets.equivalence.set_equiv_reversal
17	assumption		⊢