Theorem aisfbistiaxb

Description: Given a is equivalent to F., Given b is equivalent to T., there exists a proof for a-xor-b. (Contributed by Jarvin Udandy, 31-Aug-2016)

	Ref	Expression
Hypotheses	aisfbistiaxb.1	|- ( ph <-> F. )
	aisfbistiaxb.2	|- ( ps <-> T. )
Assertion	aisfbistiaxb	|- ( ph \/_ ps )

Proof

Step	Hyp	Ref	Expression
1		aisfbistiaxb.1	|- ( ph <-> F. )
2		aisfbistiaxb.2	|- ( ps <-> T. )
3	1	aisfina	|- -. ph
4	2	aistia	|- ps
5	3 4	abnotataxb	|- ( ph \/_ ps )