Theorem aistbisfiaxb

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

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

Proof

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