Theorem truxortru

Description: A \/_ identity. (Contributed by David A. Wheeler, 8-May-2015)

	Ref	Expression
Assertion	truxortru	|- ( ( T. \/_ T. ) <-> F. )

Proof

Step	Hyp	Ref	Expression
1		df-xor	|- ( ( T. \/_ T. ) <-> -. ( T. <-> T. ) )
2		trubitru	|- ( ( T. <-> T. ) <-> T. )
3	1 2	xchbinx	|- ( ( T. \/_ T. ) <-> -. T. )
4		nottru	|- ( -. T. <-> F. )
5	3 4	bitri	|- ( ( T. \/_ T. ) <-> F. )