Theorem truxorfal 1442

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

Assertion

Ref	Expression
truxorfal

Proof of Theorem truxorfal

Step	Hyp	Ref	Expression
1		df-xor 1364	. . 3
2		trubifal 1434	. . 3
3	1, 2	xchbinx 310	. 2
4		notfal 1432	. 2
5	3, 4	bitri 249	1

Syntax hints:  -.wn 3  <->wb 184  \/_wxo 1363  wtru 1396  wfal 1400

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 185  df-xor 1364  df-tru 1398  df-fal 1401