Theorem xoror 1270

Description: XOR implies OR. (Contributed by BJ, 19-Apr-2019.)

Assertion

Ref	Expression
xoror	|- ( ( ph \/_ ps ) -> ( ph \/ ps ) )

Proof of Theorem xoror

Step	Hyp	Ref	Expression
1		xoranor 1268	. 2 |- ( ( ph \/_ ps ) <-> ( ( ph \/ ps ) /\ ( -. ph \/ -. ps ) ) )
2	1	simplbi 259	1 |- ( ( ph \/_ ps ) -> ( ph \/ ps ) )

Syntax hints:   -. wn 3   -> wi 4   \/ wo 629   \/_ wxo 1266

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-in1 544  ax-in2 545  ax-io 630

This theorem depends on definitions:  df-bi 110  df-xor 1267

This theorem is referenced by:  mtpxor  1317