Users' Mathboxes Mathbox for Alan Sare < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  orbi1r Unicode version

Theorem orbi1r 28570
Description: orbi1 686 with order of disjuncts reversed. Derived from orbi1rVD 28940. (Contributed by Alan Sare, 31-Dec-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
orbi1r  |-  ( (
ph 
<->  ps )  ->  (
( ch  \/  ph ) 
<->  ( ch  \/  ps ) ) )

Proof of Theorem orbi1r
StepHypRef Expression
1 id 19 . 2  |-  ( (
ph 
<->  ps )  ->  ( ph 
<->  ps ) )
21orbi2d 682 1  |-  ( (
ph 
<->  ps )  ->  (
( ch  \/  ph ) 
<->  ( ch  \/  ps ) ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    <-> wb 176    \/ wo 357
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-or 359
  Copyright terms: Public domain W3C validator