Metamath Proof Explorer


Theorem orbi1r

Description: orbi1 with order of disjuncts reversed. Derived from orbi1rVD . (Contributed by Alan Sare, 31-Dec-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion orbi1r
|- ( ( ph <-> ps ) -> ( ( ch \/ ph ) <-> ( ch \/ ps ) ) )

Proof

Step Hyp Ref Expression
1 id
 |-  ( ( ph <-> ps ) -> ( ph <-> ps ) )
2 1 orbi2d
 |-  ( ( ph <-> ps ) -> ( ( ch \/ ph ) <-> ( ch \/ ps ) ) )