Metamath Proof Explorer

Theorem simprrr

Description: Simplification of a conjunction. (Contributed by Jeff Hankins, 28-Jul-2009)

Ref Expression
Assertion simprrr 
|- ( ( ph /\ ( ps /\ ( ch /\ th ) ) ) -> th )

Proof

Step Hyp Ref Expression
1 simpr 
 |-  ( ( ch /\ th ) -> th )
2 1 ad2antll 
 |-  ( ( ph /\ ( ps /\ ( ch /\ th ) ) ) -> th )