Metamath Proof Explorer

Theorem simplrr

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

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

Proof

Step Hyp Ref Expression
1 simpr 
 |-  ( ( ps /\ ch ) -> ch )
2 1 ad2antlr 
 |-  ( ( ( ph /\ ( ps /\ ch ) ) /\ th ) -> ch )