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Metamath Proof Explorer

Theorem simprll

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

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

Proof

Step Hyp Ref Expression
1 simpl 
 |-  ( ( ps /\ ch ) -> ps )
2 1 ad2antrl 
 |-  ( ( ph /\ ( ( ps /\ ch ) /\ th ) ) -> ps )