Metamath Proof Explorer


Theorem simp3rr

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012)

Ref Expression
Assertion simp3rr
|- ( ( th /\ ta /\ ( ch /\ ( ph /\ ps ) ) ) -> ps )

Proof

Step Hyp Ref Expression
1 simprr
 |-  ( ( ch /\ ( ph /\ ps ) ) -> ps )
2 1 3ad2ant3
 |-  ( ( th /\ ta /\ ( ch /\ ( ph /\ ps ) ) ) -> ps )