Metamath Proof Explorer


Theorem simp31r

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

Ref Expression
Assertion simp31r
|- ( ( ta /\ et /\ ( ( ph /\ ps ) /\ ch /\ th ) ) -> ps )

Proof

Step Hyp Ref Expression
1 simp1r
 |-  ( ( ( ph /\ ps ) /\ ch /\ th ) -> ps )
2 1 3ad2ant3
 |-  ( ( ta /\ et /\ ( ( ph /\ ps ) /\ ch /\ th ) ) -> ps )