Metamath Proof Explorer


Theorem simp33r

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

Ref Expression
Assertion simp33r
|- ( ( ta /\ et /\ ( ch /\ th /\ ( ph /\ ps ) ) ) -> ps )

Proof

Step Hyp Ref Expression
1 simp3r
 |-  ( ( ch /\ th /\ ( ph /\ ps ) ) -> ps )
2 1 3ad2ant3
 |-  ( ( ta /\ et /\ ( ch /\ th /\ ( ph /\ ps ) ) ) -> ps )