Metamath Proof Explorer


Theorem simp32l

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

Ref Expression
Assertion simp32l
|- ( ( ta /\ et /\ ( ch /\ ( ph /\ ps ) /\ th ) ) -> ph )

Proof

Step Hyp Ref Expression
1 simp2l
 |-  ( ( ch /\ ( ph /\ ps ) /\ th ) -> ph )
2 1 3ad2ant3
 |-  ( ( ta /\ et /\ ( ch /\ ( ph /\ ps ) /\ th ) ) -> ph )