Metamath Proof Explorer

Theorem simp312

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

Ref Expression
Assertion simp312 
|- ( ( et /\ ze /\ ( ( ph /\ ps /\ ch ) /\ th /\ ta ) ) -> ps )

Proof

Step Hyp Ref Expression
1 simp12 
 |-  ( ( ( ph /\ ps /\ ch ) /\ th /\ ta ) -> ps )
2 1 3ad2ant3 
 |-  ( ( et /\ ze /\ ( ( ph /\ ps /\ ch ) /\ th /\ ta ) ) -> ps )