Metamath Proof Explorer

Theorem simp121

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

Ref Expression
Assertion simp121 
|- ( ( ( th /\ ( ph /\ ps /\ ch ) /\ ta ) /\ et /\ ze ) -> ph )

Proof

Step Hyp Ref Expression
1 simp21 
 |-  ( ( th /\ ( ph /\ ps /\ ch ) /\ ta ) -> ph )
2 1 3ad2ant1 
 |-  ( ( ( th /\ ( ph /\ ps /\ ch ) /\ ta ) /\ et /\ ze ) -> ph )