Metamath Proof Explorer


Theorem simp3ll

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

Ref Expression
Assertion simp3ll
|- ( ( th /\ ta /\ ( ( ph /\ ps ) /\ ch ) ) -> ph )

Proof

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