Metamath Proof Explorer


Theorem simp3rl

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

Ref Expression
Assertion simp3rl
|- ( ( th /\ ta /\ ( ch /\ ( ph /\ ps ) ) ) -> ph )

Proof

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