Theorem simp31l

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

	Ref	Expression
Assertion	simp31l	|- ( ( ta /\ et /\ ( ( ph /\ ps ) /\ ch /\ th ) ) -> ph )

Proof

Step	Hyp	Ref	Expression
1		simp1l	|- ( ( ( ph /\ ps ) /\ ch /\ th ) -> ph )
2	1	3ad2ant3	|- ( ( ta /\ et /\ ( ( ph /\ ps ) /\ ch /\ th ) ) -> ph )