Theorem simp1r3

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

	Ref	Expression
Assertion	simp1r3	|- ( ( ( th /\ ( ph /\ ps /\ ch ) ) /\ ta /\ et ) -> ch )

Proof

Step	Hyp	Ref	Expression
1		simpr3	|- ( ( th /\ ( ph /\ ps /\ ch ) ) -> ch )
2	1	3ad2ant1	|- ( ( ( th /\ ( ph /\ ps /\ ch ) ) /\ ta /\ et ) -> ch )