Theorem 3ad2antl3

Description: Deduction adding conjuncts to antecedent. (Contributed by NM, 4-Aug-2007)

	Ref	Expression
Hypothesis	3ad2antl.1	|- ( ( ph /\ ch ) -> th )
Assertion	3ad2antl3	|- ( ( ( ps /\ ta /\ ph ) /\ ch ) -> th )

Proof

Step	Hyp	Ref	Expression
1		3ad2antl.1	|- ( ( ph /\ ch ) -> th )
2	1	adantll	|- ( ( ( ta /\ ph ) /\ ch ) -> th )
3	2	3adantl1	|- ( ( ( ps /\ ta /\ ph ) /\ ch ) -> th )