Theorem 3ad2antr3

Description: Deduction adding conjuncts to antecedent. (Contributed by NM, 30-Dec-2007)

	Ref	Expression
Hypothesis	3ad2antl.1	|- ( ( ph /\ ch ) -> th )
Assertion	3ad2antr3	|- ( ( ph /\ ( ps /\ ta /\ ch ) ) -> th )

Proof

Step	Hyp	Ref	Expression
1		3ad2antl.1	|- ( ( ph /\ ch ) -> th )
2	1	adantrl	|- ( ( ph /\ ( ta /\ ch ) ) -> th )
3	2	3adantr1	|- ( ( ph /\ ( ps /\ ta /\ ch ) ) -> th )