Theorem 3ad2antr1

Description: Deduction adding conjuncts to antecedent. (Contributed by NM, 25-Dec-2007)

	Ref	Expression
Hypothesis	3ad2antl.1	|- ( ( ph /\ ch ) -> th )
Assertion	3ad2antr1	|- ( ( ph /\ ( ch /\ ps /\ ta ) ) -> th )

Proof

Step	Hyp	Ref	Expression
1		3ad2antl.1	|- ( ( ph /\ ch ) -> th )
2	1	adantrr	|- ( ( ph /\ ( ch /\ ps ) ) -> th )
3	2	3adantr3	|- ( ( ph /\ ( ch /\ ps /\ ta ) ) -> th )