Theorem ad2ant2l

Description: Deduction adding two conjuncts to antecedent. (Contributed by NM, 8-Jan-2006)

	Ref	Expression
Hypothesis	ad2ant2.1	|- ( ( ph /\ ps ) -> ch )
Assertion	ad2ant2l	|- ( ( ( th /\ ph ) /\ ( ta /\ ps ) ) -> ch )

Proof

Step	Hyp	Ref	Expression
1		ad2ant2.1	|- ( ( ph /\ ps ) -> ch )
2	1	adantrl	|- ( ( ph /\ ( ta /\ ps ) ) -> ch )
3	2	adantll	|- ( ( ( th /\ ph ) /\ ( ta /\ ps ) ) -> ch )