Theorem ad4ant13

Description: Deduction adding conjuncts to antecedent. (Contributed by Alan Sare, 17-Oct-2017) (Proof shortened by Wolf Lammen, 14-Apr-2022)

	Ref	Expression
Hypothesis	ad4ant2.1	|- ( ( ph /\ ps ) -> ch )
Assertion	ad4ant13	|- ( ( ( ( ph /\ th ) /\ ps ) /\ ta ) -> ch )

Proof

Step	Hyp	Ref	Expression
1		ad4ant2.1	|- ( ( ph /\ ps ) -> ch )
2	1	adantr	|- ( ( ( ph /\ ps ) /\ ta ) -> ch )
3	2	adantllr	|- ( ( ( ( ph /\ th ) /\ ps ) /\ ta ) -> ch )