Theorem ad5ant25

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

	Ref	Expression
Hypothesis	ad5ant2.1	|- ( ( ph /\ ps ) -> ch )
Assertion	ad5ant25	|- ( ( ( ( ( th /\ ph ) /\ ta ) /\ et ) /\ ps ) -> ch )

Proof

Step	Hyp	Ref	Expression
1		ad5ant2.1	|- ( ( ph /\ ps ) -> ch )
2	1	adantll	|- ( ( ( th /\ ph ) /\ ps ) -> ch )
3	2	ad4ant14	|- ( ( ( ( ( th /\ ph ) /\ ta ) /\ et ) /\ ps ) -> ch )