Theorem 3adant1

Description: Deduction adding a conjunct to antecedent. (Contributed by NM, 16-Jul-1995) (Proof shortened by Wolf Lammen, 21-Jun-2022)

	Ref	Expression
Hypothesis	3adant.1	|- ( ( ph /\ ps ) -> ch )
Assertion	3adant1	|- ( ( th /\ ph /\ ps ) -> ch )

Proof

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