Theorem 3adant3

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	3adant3	|- ( ( ph /\ ps /\ th ) -> ch )

Proof

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