Theorem 3impia

Description: Importation to triple conjunction. (Contributed by NM, 13-Jun-2006) (Proof shortened by Wolf Lammen, 21-Jun-2022)

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

Proof

Step	Hyp	Ref	Expression
1		3impia.1	|- ( ( ph /\ ps ) -> ( ch -> th ) )
2	1	expimpd	|- ( ph -> ( ( ps /\ ch ) -> th ) )
3	2	3impib	|- ( ( ph /\ ps /\ ch ) -> th )