Theorem 3imp

Description: Importation inference. (Contributed by NM, 8-Apr-1994) (Proof shortened by Wolf Lammen, 20-Jun-2022)

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

Proof

Step	Hyp	Ref	Expression
1		3imp.1	|- ( ph -> ( ps -> ( ch -> th ) ) )
2	1	imp31	|- ( ( ( ph /\ ps ) /\ ch ) -> th )
3	2	3impa	|- ( ( ph /\ ps /\ ch ) -> th )