Theorem impac 363

Description: Importation with conjunction in consequent. (Contributed by NM, 9-Aug-1994.)

Hypothesis

Ref	Expression
impac.1	|- ( ph -> ( ps -> ch ) )

Assertion

Ref	Expression
impac	|- ( ( ph /\ ps ) -> ( ch /\ ps ) )

Proof of Theorem impac

Step	Hyp	Ref	Expression
1		impac.1	. . 3 |- ( ph -> ( ps -> ch ) )
2	1	ancrd 309	. 2 |- ( ph -> ( ps -> ( ch /\ ps ) ) )
3	2	imp 115	1 |- ( ( ph /\ ps ) -> ( ch /\ ps ) )

Syntax hints:   -> wi 4   /\ wa 97

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101

This theorem is referenced by:  imdistanri  420  f1elima  5412