Theorem impac 604

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 537	. 2 |- (ph -> (ps -> (ch /\ ps)))
3	2	imp 418	1 |- ((ph /\ ps) -> (ch /\ ps))

Syntax hints:   -> wi 4   /\ wa 358

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 177  df-an 360

This theorem is referenced by:  imdistanri  672  f1elima  5475