Theorem 3impdir 1238

Description: Importation inference (undistribute conjunction). (Contributed by NM, 20-Aug-1995.)

Hypothesis

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

Assertion

Ref	Expression
3impdir	|- ((ph /\ ch /\ ps) -> th)

Proof of Theorem 3impdir

Step	Hyp	Ref	Expression
1		3impdir.1	. . 3 |- (((ph /\ ps) /\ (ch /\ ps)) -> th)
2	1	anandirs 804	. 2 |- (((ph /\ ch) /\ ps) -> th)
3	2	3impa 1146	1 |- ((ph /\ ch /\ ps) -> th)

Syntax hints:   -> wi 4   /\ wa 358   /\ w3a 934

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  df-3an 936

This theorem is referenced by: (None)