Theorem 3impdi 1224

Description: Importation inference (undistribute conjunction). (Contributed by NM, 14-Aug-1995.)

Hypothesis

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

Assertion

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

Proof of Theorem 3impdi

Step	Hyp	Ref	Expression
1		3impdi.1	. . 3 |- ( ( ( ph /\ ps ) /\ ( ph /\ ch ) ) -> th )
2	1	anandis 556	. 2 |- ( ( ph /\ ( ps /\ ch ) ) -> th )
3	2	3impb 1134	1 |- ( ( ph /\ ps /\ ch ) -> th )

Syntax hints:   -> wi 4   /\ wa 102   /\ w3a 919

This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106

This theorem depends on definitions:  df-bi 115  df-3an 921

This theorem is referenced by:  ecovdi  6240  ecovidi  6241  distrpig  6523  mulcanenq  6575  mulcanenq0ec  6635  distrnq0  6649  axltadd  7182  absmulgcd  10406