Metamath Proof Explorer


Theorem 3impdi

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

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

Proof

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