Metamath Proof Explorer

Theorem simp3r

Description: Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011)

Ref Expression
Assertion simp3r 
|- ( ( ph /\ ps /\ ( ch /\ th ) ) -> th )

Proof

Step Hyp Ref Expression
1 simpr 
 |-  ( ( ch /\ th ) -> th )
2 1 3ad2ant3 
 |-  ( ( ph /\ ps /\ ( ch /\ th ) ) -> th )