Metamath Proof Explorer

Theorem simp31

Description: Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011)

Ref Expression
Assertion simp31 
|- ( ( ph /\ ps /\ ( ch /\ th /\ ta ) ) -> ch )

Proof

Step Hyp Ref Expression
1 simp1 
 |-  ( ( ch /\ th /\ ta ) -> ch )
2 1 3ad2ant3 
 |-  ( ( ph /\ ps /\ ( ch /\ th /\ ta ) ) -> ch )