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Metamath Proof Explorer

Theorem simp3l

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

Ref Expression
Assertion simp3l 
|- ( ( ph /\ ps /\ ( ch /\ th ) ) -> ch )

Proof

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