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Metamath Proof Explorer

Theorem simp3rr

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012)

Ref Expression
Assertion simp3rr 
|- ( ( th /\ ta /\ ( ch /\ ( ph /\ ps ) ) ) -> ps )

Proof

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