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Metamath Proof Explorer

Theorem simp3r2

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

Ref Expression
Assertion simp3r2 
|- ( ( ta /\ et /\ ( th /\ ( ph /\ ps /\ ch ) ) ) -> ps )

Proof

Step Hyp Ref Expression
1 simpr2 
 |-  ( ( th /\ ( ph /\ ps /\ ch ) ) -> ps )
2 1 3ad2ant3 
 |-  ( ( ta /\ et /\ ( th /\ ( ph /\ ps /\ ch ) ) ) -> ps )