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Metamath Proof Explorer

Theorem simp122

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

Ref Expression
Assertion simp122 
|- ( ( ( th /\ ( ph /\ ps /\ ch ) /\ ta ) /\ et /\ ze ) -> ps )

Proof

Step Hyp Ref Expression
1 simp22 
 |-  ( ( th /\ ( ph /\ ps /\ ch ) /\ ta ) -> ps )
2 1 3ad2ant1 
 |-  ( ( ( th /\ ( ph /\ ps /\ ch ) /\ ta ) /\ et /\ ze ) -> ps )