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Metamath Proof Explorer

Theorem simp323

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

Ref Expression
Assertion simp323 
|- ( ( et /\ ze /\ ( th /\ ( ph /\ ps /\ ch ) /\ ta ) ) -> ch )

Proof

Step Hyp Ref Expression
1 simp23 
 |-  ( ( th /\ ( ph /\ ps /\ ch ) /\ ta ) -> ch )
2 1 3ad2ant3 
 |-  ( ( et /\ ze /\ ( th /\ ( ph /\ ps /\ ch ) /\ ta ) ) -> ch )