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Metamath Proof Explorer

Theorem simplr

Description: Simplification of a conjunction. (Contributed by NM, 20-Mar-2007)

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

Proof

Step Hyp Ref Expression
1 id 
 |-  ( ps -> ps )
2 1 ad2antlr 
 |-  ( ( ( ph /\ ps ) /\ ch ) -> ps )