Metamath Proof Explorer

Theorem simp2

Description: Simplification of triple conjunction. (Contributed by NM, 21-Apr-1994) (Proof shortened by Wolf Lammen, 22-Jun-2022)

Ref Expression
Assertion simp2 
|- ( ( ph /\ ps /\ ch ) -> ps )

Proof

Step Hyp Ref Expression
1 id 
 |-  ( ps -> ps )
2 1 3ad2ant2 
 |-  ( ( ph /\ ps /\ ch ) -> ps )