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Metamath Proof Explorer

Theorem 3simpb

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

Ref Expression
Assertion 3simpb 
|- ( ( ph /\ ps /\ ch ) -> ( ph /\ ch ) )

Proof

Step Hyp Ref Expression
1 id 
 |-  ( ( ph /\ ch ) -> ( ph /\ ch ) )
2 1 3adant2 
 |-  ( ( ph /\ ps /\ ch ) -> ( ph /\ ch ) )