Metamath Proof Explorer


Theorem 3simpc

Description: Simplification of triple conjunction. (Contributed by NM, 21-Apr-1994) (Proof shortened by Andrew Salmon, 13-May-2011) (Proof shortened by Wolf Lammen, 21-Jun-2022)

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

Proof

Step Hyp Ref Expression
1 id
 |-  ( ( ps /\ ch ) -> ( ps /\ ch ) )
2 1 3adant1
 |-  ( ( ph /\ ps /\ ch ) -> ( ps /\ ch ) )