Metamath Proof Explorer

Theorem simprl2

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012) (Proof shortened by Wolf Lammen, 23-Jun-2022)

Ref Expression
Assertion simprl2 
|- ( ( ta /\ ( ( ph /\ ps /\ ch ) /\ th ) ) -> ps )

Proof

Step Hyp Ref Expression
1 simp2 
 |-  ( ( ph /\ ps /\ ch ) -> ps )
2 1 ad2antrl 
 |-  ( ( ta /\ ( ( ph /\ ps /\ ch ) /\ th ) ) -> ps )