Metamath Proof Explorer

Theorem simpllr

Description: Simplification of a conjunction. (Contributed by Jeff Hankins, 28-Jul-2009) (Proof shortened by Wolf Lammen, 6-Apr-2022)

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

Proof

Step Hyp Ref Expression
1 id 
 |-  ( ps -> ps )
2 1 ad3antlr 
 |-  ( ( ( ( ph /\ ps ) /\ ch ) /\ th ) -> ps )