Metamath Proof Explorer

Theorem simplll

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

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

Proof

Step Hyp Ref Expression
1 id 
 |-  ( ph -> ph )
2 1 ad3antrrr 
 |-  ( ( ( ( ph /\ ps ) /\ ch ) /\ th ) -> ph )