Metamath Proof Explorer

Theorem simpl1

Description: Simplification of conjunction. (Contributed by Jeff Hankins, 17-Nov-2009) (Proof shortened by Wolf Lammen, 23-Jun-2022)

Ref Expression
Assertion simpl1 
|- ( ( ( ph /\ ps /\ ch ) /\ th ) -> ph )

Proof

Step Hyp Ref Expression
1 simpl 
 |-  ( ( ph /\ th ) -> ph )
2 1 3ad2antl1 
 |-  ( ( ( ph /\ ps /\ ch ) /\ th ) -> ph )