Metamath Proof Explorer

Theorem simpl3

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

Ref Expression
Assertion simpl3 
|- ( ( ( ph /\ ps /\ ch ) /\ th ) -> ch )

Proof

Step Hyp Ref Expression
1 simpl 
 |-  ( ( ch /\ th ) -> ch )
2 1 3ad2antl3 
 |-  ( ( ( ph /\ ps /\ ch ) /\ th ) -> ch )