This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem simp11r

Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012)

Ref Expression
Assertion simp11r 
|- ( ( ( ( ph /\ ps ) /\ ch /\ th ) /\ ta /\ et ) -> ps )

Proof

Step Hyp Ref Expression
1 simp1r 
 |-  ( ( ( ph /\ ps ) /\ ch /\ th ) -> ps )
2 1 3ad2ant1 
 |-  ( ( ( ( ph /\ ps ) /\ ch /\ th ) /\ ta /\ et ) -> ps )