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

Metamath Proof Explorer

Theorem simp3r1

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

Ref Expression
Assertion simp3r1 
|- ( ( ta /\ et /\ ( th /\ ( ph /\ ps /\ ch ) ) ) -> ph )

Proof

Step Hyp Ref Expression
1 simpr1 
 |-  ( ( th /\ ( ph /\ ps /\ ch ) ) -> ph )
2 1 3ad2ant3 
 |-  ( ( ta /\ et /\ ( th /\ ( ph /\ ps /\ ch ) ) ) -> ph )