Metamath Proof Explorer


Theorem simp2l1

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

Ref Expression
Assertion simp2l1
|- ( ( ta /\ ( ( ph /\ ps /\ ch ) /\ th ) /\ et ) -> ph )

Proof

Step Hyp Ref Expression
1 simpl1
 |-  ( ( ( ph /\ ps /\ ch ) /\ th ) -> ph )
2 1 3ad2ant2
 |-  ( ( ta /\ ( ( ph /\ ps /\ ch ) /\ th ) /\ et ) -> ph )