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Metamath Proof Explorer

Theorem simp1l

Description: Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011)

Ref Expression
Assertion simp1l 
|- ( ( ( ph /\ ps ) /\ ch /\ th ) -> ph )

Proof

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