Theorem simp-12l

Description: Simplification of a conjunction. (Contributed by Thierry Arnoux, 5-Oct-2025)

	Ref	Expression
Assertion	simp-12l	|- ( ( ( ( ( ( ( ( ( ( ( ( ( ph /\ ps ) /\ ch ) /\ th ) /\ ta ) /\ et ) /\ ze ) /\ si ) /\ rh ) /\ mu ) /\ la ) /\ ka ) /\ nu ) -> ph )

Proof

Step	Hyp	Ref	Expression
1		simpl	|- ( ( ph /\ ps ) -> ph )
2	1	ad11antr	|- ( ( ( ( ( ( ( ( ( ( ( ( ( ph /\ ps ) /\ ch ) /\ th ) /\ ta ) /\ et ) /\ ze ) /\ si ) /\ rh ) /\ mu ) /\ la ) /\ ka ) /\ nu ) -> ph )