∀ (R : Type u_2) {A : Type u_1} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] (x : R),
  (RingEquiv.moduleEndSelf A).toFun ((algebraMap R Aᵐᵒᵖ) x) = (algebraMap R (Module.End A A)) x