{R : Type u_1} →
  [inst : CommRing R] →
    {motive : IsRegularLocalRing R → Sort u} →
      (t : IsRegularLocalRing R) →
        ([toIsLocalRing : IsLocalRing R] →
            [toIsNoetherian : IsNoetherian R R] →
              (spanFinrank_maximalIdeal : ↑(Submodule.spanFinrank (IsLocalRing.maximalIdeal R)) = ringKrullDim R) →
                motive ⋯) →
          motive t