∀ {X : Type u_2} [inst : TopologicalSpace X] {U : Set X} {Y : Type u_1} [inst_1 : Lattice Y] [inst_2 : Zero Y]
  (D₁ D₂ D₃ : Function.locallyFinsuppWithin U Y), D₁ ≤ D₂ → D₁ ≤ D₃ → ∀ (x : X), D₁ x ≤ (D₂ ⊓ D₃) x