∀ {X : Type u} [inst : TopologicalSpace X] {Y : Type v} {α : Type u_1} {F : Filter α} {u : α → X} {x : X}
  [inst_1 : TopologicalSpace Y] {f : X → Y} {y : Y},
  Filter.Tendsto f (nhds x ⊓ Filter.map u F) (nhds y) → MapClusterPt x F u → MapClusterPt y F (f ∘ u)