∀ {α : Type u} {β : Type v} [inst : TopologicalSpace α] [inst_1 : LinearOrder α] [OrderClosedTopology α] {f g : β → α}
  {b : Filter β} {a₁ a₂ : α},
  Filter.Tendsto f b (nhds a₁) →
    Filter.Tendsto g b (nhds a₂) → Filter.Tendsto (fun b => min (f b) (g b)) b (nhds (min a₁ a₂))