DenseRange.exists_mem_open

∀ {X : Type u_1} [inst : TopologicalSpace X] {α : Type u_4} {f : α → X} {s : Set X},
  DenseRange f → IsOpen s → s.Nonempty → ∃ a, f a ∈ s

Defined in: Mathlib.Topology.Continuous
Cited by: 6 results in Mathlib
Foundations: Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace

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