pathComponentIn_mem_nhds

∀ {X : Type u_1} [inst : TopologicalSpace X] {x : X} {F : Set X} [LocallyPathConnectedSpace X],
  F ∈ nhds x → pathComponentIn F x ∈ nhds x

Defined in: Mathlib.Topology.Connected.LocallyPathConnected
Cited by: 2 results in Mathlib
Foundations: Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace LocallyPathConnectedSpace

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