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Theorems · Theorem · general topology

biUnion_connectedComponent_pathComponent_eq

∀ {X : Type u_1} [inst : TopologicalSpace X] (x : X), ⋃ y ∈ connectedComponent x, pathComponent y = connectedComponent x

Every connected component is a union of path connected components

Defined in
Mathlib.Topology.Connected.PathConnected
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Foundations
Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace

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