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Theorems · Theorem · general topology

PathConnectedSpace.of_locPathConnectedSpace

Deprecated since 2026-06-21Use PathConnectedSpace.of_locallyPathConnectedSpace instead.

∀ {X : Type u_1} [inst : TopologicalSpace X] [LocallyPathConnectedSpace X] [ConnectedSpace X], PathConnectedSpace X

Alias of PathConnectedSpace.of_locallyPathConnectedSpace.

Defined in
Mathlib.Topology.Connected.LocallyPathConnected
Cited by
0 results in Mathlib
Foundations
Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceLocallyPathConnectedSpaceConnectedSpace
Mathlib docsSourceLoogleLeanSearch

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TopologicalSpace · cited by 24529TopologicalSpaceLocallyPathConnectedSpace · cited by 53LocallyPathConnectedSpaceConnectedSpace · cited by 37ConnectedSpacePathConnectedSpace · cited by 26PathConnectedSpacePathConnectedSpace.of_locallyPathConnectedSpace · cited by 2PathConnectedSpace.of_loc…PathConnectedSpace.of_locPath…CITED BYCITES

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