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Theorems · Definition · general topology

ConnectedSpace.casesOn

{α : Type u} →
  [inst : TopologicalSpace α] →
    {motive : ConnectedSpace α → Sort u_1} →
      (t : ConnectedSpace α) →
        ([toPreconnectedSpace : PreconnectedSpace α] → (toNonempty : Nonempty α) → motive ⋯) → motive t
Defined in
Mathlib.Topology.Connected.Basic
Cited by
2 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
TopologicalSpace
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connectedSpace_iff · cited by 0connectedSpace_iffconnectedSpace_iff_connectedComponent · cited by 0connectedSpace_iff_connec…TopologicalSpace · cited by 24529TopologicalSpacePreconnectedSpace · cited by 64PreconnectedSpaceConnectedSpace · cited by 37ConnectedSpaceConnectedSpace.casesOnCITED BYCITES

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Cited by2

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