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Theorems · Theorem · general topology

IsHomeomorph.isProperMap

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y},
  IsHomeomorph f → IsProperMap f
Defined in
Mathlib.Topology.Maps.Proper.Basic
Cited by
1 results in Mathlib
Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

isProperMap_id · cited by 5isProperMap_idTopologicalSpace · cited by 24529TopologicalSpaceIsHomeomorph · cited by 69IsHomeomorphIsProperMap · cited by 66IsProperMapIsHomeomorph.continuous · cited by 8IsHomeomorph.continuousisProperMap_of_isClosedMap_of_inj · cited by 3isProperMap_of_isClosedMa…IsHomeomorph.injective · cited by 2IsHomeomorph.injectiveIsHomeomorph.isClosedMap · cited by 2IsHomeomorph.isClosedMapIsHomeomorph.isProperMapCITED BYCITES

Cites7

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Cited by1

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