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Theorems · Theorem · general topology

IsHomeomorph.isClosedMap

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y},
  IsHomeomorph f → IsClosedMap f
Defined in
Mathlib.Topology.Homeomorph.Lemmas
Cited by
2 results in Mathlib
Foundations
Depth 77 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.

IsHomeomorph.isProperMap · cited by 1IsHomeomorph.isProperMapisHomeomorph_iff_continuous_isClosedMap_bijective · cited by 1isHomeomorph_iff_continuo…TopologicalSpace · cited by 24529TopologicalSpaceIsClosedMap · cited by 138IsClosedMapIsHomeomorph · cited by 69IsHomeomorphIsHomeomorph.homeomorph · cited by 18IsHomeomorph.homeomorphHomeomorph.isClosedMap · cited by 18Homeomorph.isClosedMapIsHomeomorph.isClosedMapCITED BYCITES

Cites5

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Cited by2

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