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Theorems · Theorem · general topology

isProperMap_const

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [h : CompactSpace X]
  [T1Space Y] (y : Y), IsProperMap fun x => y
Defined in
Mathlib.Topology.Maps.Proper.Basic
Cited by
2 results in Mathlib
Foundations
Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceCompactSpaceT1Space
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Around this declaration

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

isProperMap_snd_of_compactSpace · cited by 3isProperMap_snd_of_compac…isProperMap_fst_of_compactSpace · cited by 3isProperMap_fst_of_compac…TopologicalSpace · cited by 24529TopologicalSpaceCompactSpace · cited by 593CompactSpaceT1Space · cited by 275T1SpaceIsProperMap · cited by 66IsProperMapisProperMap_const_iff · cited by 1isProperMap_const_iffisProperMap_constCITED BYCITES

Cites5

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Cited by2

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