Theorems · Theorem · general topology
LightProfinite.isClosedMap
∀ {X Y : LightProfinite} (f : X ⟶ Y), IsClosedMap ⇑(CategoryTheory.ConcreteCategory.hom f)Any morphism of light profinite spaces is a closed map.
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- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- TopCat.carrierstatement · cited by 3,184
- ContinuousMapstatement · cited by 2,491
- TopCatstatement · cited by 1,889
- SecondCountableTopologystatement · cited by 750
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement · cited by 258
- CompHausLikestatement · cited by 145
- IsClosedMapstatement · cited by 138
- LightProfinitestatement and proof · cited by 90
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