Theorems · Theorem · category theory
LightCondSet.toTopCatMap_hom_apply
∀ {X Y : LightCondSet} (f : X ⟶ Y) (a : X.obj.obj (Opposite.op (LightProfinite.of PUnit.{u + 1}))),
(TopCat.Hom.hom (LightCondSet.toTopCatMap f)) a =
(CategoryTheory.ConcreteCategory.hom (f.hom.app (Opposite.op (LightProfinite.of PUnit.{u + 1})))) a- Defined in
- Mathlib.Condensed.Light.TopCatAdjunction
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.NatTrans.appstatement · cited by 7,406
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- TopCat.carrierstatement · cited by 3,184
- ContinuousMapstatement · cited by 2,491
- TopCatstatement · cited by 1,889
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement and proof · cited by 1,316
- TypeCat.Funstatement · cited by 1,307
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