Theorems · Theorem · category theory
LightCondSet.topCatAdjunctionUnit_hom_app
∀ (X : LightCondSet) (S : LightProfiniteᵒᵖ),
X.topCatAdjunctionUnit.hom.app S =
TypeCat.ofHom fun x =>
{
toFun := fun s =>
(CategoryTheory.ConcreteCategory.hom (X.obj.map (CompHausLike.const (LightProfinite.of PUnit.{u + 1}) s).op))
x,
continuous_toFun := ⋯ }- Defined in
- Mathlib.Condensed.Light.TopCatAdjunction
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites30
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- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
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- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- TopCat.carrierstatement · cited by 3,184
- Opposite.unopstatement · cited by 2,231
- Quiver.Hom.opstatement · cited by 1,948
- TopCatstatement · cited by 1,889
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