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Theorems · Theorem · category theory

Condensed.isoLocallyConstantOfIsColimit_inv

∀ (X : CategoryTheory.Functor Profiniteᵒᵖ (Type (u + 1))) [inst : CategoryTheory.Limits.PreservesFiniteProducts X]
  (hX : (S : Profinite) → CategoryTheory.Limits.IsColimit (X.mapCocone S.asLimitCone.op)),
  (Condensed.isoLocallyConstantOfIsColimit X hX).inv = CompHausLike.LocallyConstant.counitApp X
Defined in
Mathlib.Condensed.Discrete.Colimit
Cited by
0 results in Mathlib
Foundations
Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Limits.PreservesFiniteProducts
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DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.map · cited by 8698Functor.mapOpposite · cited by 8081OppositeCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.NatTrans.app · cited by 7406NatTrans.appSet.Elem · cited by 7166Set.ElemCategoryTheory.Functor.comp · cited by 6529Functor.compCategoryTheory.Iso.inv · cited by 6514Iso.invCategoryTheory.Category.assoc · cited by 6433Category.assocCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homCondensed.isoLocallyConstantO…CITED BYCITES

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