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Theorems · Theorem · category theory

CategoryTheory.NatTrans.ext

∀ {C : Type u₁} {inst : CategoryTheory.Category.{v₁, u₁} C} {D : Type u₂} {inst_1 : CategoryTheory.Category.{v₂, u₂} D}
  {F G : CategoryTheory.Functor C D} {x y : CategoryTheory.NatTrans F G}, x.app = y.app → x = y
Defined in
Mathlib.CategoryTheory.NatTrans
Cited by
20 results in Mathlib
Foundations
Depth 13 from the axioms · uses no axioms

Around this declaration

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

CategoryTheory.NatTrans.ext' · cited by 340NatTrans.ext'CategoryTheory.TwoSquare.ext · cited by 15TwoSquare.extTopCat.Presheaf.ext · cited by 11Presheaf.extCategoryTheory.SimplicialObject.hom_ext · cited by 4SimplicialObject.hom_extAlgebraicGeometry.PresheafedSpace.IsOpenImmersion.isoRestrict_hom_ofRestrict · cited by 3IsOpenImmersion.isoRestri…CategoryTheory.NatTrans.ext_iff · cited by 2NatTrans.ext_iffSSet.Truncated.hom_ext · cited by 2Truncated.hom_extAlgebraicTopology.DoldKan.Compatibility.equivalenceCounitIso_eq · cited by 1Compatibility.equivalence…CategoryTheory.yonedaPairingExt · cited by 1CategoryTheory.yonedaPair…CategoryTheory.CosimplicialObject.hom_ext · cited by 1CosimplicialObject.hom_extCategoryTheory.presheafHom_isSheafFor · cited by 1CategoryTheory.presheafHo…CategoryTheory.coyonedaPairingExt · cited by 1CategoryTheory.coyonedaPa…CategoryTheory.CatCenter.ext · cited by 1CatCenter.extCategoryTheory.MorphismProperty.FunctorsInverting.hom_ext · cited by 1FunctorsInverting.hom_extAlgebraicTopology.DoldKan.Compatibility.equivalenceUnitIso_eq · cited by 1Compatibility.equivalence…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.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.mapCategoryTheory.NatTrans.app · cited by 7406NatTrans.appCategoryTheory.NatTrans · cited by 82CategoryTheory.NatTransNatTrans.extCITED BYCITES

Cites8

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Cited by20

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