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Theorems · Definition · category theory

CategoryTheory.Lax.StrongTrans.app

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        {F G : CategoryTheory.LaxFunctor B C} → CategoryTheory.Lax.StrongTrans F G → (a : B) → F.obj a ⟶ G.obj a
Defined in
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Lax
Cited by
15 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
CategoryTheory.BicategoryCategoryTheory.Bicategory

Around this declaration

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

CategoryTheory.Lax.StrongTrans.naturality · cited by 13StrongTrans.naturalityCategoryTheory.Lax.StrongTrans.toLax · cited by 8StrongTrans.toLaxCategoryTheory.Lax.StrongTrans.vComp · cited by 3StrongTrans.vCompCategoryTheory.Lax.StrongTrans.naturality_comp · cited by 1StrongTrans.naturality_co…CategoryTheory.Lax.StrongTrans.naturality_id · cited by 1StrongTrans.naturality_idCategoryTheory.Lax.StrongTrans.naturality_naturality · cited by 1StrongTrans.naturality_na…CategoryTheory.Lax.StrongTrans.toLax_app · cited by 0StrongTrans.toLax_appCategoryTheory.Lax.StrongTrans.toLax_naturality · cited by 0StrongTrans.toLax_natural…CategoryTheory.Lax.StrongTrans.vComp_app · cited by 0StrongTrans.vComp_appCategoryTheory.Lax.StrongTrans.vComp_naturality_hom · cited by 0StrongTrans.vComp_natural…CategoryTheory.Lax.StrongTrans.vComp_naturality_inv · cited by 0StrongTrans.vComp_natural…CategoryTheory.Lax.StrongTrans.categoryStruct_comp_app · cited by 0StrongTrans.categoryStruc…CategoryTheory.Lax.StrongTrans.categoryStruct_comp_naturality · cited by 0StrongTrans.categoryStruc…CategoryTheory.Lax.StrongTrans.categoryStruct_id_app · cited by 0StrongTrans.categoryStruc…CategoryTheory.Lax.StrongTrans.id_app · cited by 0StrongTrans.id_appQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryPrefunctor.obj · cited by 1241Prefunctor.objCategoryTheory.PrelaxFunctor.toPrelaxFunctorStruct · cited by 1154PrelaxFunctor.toPrelaxFun…CategoryTheory.PrelaxFunctorStruct.toPrefunctor · cited by 1142PrelaxFunctorStruct.toPre…CategoryTheory.LaxFunctor.toPrelaxFunctor · cited by 216LaxFunctor.toPrelaxFunctorCategoryTheory.LaxFunctor · cited by 201CategoryTheory.LaxFunctorCategoryTheory.Lax.StrongTrans · cited by 16Lax.StrongTransStrongTrans.appCITED BYCITES

Cites8

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Cited by18

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