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Theorems · Definition · category theory

CategoryTheory.Lax.OplaxTrans.Modification.vcomp

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        {F G : CategoryTheory.LaxFunctor B C} →
          {η θ ι : F ⟶ G} →
            CategoryTheory.Lax.OplaxTrans.Modification η θ →
              CategoryTheory.Lax.OplaxTrans.Modification θ ι → CategoryTheory.Lax.OplaxTrans.Modification η ι

Vertical composition of modifications.

Defined in
Mathlib.CategoryTheory.Bicategory.Modification.Lax
Cited by
1 results in Mathlib
Foundations
Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.BicategoryCategoryTheory.Bicategory
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Around this declaration

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CategoryTheory.Lax.OplaxTrans.Modification.vcomp_app · cited by 0Modification.vcomp_appQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryCategoryTheory.LaxFunctor · cited by 201CategoryTheory.LaxFunctorCategoryTheory.Lax.OplaxTrans.Modification.app · cited by 28Modification.appCategoryTheory.Lax.OplaxTrans.Modification · cited by 14OplaxTrans.ModificationModification.vcompCITED BYCITES

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