Mathlib Map

Theorems · Definition · category theory

CategoryTheory.Lax.OplaxTrans.vComp

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        {F G H : CategoryTheory.LaxFunctor B C} →
          CategoryTheory.Lax.OplaxTrans F G → CategoryTheory.Lax.OplaxTrans G H → CategoryTheory.Lax.OplaxTrans F H

Vertical composition of oplax transformations.

Defined in
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Lax
Cited by
0 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.BicategoryCategoryTheory.Bicategory
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryCategoryTheory.LaxFunctor · cited by 201CategoryTheory.LaxFunctorCategoryTheory.Lax.OplaxTrans · cited by 14Lax.OplaxTransCategoryTheory.Lax.OplaxTrans.vCompApp · cited by 3OplaxTrans.vCompAppCategoryTheory.Lax.OplaxTrans.vCompNaturality · cited by 3OplaxTrans.vCompNaturalityCategoryTheory.Lax.OplaxTrans.vComp_naturality_id · cited by 0OplaxTrans.vComp_naturali…CategoryTheory.Lax.OplaxTrans.vComp_naturality_comp · cited by 0OplaxTrans.vComp_naturali…CategoryTheory.Lax.OplaxTrans.vComp_naturality_naturality · cited by 0OplaxTrans.vComp_naturali…OplaxTrans.vCompCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.