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Theorems · Definition · category theory

CategoryTheory.PrelaxFunctor.comp

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        {D : Type u₃} →
          [inst_2 : CategoryTheory.Bicategory D] →
            CategoryTheory.PrelaxFunctor B C → CategoryTheory.PrelaxFunctor C D → CategoryTheory.PrelaxFunctor B D

Composition of prelax functors.

Defined in
Mathlib.CategoryTheory.Bicategory.Functor.Prelax
Cited by
17 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms
Assumes
CategoryTheory.BicategoryCategoryTheory.BicategoryCategoryTheory.Bicategory

Around this declaration

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

CategoryTheory.LaxFunctor.comp · cited by 3LaxFunctor.compCategoryTheory.Pseudofunctor.comp · cited by 3Pseudofunctor.compCategoryTheory.OplaxFunctor.comp · cited by 0OplaxFunctor.compCategoryTheory.StrictPseudofunctor.comp_mapComp_hom · cited by 0StrictPseudofunctor.comp_…CategoryTheory.StrictPseudofunctor.comp_mapComp_inv · cited by 0StrictPseudofunctor.comp_…CategoryTheory.StrictPseudofunctor.comp_mapId_hom · cited by 0StrictPseudofunctor.comp_…CategoryTheory.StrictPseudofunctor.comp_mapId_inv · cited by 0StrictPseudofunctor.comp_…CategoryTheory.LaxFunctor.comp_mapComp · cited by 0LaxFunctor.comp_mapCompCategoryTheory.LaxFunctor.comp_mapId · cited by 0LaxFunctor.comp_mapIdCategoryTheory.LaxFunctor.comp_toPrelaxFunctor · cited by 0LaxFunctor.comp_toPrelaxF…CategoryTheory.PrelaxFunctor.comp_toPrelaxFunctorStruct · cited by 0PrelaxFunctor.comp_toPrel…CategoryTheory.StrictlyUnitaryPseudofunctor.comp_mapComp_hom · cited by 0StrictlyUnitaryPseudofunc…CategoryTheory.StrictlyUnitaryPseudofunctor.comp_mapComp_inv · cited by 0StrictlyUnitaryPseudofunc…CategoryTheory.StrictlyUnitaryPseudofunctor.comp_mapId_hom · cited by 0StrictlyUnitaryPseudofunc…CategoryTheory.StrictlyUnitaryPseudofunctor.comp_mapId_inv · cited by 0StrictlyUnitaryPseudofunc…CategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryCategoryTheory.PrelaxFunctor.toPrelaxFunctorStruct · cited by 1154PrelaxFunctor.toPrelaxFun…CategoryTheory.PrelaxFunctor · cited by 48CategoryTheory.PrelaxFunc…CategoryTheory.PrelaxFunctorStruct · cited by 11CategoryTheory.PrelaxFunc…CategoryTheory.PrelaxFunctorStruct.comp · cited by 3PrelaxFunctorStruct.compPrelaxFunctor.compCITED BYCITES

Cites5

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Cited by20

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