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Theorems · Definition · category theory

CategoryTheory.Pseudofunctor.StrongTrans.toOplax

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        {F G : CategoryTheory.Pseudofunctor B C} →
          F.StrongTrans G → CategoryTheory.Oplax.StrongTrans F.toOplax G.toOplax

The strong transformation of oplax functors induced by a strong transformation of pseudofunctors.

Defined in
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Pseudo
Cited by
16 results in Mathlib
Foundations
Depth 12 from the axioms · uses propext, Quot.sound
Assumes
CategoryTheory.BicategoryCategoryTheory.Bicategory
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Around this declaration

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

CategoryTheory.Pseudofunctor.StrongTrans.Modification.toOplax · cited by 4Modification.toOplaxCategoryTheory.Pseudofunctor.StrongTrans.whiskerLeft_naturality_comp · cited by 2StrongTrans.whiskerLeft_n…CategoryTheory.Pseudofunctor.StrongTrans.whiskerLeft_naturality_id · cited by 2StrongTrans.whiskerLeft_n…CategoryTheory.Pseudofunctor.StrongTrans.Modification.equivOplax · cited by 2Modification.equivOplaxCategoryTheory.Pseudofunctor.StrongTrans.whiskerLeft_naturality_naturality · cited by 2StrongTrans.whiskerLeft_n…CategoryTheory.Pseudofunctor.StrongTrans.whiskerRight_naturality_comp · cited by 2StrongTrans.whiskerRight_…CategoryTheory.Pseudofunctor.StrongTrans.whiskerRight_naturality_id · cited by 2StrongTrans.whiskerRight_…CategoryTheory.Pseudofunctor.StrongTrans.Modification.mkOfOplax · cited by 2Modification.mkOfOplaxCategoryTheory.Pseudofunctor.StrongTrans.whiskerRight_naturality_naturality · cited by 2StrongTrans.whiskerRight_…CategoryTheory.Pseudofunctor.StrongTrans.id.toOplax · cited by 0id.toOplaxCategoryTheory.Pseudofunctor.StrongTrans.toOplax_app · cited by 0StrongTrans.toOplax_appCategoryTheory.Pseudofunctor.StrongTrans.toOplax_naturality · cited by 0StrongTrans.toOplax_natur…CategoryTheory.Pseudofunctor.StrongTrans.categoryStruct_comp_naturality_hom · cited by 0StrongTrans.categoryStruc…CategoryTheory.Pseudofunctor.StrongTrans.categoryStruct_comp_naturality_inv · cited by 0StrongTrans.categoryStruc…CategoryTheory.Pseudofunctor.StrongTrans.whiskerLeft_as_app · cited by 0StrongTrans.whiskerLeft_a…Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryCategoryTheory.Pseudofunctor · cited by 571CategoryTheory.Pseudofunc…CategoryTheory.Pseudofunctor.StrongTrans.app · cited by 106StrongTrans.appCategoryTheory.Pseudofunctor.StrongTrans.naturality · cited by 81StrongTrans.naturalityCategoryTheory.Oplax.StrongTrans · cited by 37Oplax.StrongTransCategoryTheory.Pseudofunctor.toOplax · cited by 19Pseudofunctor.toOplaxCategoryTheory.Pseudofunctor.StrongTrans · cited by 13Pseudofunctor.StrongTransStrongTrans.toOplaxCITED BYCITES

Cites8

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Cited by20

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