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Theorems · Definition · category theory

CategoryTheory.Oplax.StrongTrans.toOplax

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

The underlying oplax natural transformation of a strong natural transformation.

Defined in
Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Oplax
Cited by
21 results in Mathlib
Foundations
Depth 10 from the axioms · uses propext
Assumes
CategoryTheory.BicategoryCategoryTheory.Bicategory
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Around this declaration

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CategoryTheory.Oplax.StrongTrans.vcomp · cited by 5StrongTrans.vcompCategoryTheory.Oplax.StrongTrans.Modification.toOplax · cited by 4Modification.toOplaxCategoryTheory.Oplax.StrongTrans.whiskerLeft_naturality_id · cited by 3StrongTrans.whiskerLeft_n…CategoryTheory.Oplax.StrongTrans.whiskerLeft_naturality_comp · cited by 3StrongTrans.whiskerLeft_n…CategoryTheory.Oplax.StrongTrans.whiskerLeft_naturality_naturality · cited by 3StrongTrans.whiskerLeft_n…CategoryTheory.Oplax.StrongTrans.whiskerRight_naturality_comp · cited by 3StrongTrans.whiskerRight_…CategoryTheory.Oplax.StrongTrans.whiskerRight_naturality_id · cited by 3StrongTrans.whiskerRight_…CategoryTheory.Oplax.StrongTrans.whiskerRight_naturality_naturality · cited by 3StrongTrans.whiskerRight_…CategoryTheory.Oplax.StrongTrans.Modification.equivOplax · cited by 2Modification.equivOplaxCategoryTheory.Oplax.StrongTrans.Modification.mkOfOplax · cited by 2Modification.mkOfOplaxCategoryTheory.Oplax.StrongTrans.Modification.toOplax_app · cited by 0Modification.toOplax_appCategoryTheory.Oplax.StrongTrans.categoryStruct_comp_naturality · cited by 0StrongTrans.categoryStruc…CategoryTheory.Oplax.StrongTrans.id.toOplax · cited by 0id.toOplaxCategoryTheory.Oplax.StrongTrans.toOplax_app · cited by 0StrongTrans.toOplax_appCategoryTheory.Oplax.StrongTrans.toOplax_naturality · cited by 0StrongTrans.toOplax_natur…Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.Bicategory · cited by 1587CategoryTheory.BicategoryCategoryTheory.OplaxFunctor · cited by 253CategoryTheory.OplaxFunct…CategoryTheory.Oplax.StrongTrans.app · cited by 60StrongTrans.appCategoryTheory.Oplax.StrongTrans.naturality · cited by 46StrongTrans.naturalityCategoryTheory.Oplax.StrongTrans · cited by 37Oplax.StrongTransCategoryTheory.Oplax.OplaxTrans · cited by 24Oplax.OplaxTransStrongTrans.toOplaxCITED BYCITES

Cites8

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Cited by25

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