Theorems · Definition · category theory

CategoryTheory.Oplax.LaxTrans.rightUnitor

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        {F G : CategoryTheory.OplaxFunctor B C} →
          (η : F ⟶ G) → CategoryTheory.CategoryStruct.comp η (CategoryTheory.CategoryStruct.id G) ≅ η

Right unitor for the vertical composition of lax natural transformations.

Defined in: Mathlib.CategoryTheory.Bicategory.FunctorBicategory.Oplax
Cited by: 2 results in Mathlib
Foundations: Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Bicategory CategoryTheory.Bicategory

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

Cites10

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

Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.CategoryStruct.compstatement · cited by 17,999
CategoryTheory.CategoryStruct.idstatement · cited by 6,235
CategoryTheory.Isostatement · cited by 3,963
CategoryTheory.Bicategorystatement and proof · cited by 1,587
CategoryTheory.Bicategory.rightUnitorproof · cited by 308
CategoryTheory.OplaxFunctorstatement and proof · cited by 253
CategoryTheory.Oplax.LaxTrans.appproof · cited by 48
CategoryTheory.Oplax.LaxTrans.homCategorystatement · cited by 22
CategoryTheory.Oplax.LaxTrans.isoMkproof · cited by 2

Cited by3

Results whose statement or proof uses this declaration.

CategoryTheory.Oplax.LaxTrans.OplaxFunctor.bicategoryproof · cited by 8
CategoryTheory.Oplax.LaxTrans.rightUnitor_hom_as_appstatement and proof · cited by 0
CategoryTheory.Oplax.LaxTrans.rightUnitor_inv_as_appstatement and proof · cited by 0