Theorems · Definition · category theory

CategoryTheory.Lax.StrongTrans.toLax

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

The underlying lax natural transformation of a strong natural transformation.

Defined in: Mathlib.CategoryTheory.Bicategory.NaturalTransformation.Lax
Cited by: 8 results in Mathlib
Foundations: Depth 10 from the axioms · uses propext
Assumes: CategoryTheory.Bicategory CategoryTheory.Bicategory

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

Cites8

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

Quiver.Homproof · cited by 32,603
CategoryTheory.Iso.homproof · cited by 7,684
CategoryTheory.Bicategorystatement and proof · cited by 1,587
CategoryTheory.LaxFunctorstatement and proof · cited by 201
CategoryTheory.Lax.LaxTransstatement · cited by 17
CategoryTheory.Lax.StrongTransstatement and proof · cited by 16
CategoryTheory.Lax.StrongTrans.appproof · cited by 15
CategoryTheory.Lax.StrongTrans.naturalityproof · cited by 13

Cited by9

Results whose statement or proof uses this declaration.

CategoryTheory.Lax.StrongTrans.vCompproof · cited by 3
CategoryTheory.Lax.StrongTrans.toLax_appstatement and proof · cited by 0
CategoryTheory.Lax.StrongTrans.toLax_naturalitystatement and proof · cited by 0
CategoryTheory.Lax.StrongTrans.vComp_appstatement · cited by 0
CategoryTheory.Lax.StrongTrans.vComp_naturality_homstatement · cited by 0
CategoryTheory.Lax.StrongTrans.vComp_naturality_invstatement · cited by 0
CategoryTheory.Lax.StrongTrans.id.toLaxstatement · cited by 0
CategoryTheory.Lax.StrongTrans.categoryStruct_comp_appstatement · cited by 0
CategoryTheory.Lax.StrongTrans.categoryStruct_comp_naturalitystatement · cited by 0