Theorems · Definition · category theory

CategoryTheory.Oplax.StrongTrans.Modification.vcomp

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        {F G : CategoryTheory.OplaxFunctor B C} →
          {η θ ι : F ⟶ G} →
            CategoryTheory.Oplax.StrongTrans.Modification η θ →
              CategoryTheory.Oplax.StrongTrans.Modification θ ι → CategoryTheory.Oplax.StrongTrans.Modification η ι

Vertical composition of modifications.

Defined in: Mathlib.CategoryTheory.Bicategory.Modification.Oplax
Cited by: 1 results in Mathlib
Foundations: Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Bicategory CategoryTheory.Bicategory

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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.compproof · cited by 17,999
CategoryTheory.Bicategorystatement and proof · cited by 1,587
CategoryTheory.OplaxFunctorstatement and proof · cited by 253
CategoryTheory.Oplax.StrongTrans.categoryStructstatement · cited by 33
CategoryTheory.Oplax.StrongTrans.Modificationstatement and proof · cited by 24
CategoryTheory.Oplax.StrongTrans.Modification.appproof · cited by 20

Cited by1

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CategoryTheory.Oplax.StrongTrans.Modification.vcomp_appstatement and proof · cited by 0