Theorems · Definition · category theory

CategoryTheory.Oplax.StrongTrans.Hom.recOn

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        {F G : CategoryTheory.OplaxFunctor B C} →
          {η θ : F ⟶ G} →
            {motive : CategoryTheory.Oplax.StrongTrans.Hom η θ → Sort u} →
              (t : CategoryTheory.Oplax.StrongTrans.Hom η θ) →
                ((as : CategoryTheory.Oplax.StrongTrans.Modification η θ) → motive { as := as }) → motive t

Defined in: Mathlib.CategoryTheory.Bicategory.Modification.Oplax
Cited by: 0 results in Mathlib
Foundations: Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Bicategory CategoryTheory.Bicategory

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Quiver.Homstatement and proof · cited by 32,603
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.Homstatement and proof · cited by 6

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