Theorems · Definition · category theory

CategoryTheory.Bicategory.Adj.Hom.recOn

{B : Type u} →
  [inst : CategoryTheory.Bicategory B] →
    {a b : B} →
      {motive : CategoryTheory.Bicategory.Adj.Hom a b → Sort u_1} →
        (t : CategoryTheory.Bicategory.Adj.Hom a b) →
          ({l : a ⟶ b} →
              {r : b ⟶ a} → (adj : CategoryTheory.Bicategory.Adjunction l r) → motive { l := l, r := r, adj := adj }) →
            motive t

Defined in: Mathlib.CategoryTheory.Bicategory.Adjunction.Adj
Cited by: 0 results in Mathlib
Foundations: Depth 5 from the axioms · uses no axioms
Assumes: CategoryTheory.Bicategory

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Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.Bicategorystatement and proof · cited by 1,587
CategoryTheory.Bicategory.Adjunctionstatement and proof · cited by 83
CategoryTheory.Bicategory.Adj.Homstatement and proof · cited by 6

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