Theorems · Definition · category theory

CategoryTheory.ExponentialIdeal.recOn

{C : Type u₁} →
  {D : Type u₂} →
    [inst : CategoryTheory.Category.{v₁, u₁} C] →
      [inst_1 : CategoryTheory.Category.{v₁, u₂} D] →
        {i : CategoryTheory.Functor D C} →
          [inst_2 : CategoryTheory.CartesianMonoidalCategory C] →
            [inst_3 : CategoryTheory.MonoidalClosed C] →
              {motive : CategoryTheory.ExponentialIdeal i → Sort u} →
                (t : CategoryTheory.ExponentialIdeal i) →
                  ((exp_closed : ∀ {B : C}, i.essImage B → ∀ (A : C), i.essImage (A ⟹ B)) → motive ⋯) → motive t

Defined in

Mathlib.CategoryTheory.Monoidal.Closed.Ideal

Cited by

0 results in Mathlib

Foundations

Depth 7 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.MonoidalClosed