Theorems · Definition · category theory

CategoryTheory.Functor.IsDense.casesOn

{C : Type u₁} →
  {D : Type u₂} →
    [inst : CategoryTheory.Category.{v₁, u₁} C] →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {F : CategoryTheory.Functor C D} →
          {motive : F.IsDense → Sort u} →
            (t : F.IsDense) → ((isDenseAt : ∀ (Y : D), F.isDenseAt Y) → motive ⋯) → motive t

Defined in: Mathlib.CategoryTheory.Functor.KanExtension.Dense
Cited by: 0 results in Mathlib
Foundations: Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.Functor.IsDensestatement and proof · cited by 19
CategoryTheory.Functor.isDenseAtstatement and proof · cited by 6

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