Theorems · Definition · category theory

CategoryTheory.ObjectProperty.IsConservativeFamilyOfPoints.recOn

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : CategoryTheory.GrothendieckTopology C} →
      {P : CategoryTheory.ObjectProperty J.Point} →
        {motive : P.IsConservativeFamilyOfPoints → Sort u_1} →
          (t : P.IsConservativeFamilyOfPoints) →
            ((jointlyReflectIsomorphisms_type : CategoryTheory.JointlyReflectIsomorphisms fun Φ => Φ.obj.sheafFiber) →
                motive ⋯) →
              motive t

Defined in

Mathlib.CategoryTheory.Sites.Point.Conservative

Cited by

0 results in Mathlib

Foundations

Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category