Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.IsConservativeFamilyOfPoints.jointlyReflectIsomorphisms_type

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.GrothendieckTopology C}
  {P : CategoryTheory.ObjectProperty J.Point},
  P.IsConservativeFamilyOfPoints → CategoryTheory.JointlyReflectIsomorphisms fun Φ => Φ.obj.sheafFiber

Defined in

Mathlib.CategoryTheory.Sites.Point.Conservative

Cited by

1 results in Mathlib

Foundations

Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category