Theorems · Definition · category theory

PresheafOfModules.IsLocallySurjective

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    CategoryTheory.GrothendieckTopology C →
      {R : CategoryTheory.Functor Cᵒᵖ RingCat} → {M₁ M₂ : PresheafOfModules R} → (M₁ ⟶ M₂) → Prop

A morphism of presheaves of modules is locally surjective if the underlying morphism of presheaves of abelian groups is.

Defined in

Mathlib.Algebra.Category.ModuleCat.Sheaf

Cited by

2 results in Mathlib

Foundations

Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category