Theorems · Inductive type · category theory

SheafOfModules.GeneratingSections

{C : Type u'} →
  [inst : CategoryTheory.Category.{v', u'} C] →
    {J : CategoryTheory.GrothendieckTopology C} →
      {R : CategoryTheory.Sheaf J RingCat} →
        [CategoryTheory.HasWeakSheafify J AddCommGrpCat] →
          [J.WEqualsLocallyBijective AddCommGrpCat] → SheafOfModules R → Type (max (u + 1) u')

The type of sections which generate a sheaf of modules.

Defined in

Mathlib.Algebra.Category.ModuleCat.Sheaf.Generators

Cited by

27 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.HasWeakSheafifyCategoryTheory.GrothendieckTopology.WEqualsLocallyBijective