Theorems · Definition · category theory

SheafOfModules.over

{D : Type u₂} →
  [inst : CategoryTheory.Category.{v₂, u₂} D] →
    {K : CategoryTheory.GrothendieckTopology D} →
      {R : CategoryTheory.Sheaf K RingCat} → SheafOfModules R → (X : D) → SheafOfModules (R.over X)

Given M : SheafOfModules R and X : D, this is the restriction of M over the sheaf of rings R.over X on the category Over X.

Defined in

Mathlib.Algebra.Category.ModuleCat.Sheaf.PushforwardContinuous

Cited by

15 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category