Theorems · Theorem · category theory

SheafOfModules.freeFunctor_map

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {J : CategoryTheory.GrothendieckTopology C}
  {R : CategoryTheory.Sheaf J RingCat} [inst_1 : CategoryTheory.HasWeakSheafify J AddCommGrpCat]
  [inst_2 : J.WEqualsLocallyBijective AddCommGrpCat] {X Y : Type u} (f : X ⟶ Y),
  SheafOfModules.freeFunctor.map f = SheafOfModules.freeMap ⇑(CategoryTheory.ConcreteCategory.hom f)

Defined in

Mathlib.Algebra.Category.ModuleCat.Sheaf.Free

Cited by

2 results in Mathlib

Foundations

Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.HasWeakSheafifyCategoryTheory.GrothendieckTopology.WEqualsLocallyBijective