Theorems · Theorem · category theory

SheafOfModules.sectionMap_freeMap_freeSection

∀ {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] {I J_1 : Type u} (f : I → J_1) (i : I),
  SheafOfModules.sectionsMap (SheafOfModules.freeMap f) (SheafOfModules.freeSection i) =
    SheafOfModules.freeSection (f i)

Defined in

Mathlib.Algebra.Category.ModuleCat.Sheaf.Free

Cited by

0 results in Mathlib

Foundations

Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.HasWeakSheafifyCategoryTheory.GrothendieckTopology.WEqualsLocallyBijective