Theorems · Theorem · category theory

SheafOfModules.unitHomEquiv_comp_apply

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {J : CategoryTheory.GrothendieckTopology C}
  {R : CategoryTheory.Sheaf J RingCat} {M N : SheafOfModules R} (f : SheafOfModules.unit R ⟶ M) (p : M ⟶ N),
  N.unitHomEquiv (CategoryTheory.CategoryStruct.comp f p) = SheafOfModules.sectionsMap p (M.unitHomEquiv f)

Defined in

Mathlib.Algebra.Category.ModuleCat.Sheaf

Cited by

0 results in Mathlib

Foundations

Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category