Theorems · Theorem · category theory

PresheafOfModules.Submodule.homOfLE_app_hom_apply_coe

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {R : CategoryTheory.Functor Cᵒᵖ RingCat}
  {M : PresheafOfModules R} {N₁ N₂ : M.Submodule} (hle : N₁ ≤ N₂) (X : Cᵒᵖ)
  (a : ↑(N₁.toPresheafOfModules.presheaf.obj X)),
  ↑((ModuleCat.Hom.hom ((PresheafOfModules.Submodule.homOfLE hle).app X)) a) = ↑a

Defined in

Mathlib.Algebra.Category.ModuleCat.Presheaf.Submodule

Cited by

0 results in Mathlib

Foundations

Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category