Theorems · Theorem · category theory

PresheafOfModules.Submodule.sup_obj

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {R : CategoryTheory.Functor Cᵒᵖ RingCat}
  {M : PresheafOfModules R} (F G : M.Submodule) (X : Cᵒᵖ), (SemilatticeSup.sup F G).obj X = F.obj X ⊔ G.obj X

Defined in

Mathlib.Algebra.Category.ModuleCat.Presheaf.Submodule

Cited by

0 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category