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PresheafOfModules.Hom.ext

∀ {C : Type u₁} {inst : CategoryTheory.Category.{v₁, u₁} C} {R : CategoryTheory.Functor Cᵒᵖ RingCat}
  {M₁ M₂ : PresheafOfModules R} {x y : M₁.Hom M₂}, x.app = y.app → x = y
Defined in
Mathlib.Algebra.Category.ModuleCat.Presheaf
Cited by
2 results in Mathlib
Foundations
Depth 38 from the axioms · uses propext, Quot.sound
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Around this declaration

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PresheafOfModules.hom_ext · cited by 14PresheafOfModules.hom_extPresheafOfModules.Hom.ext_iff · cited by 0Hom.ext_iffCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.map · cited by 8698Functor.mapOpposite · cited by 8081OppositeModuleCat · cited by 1429ModuleCatRingCat · cited by 473RingCatRingCat.carrier · cited by 279RingCat.carrierPresheafOfModules · cited by 247PresheafOfModulesPresheafOfModules.obj · cited by 186PresheafOfModules.objModuleCat.restrictScalars · cited by 148ModuleCat.restrictScalarsPresheafOfModules.Hom.app · cited by 88Hom.appRingCat.Hom.hom · cited by 85Hom.homHom.extCITED BYCITES

Cites17

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Cited by2

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