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Theorems · Theorem · category theory

CategoryTheory.DifferentialObject.Hom.ext

∀ {S : Type u_1} {inst : AddMonoidWithOne S} {C : Type u} {inst_1 : CategoryTheory.Category.{v, u} C}
  {inst_2 : CategoryTheory.Limits.HasZeroMorphisms C} {inst_3 : CategoryTheory.HasShift C S}
  {X Y : CategoryTheory.DifferentialObject S C} {x y : X.Hom Y}, x.f = y.f → x = y
Defined in
Mathlib.CategoryTheory.DifferentialObject
Cited by
2 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
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CategoryTheory.DifferentialObject.ext · cited by 1DifferentialObject.extCategoryTheory.DifferentialObject.Hom.ext_iff · cited by 0Hom.ext_iffCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Functor.map · cited by 8698Functor.mapCategoryTheory.Limits.HasZeroMorphisms · cited by 3275Limits.HasZeroMorphismsCategoryTheory.shiftFunctor · cited by 1553CategoryTheory.shiftFunct…CategoryTheory.HasShift · cited by 1527CategoryTheory.HasShiftAddMonoidWithOne · cited by 313AddMonoidWithOneCategoryTheory.DifferentialObject · cited by 61CategoryTheory.Differenti…CategoryTheory.DifferentialObject.obj · cited by 50DifferentialObject.objCategoryTheory.DifferentialObject.Hom.f · cited by 28Hom.fCategoryTheory.DifferentialObject.d · cited by 23DifferentialObject.dCategoryTheory.DifferentialObject.Hom · cited by 9DifferentialObject.HomHom.extCITED BYCITES

Cites13

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Cited by2

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