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Theorems · Theorem · category theory

CategoryTheory.DifferentialObject.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]
  {A B : CategoryTheory.DifferentialObject S C} {f g : A ⟶ B},
  autoParam (f.f = g.f) CategoryTheory.DifferentialObject.ext._auto_1 → f = g
Defined in
Mathlib.CategoryTheory.DifferentialObject
Cited by
1 results in Mathlib
Foundations
Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoidWithOneCategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.HasShift
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.DifferentialObject.ext_iff · cited by 0DifferentialObject.ext_iffCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Limits.HasZeroMorphisms · cited by 3275Limits.HasZeroMorphismsCategoryTheory.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.Hom.ext · cited by 2Hom.extDifferentialObject.extCITED BYCITES

Cites9

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Cited by1

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