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Theorems · Inductive type · category theory

CategoryTheory.DifferentialObject.Hom

{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] →
            CategoryTheory.DifferentialObject S C → CategoryTheory.DifferentialObject S C → Type v

A morphism of differential objects is a morphism commuting with the differentials.

Defined in
Mathlib.CategoryTheory.DifferentialObject
Cited by
9 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
AddMonoidWithOneCategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.HasShift
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.DifferentialObject.Hom.f · cited by 28Hom.fCategoryTheory.DifferentialObject.Hom.ext · cited by 2Hom.extCategoryTheory.DifferentialObject.Hom.mk.noConfusion · cited by 1mk.noConfusionCategoryTheory.DifferentialObject.Hom.comm · cited by 1Hom.commCategoryTheory.DifferentialObject.Hom.comp · cited by 1Hom.compCategoryTheory.DifferentialObject.Hom.id · cited by 1Hom.idCategoryTheory.DifferentialObject.Hom.mk.inj · cited by 1mk.injCategoryTheory.DifferentialObject.Hom.mk.injEq · cited by 0mk.injEqCategoryTheory.DifferentialObject.Hom.mk.sizeOf_spec · cited by 0mk.sizeOf_specCategoryTheory.DifferentialObject.Hom.casesOn · cited by 0Hom.casesOnCategoryTheory.DifferentialObject.Hom.comm_assoc · cited by 0Hom.comm_assocCategoryTheory.DifferentialObject.Hom.comp_f · cited by 0Hom.comp_fCategoryTheory.DifferentialObject.Hom.ctorIdx · cited by 0Hom.ctorIdxCategoryTheory.DifferentialObject.Hom.ext_iff · cited by 0Hom.ext_iffCategoryTheory.DifferentialObject.Hom.noConfusion · cited by 0Hom.noConfusionCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphisms · cited by 3275Limits.HasZeroMorphismsCategoryTheory.HasShift · cited by 1527CategoryTheory.HasShiftAddMonoidWithOne · cited by 313AddMonoidWithOneCategoryTheory.DifferentialObject · cited by 61CategoryTheory.Differenti…DifferentialObject.HomCITED BYCITES

Cites5

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Cited by18

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