Theorems · Definition · category theory
CategoryTheory.DifferentialObject.Hom.f
{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.Hom Y → (X.obj ⟶ Y.obj)The morphism between underlying objects of the two differentiable objects.
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- AddMonoidWithOnestatement and proof · cited by 313
- CategoryTheory.DifferentialObjectstatement and proof · cited by 61
- CategoryTheory.DifferentialObject.objstatement · cited by 50
- CategoryTheory.DifferentialObject.Homstatement and proof · cited by 9
Cited by34
Results whose statement or proof uses this declaration.
- HomologicalComplex.dgoToHomologicalComplexproof · cited by 10
- CategoryTheory.DifferentialObject.shiftFunctorproof · cited by 7
- CategoryTheory.DifferentialObject.isoAppproof · cited by 5
- CategoryTheory.Functor.mapDifferentialObjectproof · cited by 3
- CategoryTheory.DifferentialObject.Hom.extstatement and proof · cited by 2
- CategoryTheory.DifferentialObject.eqToHom_f'statement and proof · cited by 1
- CategoryTheory.DifferentialObject.extstatement and proof · cited by 1
- CategoryTheory.DifferentialObject.Hom.commstatement · cited by 1
- CategoryTheory.DifferentialObject.Hom.compproof · cited by 1
- CategoryTheory.DifferentialObject.comp_fstatement · cited by 0
- HomologicalComplex.homologicalComplexToDGO_map_fstatement and proof · cited by 0
- CategoryTheory.Functor.mapDifferentialObject_map_fstatement and proof · cited by 0