Theorems · Definition · category theory
CategoryTheory.CostructuredArrow.hom
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{D : Type u₂} →
[inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
{S : CategoryTheory.Functor C D} → {T : D} → (X : CategoryTheory.CostructuredArrow S T) → S.obj X.left ⟶ TThe morphism that is part of a costructured arrow.
- Cited by
- 179 results in Mathlib
- Foundations
- Depth 25 from the axioms, rests on 125 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.CostructuredArrowstatement and proof · cited by 536
- CategoryTheory.Comma.homproof · cited by 490
- CategoryTheory.CostructuredArrow.leftstatement · cited by 202
Cited by236
Results whose statement or proof uses this declaration.
- CategoryTheory.CostructuredArrow.homMkstatement and proof · cited by 55
- CategoryTheory.Functor.LeftExtension.coconeAtproof · cited by 20
- CategoryTheory.OverPresheafAux.restrictedYonedaObjproof · cited by 17
- CategoryTheory.CostructuredArrow.grothendieckPrecompFunctorToCommaproof · cited by 15
- CategoryTheory.CostructuredArrow.isoMkstatement and proof · cited by 14
- CategoryTheory.Functor.rightKanExtensionCounitproof · cited by 11
- CategoryTheory.CostructuredArrow.wstatement and proof · cited by 10
- CategoryTheory.CostructuredArrow.preEquivalence.inverseproof · cited by 9
- CategoryTheory.Functor.RightExtension.coneAtproof · cited by 9
- CategoryTheory.Comma.costructuredArrowSndInclusionproof · cited by 9
- CategoryTheory.Functor.costructuredArrowMapCoconeproof · cited by 8
- CategoryTheory.CostructuredArrow.ofCommaFstEquivalenceFunctorproof · cited by 8
Showing the 200 most cited of 236.