Theorems · Definition · category theory
CategoryTheory.StructuredArrow.right
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{D : Type u₂} →
[inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
{S : D} → {T : CategoryTheory.Functor C D} → CategoryTheory.StructuredArrow S T → CThe right object of a structured arrow.
- Cited by
- 213 results in Mathlib
- Foundations
- Depth 24 from the axioms, rests on 122 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Comma.rightproof · cited by 727
- CategoryTheory.StructuredArrowstatement and proof · cited by 370
Cited by269
Results whose statement or proof uses this declaration.
- CategoryTheory.StructuredArrow.homstatement · cited by 150
- CategoryTheory.StructuredArrow.Hom.rightstatement · cited by 82
- CategoryTheory.StructuredArrow.homMkstatement and proof · cited by 47
- CategoryTheory.Functor.leftKanExtensionproof · cited by 29
- CategoryTheory.Bicategory.LeftLift.liftproof · cited by 21
- CategoryTheory.Functor.LeftExtension.coconeAtproof · cited by 20
- CategoryTheory.Bicategory.LeftExtension.extensionproof · cited by 19
- CategoryTheory.StructuredArrow.wstatement · cited by 16
- CategoryTheory.StructuredArrow.isoMkstatement and proof · cited by 14
- CategoryTheory.StructuredArrow.commaMapEquivalenceFunctorproof · cited by 13
- CategoryTheory.StructuredArrow.preEquivalenceInversestatement and proof · cited by 9
- CategoryTheory.Functor.RightExtension.coneAtproof · cited by 9
Showing the 200 most cited of 269.