Theorems · Definition · category theory
CategoryTheory.Comma.right
{A : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} A] →
{B : Type u₂} →
[inst_1 : CategoryTheory.Category.{v₂, u₂} B] →
{T : Type u₃} →
[inst_2 : CategoryTheory.Category.{v₃, u₃} T] →
{L : CategoryTheory.Functor A T} → {R : CategoryTheory.Functor B T} → CategoryTheory.Comma L R → BThe right subobject
- Defined in
- Mathlib.CategoryTheory.Comma.Basic
- Cited by
- 727 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 4 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.Commastatement and proof · cited by 566
Cited by825
Results whose statement or proof uses this declaration.
- CategoryTheory.Comma.homstatement · cited by 490
- CategoryTheory.Arrow.rightproof · cited by 423
- CategoryTheory.CommaMorphism.rightstatement · cited by 391
- CategoryTheory.StructuredArrow.rightproof · cited by 213
- CategoryTheory.Under.rightproof · cited by 128
- CategoryTheory.CostructuredArrow.homMkproof · cited by 55
- CategoryTheory.Comma.mapRightproof · cited by 52
- CategoryTheory.Comma.sndproof · cited by 51
- CategoryTheory.Comma.mapLeftproof · cited by 48
- CategoryTheory.Comma.mapproof · cited by 28
- CategoryTheory.MorphismProperty.Comma.mapRightstatement and proof · cited by 28
- CategoryTheory.MorphismProperty.Comma.mapLeftstatement and proof · cited by 28
Showing the 200 most cited of 825.