Theorems · Definition · category theory
CategoryTheory.Under.right
{T : Type u₁} → [inst : CategoryTheory.Category.{v₁, u₁} T] → {X : T} → CategoryTheory.Under X → TThe underlying object of an object in Under X.
- Defined in
- Mathlib.CategoryTheory.Comma.Over.Basic
- Cited by
- 128 results in Mathlib
- Foundations
- Depth 25 from the axioms, rests on 124 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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.Comma.rightproof · cited by 727
- CategoryTheory.Understatement and proof · cited by 276
Cited by162
Results whose statement or proof uses this declaration.
- CategoryTheory.Under.homstatement · cited by 73
- CategoryTheory.Under.Hom.rightstatement · cited by 67
- CategoryTheory.Under.homMkstatement and proof · cited by 43
- CommRingCat.toAlgHomstatement and proof · cited by 13
- CategoryTheory.Under.isoMkstatement and proof · cited by 11
- CategoryTheory.MorphismProperty.underObjproof · cited by 10
- CategoryTheory.Under.wstatement · cited by 10
- commAlgCatEquivUnderproof · cited by 9
- CategoryTheory.Under.UnderMorphism.extstatement · cited by 8
- CommRingCat.tensorProdproof · cited by 7
- CategoryTheory.Limits.pushoutCoconeEquivBinaryCofanproof · cited by 7
- CategoryTheory.Under.equivalenceOfIsInitialproof · cited by 7