Theorems · Definition · category theory
CategoryTheory.over
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
(X S : C) → autoParam (CategoryTheory.OverClass X S) CategoryTheory.over._auto_1 → (X ⟶ S)The structure morphism X ↘ S : X ⟶ S given OverClass X S.
The instance argument is an optParam instead so that it appears in the discrimination tree.
- Cited by
- 76 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
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
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.OverClassstatement and proof · cited by 68
- CategoryTheory.OverClass.homproof · cited by 0
Cited by96
Results whose statement or proof uses this declaration.
- CategoryTheory.OverClass.asOverproof · cited by 16
- AlgebraicGeometry.AffineSpace.mapproof · cited by 14
- CategoryTheory.comp_overstatement · cited by 14
- AlgebraicGeometry.AffineSpace.isoOfIsAffineproof · cited by 10
- AlgebraicGeometry.AffineSpace.reindexproof · cited by 9
- AlgebraicGeometry.Scheme.asOverPropstatement and proof · cited by 8
- AlgebraicGeometry.AffineSpace.hom_extstatement and proof · cited by 8
- AlgebraicGeometry.Scheme.Hom.asOverPropstatement and proof · cited by 7
- AlgebraicGeometry.AffineSpace.map_appTop_coordproof · cited by 5
- AlgebraicGeometry.AffineSpace.map_overstatement and proof · cited by 5
- AlgebraicGeometry.Scheme.smallPretopologyproof · cited by 5
- AlgebraicGeometry.Scheme.Cover.toPresieveOverPropstatement and proof · cited by 5