Theorems · Theorem · algebraic geometry
AlgebraicGeometry.universallyInjective_eq_diagonal
@AlgebraicGeometry.UniversallyInjective = CategoryTheory.MorphismProperty.diagonal @AlgebraicGeometry.Surjective
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- TopologicalSpaceproof · cited by 24,529
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- TopCat.carrierproof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertyproof · cited by 2,179
- le_antisymmproof · cited by 2,068
- AlgebraicGeometry.PresheafedSpace.carrierproof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpaceproof · cited by 1,988
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.UniversallyInjective.iff_diagonalproof · cited by 1
- AlgebraicGeometry.UniversallyInjective.respectsIsoproof · cited by 0