Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.PartialMap.ext_iff
∀ {X Y : AlgebraicGeometry.Scheme} (f g : X.PartialMap Y),
f = g ↔ ∃ (e : f.domain = g.domain), f.hom = CategoryTheory.CategoryStruct.comp (X.isoOfEq e).hom g.hom- Cited by
- 2 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- SetLike.coeproof · cited by 8,199
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.Category.id_compproof · cited by 1,998
- AlgebraicGeometry.Scheme.Opensstatement and proof · cited by 1,149
- AlgebraicGeometry.Scheme.Opens.toSchemestatement and proof · cited by 433
- Denseproof · cited by 359
- AlgebraicGeometry.Scheme.PartialMapstatement and proof · cited by 76
- AlgebraicGeometry.Scheme.PartialMap.domainstatement and proof · cited by 60
- AlgebraicGeometry.Scheme.PartialMap.homstatement and proof · cited by 49
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.PartialMap.extproof · cited by 12
- AlgebraicGeometry.Scheme.PartialMap.toPartialMap_toRationalMap_restrictproof · cited by 1