Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.PartialIso.IsOver.trans
∀ {X Y Z S : AlgebraicGeometry.Scheme} {sX : X ⟶ S} {sY : Y ⟶ S} {sZ : Z ⟶ S} {f : X.PartialIso Y} {g : Y.PartialIso Z},
AlgebraicGeometry.Scheme.PartialIso.IsOver sX sY f →
AlgebraicGeometry.Scheme.PartialIso.IsOver sY sZ g → AlgebraicGeometry.Scheme.PartialIso.IsOver sX sZ (f.trans g)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 228 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- AlgebraicGeometry.Scheme.PartialIsostatement and proof · cited by 32
- AlgebraicGeometry.Scheme.PartialIso.sourceproof · cited by 30
- AlgebraicGeometry.Scheme.PartialIso.targetproof · cited by 28
- AlgebraicGeometry.Scheme.PartialIso.transstatement · cited by 6
- AlgebraicGeometry.Scheme.PartialIso.IsOverstatement and proof · cited by 6
- AlgebraicGeometry.Scheme.PartialIso.IsOver.restrictSourceproof · cited by 2
- AlgebraicGeometry.Scheme.PartialIso.IsOver.restrictTargetproof · cited by 1
- AlgebraicGeometry.Scheme.PartialIso.IsOver.trans'proof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.BirationalOver.transproof · cited by 2