Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.coprodPresheafObjIso_hom_snd
∀ {X Y : AlgebraicGeometry.Scheme} (U : (X ⨿ Y).Opens),
CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.Scheme.coprodPresheafObjIso U).hom
CategoryTheory.Limits.prod.snd =
AlgebraicGeometry.Scheme.Hom.app CategoryTheory.Limits.coprod.inr U- Defined in
- Mathlib.AlgebraicGeometry.Limits
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites67
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement · cited by 53,352
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- RingHomstatement · cited by 10,189
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Category.assocproof · cited by 6,433
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.coprodPresheafObjIso_hom_snd_assocproof · cited by 1