Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.PartialMap.id_comp
∀ {X Y : AlgebraicGeometry.Scheme} [inst : IrreducibleSpace ↥X] (f : X.PartialMap Y),
(AlgebraicGeometry.Scheme.PartialMap.id X).comp f = f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- IrreducibleSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites42
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- Top.topproof · cited by 9,680
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- CategoryTheory.Category.comp_idproof · cited by 2,119
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.RationalMap.id_compproof · cited by 0