Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.RationalMap.id_comp
∀ {X Y : AlgebraicGeometry.Scheme} [inst : IrreducibleSpace ↥X] (f : X.RationalMap Y),
(AlgebraicGeometry.Scheme.RationalMap.id X).comp f = f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- IrreducibleSpace
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.CategoryStruct.idstatement · 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
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement and proof · cited by 1,734
- AlgebraicGeometry.Scheme.PartialMapproof · cited by 76
- IrreducibleSpacestatement and proof · cited by 40
- AlgebraicGeometry.Scheme.PartialMap.toRationalMapproof · cited by 26
- AlgebraicGeometry.Scheme.RationalMapstatement and proof · cited by 25
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