Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.toImageAux_spec
∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y),
CategoryTheory.CategoryStruct.comp (AlgebraicGeometry.Scheme.Hom.toImageAux f)
(AlgebraicGeometry.Scheme.Hom.imageι f) =
f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites35
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
- Set.Elemproof · cited by 7,166
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Category.assocproof · cited by 6,433
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.PreZeroHypercover.I₀proof · cited by 763
- CategoryTheory.Limits.pullback.sndproof · cited by 637
- Ideal.Quotient.mkproof · cited by 610
- CategoryTheory.PreZeroHypercover.fproof · cited by 542
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverproof · cited by 469
- AlgebraicGeometry.Spec.mapproof · cited by 332
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.Hom.toImage_imageιproof · cited by 11