Theorems · Theorem · algebraic geometry
AlgebraicGeometry.affineAnd_respectsIso
∀ {Q : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop},
(RingHom.RespectsIso fun {R S} [CommRing R] [CommRing S] => Q) →
(AlgebraicGeometry.affineAnd fun {R S} [CommRing R] [CommRing S] => Q).toProperty.RespectsIsoIf P respects isos, also affineAnd P respects isomorphisms.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- Top.topproof · cited by 9,680
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Isoproof · cited by 3,963
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatproof · cited by 2,333
- AlgebraicGeometry.SheafedSpace.toPresheafedSpaceproof · cited by 1,988
Cited by2
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.affineAnd_isLocalproof · cited by 2
- AlgebraicGeometry.affineAnd_isStableUnderBaseChangeproof · cited by 1