Theorems · Theorem · algebraic geometry
AlgebraicGeometry.HasRingHomProperty.containsIdentities
∀ {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme}
{Q : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop}
[AlgebraicGeometry.HasRingHomProperty P Q],
(RingHom.ContainsIdentities fun {R S} [CommRing R] [CommRing S] => Q) → P.ContainsIdentities- Cited by
- 0 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites30
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- AlgebraicGeometry.SheafedSpace.toPresheafedSpaceproof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpaceproof · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpaceproof · cited by 1,734
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