Theorems · Theorem · commutative algebra
RingHom.PropertyIsLocal.ofLocalizationSpanTarget
∀ {P : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop},
RingHom.PropertyIsLocal P → RingHom.OfLocalizationSpanTarget P- Defined in
- Mathlib.RingTheory.LocalProperties.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- RingHom.PropertyIsLocalstatement and proof · cited by 20
- RingHom.OfLocalizationSpanTargetstatement · cited by 14
Cited by4
Results whose statement or proof uses this declaration.
- RingHom.PropertyIsLocal.andproof · cited by 2
- AlgebraicGeometry.HasRingHomProperty.of_source_openCoverproof · cited by 2
- RingHom.Etale.ofLocalizationSpanTargetproof · cited by 1
- AlgebraicGeometry.HasRingHomProperty.iff_exists_appLEproof · cited by 0