Theorems · Theorem · commutative algebra
RingHom.LocalizationAwayPreserves.respectsIso
∀ {P : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop},
(RingHom.LocalizationAwayPreserves fun {R S} [CommRing R] [CommRing S] => P) →
RingHom.RespectsIso fun {R S} [CommRing R] [CommRing S] => P- Defined in
- Mathlib.RingTheory.LocalProperties.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebraproof · cited by 11,388
- RingHomstatement and proof · cited by 10,189
- Algebra.algebraMapproof · cited by 4,706
- IsUnitproof · cited by 1,602
- RingEquivproof · cited by 1,147
- RingHom.compproof · cited by 899
- map_oneproof · cited by 861
- RingHomClass.toRingHomproof · cited by 746
- RingEquiv.symmproof · cited by 567
- RingHomInvPairproof · cited by 523
Cited by4
Results whose statement or proof uses this declaration.
- RingHom.PropertyIsLocal.respectsIsoproof · cited by 16
- RingHom.locally_propertyIsLocalproof · cited by 1
- RingHom.locally_localizationAwayPreservesproof · cited by 1
- RingHom.locally_localizationPreservesproof · cited by 0