Theorems · Definition · commutative algebra
RingHom.RespectsIso
({R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop) → PropA property RespectsIso if it still holds when composed with an isomorphism
- Defined in
- Mathlib.RingTheory.RingHomProperties
- Cited by
- 78 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- RingEquivproof · cited by 1,147
- RingHom.compproof · cited by 899
- RingEquiv.toRingHomproof · cited by 150
Cited by81
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.HasRingHomProperty.Spec_iffproof · cited by 19
- RingHom.RespectsIso.cancel_right_isIsostatement and proof · cited by 18
- RingHom.PropertyIsLocal.respectsIsostatement · cited by 16
- RingHom.IsStableUnderBaseChange.mkstatement and proof · cited by 16
- RingHom.StableUnderComposition.respectsIsostatement · cited by 15
- RingHom.toMorphismProperty_respectsIso_iffstatement and proof · cited by 11
- RingHom.CodescendsAlong.mkstatement and proof · cited by 8
- RingHom.RespectsIso.arrow_mk_iso_iffstatement and proof · cited by 6
- RingHom.RespectsIso.cancel_left_isIsostatement and proof · cited by 6
- RingHom.LocalizationAwayPreserves.respectsIsostatement · cited by 4
- RingHom.isIntegral_respectsIsostatement · cited by 4
- RingHom.QuasiFinite.respectsIsostatement · cited by 4