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Theorems · Theorem · commutative algebra

RingHom.PropertyIsLocal.StableUnderCompositionWithLocalizationAwayTarget

∀ {P : {R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop},
  RingHom.PropertyIsLocal P → RingHom.StableUnderCompositionWithLocalizationAwayTarget P
Defined in
Mathlib.RingTheory.LocalProperties.Basic
Cited by
3 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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RingHom.PropertyIsLocal.and · cited by 2PropertyIsLocal.andAlgebraicGeometry.HasRingHomProperty.of_source_openCover · cited by 2HasRingHomProperty.of_sou…RingHom.PropertyIsLocal.HoldsForLocalizationAway · cited by 0PropertyIsLocal.HoldsForL…CommRing · cited by 17173CommRingRingHom · cited by 10189RingHomRingHom.PropertyIsLocal · cited by 20RingHom.PropertyIsLocalRingHom.StableUnderCompositionWithLocalizationAwayTarget · cited by 6RingHom.StableUnderCompos…PropertyIsLocal.StableUnderCo…CITED BYCITES

Cites4

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Cited by3

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