Theorems · Theorem · commutative algebra
RingHom.Flat.propertyIsLocal
RingHom.PropertyIsLocal fun {R S} [CommRing R] [CommRing S] => RingHom.FlatFlat is a local property of ring homomorphisms.
- Defined in
- Mathlib.RingTheory.RingHom.Flat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement · cited by 17,173
- RingHom.Flatstatement · cited by 60
- RingHom.PropertyIsLocalstatement · cited by 20
- RingHom.IsStableUnderBaseChange.localizationPreservesproof · cited by 11
- RingHom.LocalizationPreserves.awayproof · cited by 9
- RingHom.OfLocalizationSpanTarget.ofLocalizationSpanproof · cited by 7
- RingHom.Flat.stableUnderCompositionproof · cited by 2
- RingHom.Flat.holdsForLocalizationAwayproof · cited by 1
- RingHom.Flat.isStableUnderBaseChangeproof · cited by 1
- RingHom.Flat.ofLocalizationSpanTargetproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
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