Theorems · Theorem · algebraic geometry
RingHom.Etale.propertyIsLocal
RingHom.PropertyIsLocal fun {R S} [CommRing R] [CommRing S] => RingHom.Etale- Defined in
- Mathlib.RingTheory.RingHom.Etale
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- RingHomproof · cited by 10,189
- RingHom.Etalestatement · cited by 26
- RingHom.PropertyIsLocalstatement and proof · cited by 20
- RingHom.Smooth.propertyIsLocalproof · cited by 5
- RingHom.Etale.eq_formallyUnramified_and_smoothproof · cited by 3
- RingHom.PropertyIsLocal.andproof · cited by 2
- RingHom.FormallyUnramified.propertyIsLocalproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- RingHom.Etale.respectsIsoproof · cited by 2
- RingHom.Etale.ofLocalizationSpanTargetproof · cited by 1
- RingHom.Etale.ofLocalizationSpanproof · cited by 0