Theorems · Theorem · algebraic geometry
RingHom.Etale.eq_formallyUnramified_and_smooth
@RingHom.Etale = fun R S x x_1 f => f.FormallyUnramified ∧ f.Smooth
- Defined in
- Mathlib.RingTheory.RingHom.Etale
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- RingHom.Smoothstatement and proof · cited by 30
- RingHom.Etalestatement · cited by 26
- RingHom.FormallyUnramifiedstatement and proof · cited by 26
- RingHom.etale_iff_formallyUnramified_and_smoothproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- RingHom.Etale.propertyIsLocalproof · cited by 3
- RingHom.Etale.stableUnderCompositionproof · cited by 0
- RingHom.Etale.isStableUnderBaseChangeproof · cited by 0