Theorems · Inductive type · commutative algebra
StandardEtalePair
(R : Type u_1) → [CommRing R] → Type u_1
A StandardEtalePair R is a pair f g : R[X] such that f is monic,
and f' is invertible in R[X][1/g]/f.
- Defined in
- Mathlib.RingTheory.Etale.StandardEtale
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement · cited by 17,173
Cited by56
Results whose statement or proof uses this declaration.
- StandardEtalePair.Ringstatement and proof · cited by 26
- StandardEtalePair.fstatement and proof · cited by 18
- StandardEtalePair.gstatement and proof · cited by 17
- StandardEtalePair.liftstatement and proof · cited by 15
- StandardEtalePair.HasMapstatement and proof · cited by 14
- StandardEtalePair.Xstatement and proof · cited by 14
- StandardEtalePresentation.Pstatement · cited by 13
- HasStandardEtaleSurjectionOnproof · cited by 5
- StandardEtalePair.mapstatement and proof · cited by 4
- StandardEtalePair.aeval_X_g_mul_mk_Xstatement and proof · cited by 3
- StandardEtalePair.condstatement and proof · cited by 3
- StandardEtalePair.equivAwayAdjoinRootstatement and proof · cited by 3