Theorems · Definition · commutative algebra
IsLocalRing.ResidueField.mapAut
{R : Type u_1} → [inst : CommRing R] → [inst_1 : IsLocalRing R] → RingAut R →* RingAut (IsLocalRing.ResidueField R)The group homomorphism from RingAut R to RingAut k where k
is the residue field of R.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingIsLocalRing
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
- MonoidHomstatement · cited by 3,629
- IsLocalRingstatement and proof · cited by 339
- IsLocalRing.ResidueFieldstatement · cited by 156
- IsLocalRing.ResidueField.mapEquivproof · cited by 5
- RingAutstatement and proof · cited by 4
- IsLocalRing.ResidueField.mapEquiv_transproof · cited by 0
- IsLocalRing.ResidueField.mapEquiv_reflproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- IsLocalRing.ResidueField.mapAut_applystatement and proof · cited by 0