Theorems · Theorem · commutative algebra
IsLocalRing.ResidueField.mapAut_apply
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsLocalRing R] (f : R ≃+* R),
IsLocalRing.ResidueField.mapAut f = IsLocalRing.ResidueField.mapEquiv f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingIsLocalRing
Around this declaration
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- MonoidHomstatement · cited by 3,629
- RingEquivstatement and proof · cited by 1,147
- IsLocalRingstatement and proof · cited by 339
- IsLocalRing.ResidueFieldstatement · cited by 156
- IsLocalRing.ResidueField.mapEquivstatement · cited by 5
- RingAutstatement · cited by 4
- IsLocalRing.ResidueField.mapAutstatement and proof · cited by 1
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