Theorems · Theorem · commutative algebra
IsLocalRing.ResidueField.mapEquiv.symm
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : IsLocalRing R] [inst_2 : CommRing S]
[inst_3 : IsLocalRing S] (f : R ≃+* S),
(IsLocalRing.ResidueField.mapEquiv f).symm = IsLocalRing.ResidueField.mapEquiv f.symm- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- RingEquivstatement and proof · cited by 1,147
- RingEquiv.symmstatement · cited by 567
- IsLocalRingstatement and proof · cited by 339
- IsLocalRing.ResidueFieldstatement · cited by 156
- IsLocalRing.ResidueField.mapEquivstatement · cited by 5
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