Theorems · Theorem · commutative algebra
IsLocalRing.ResidueField.mapEquiv_apply
∀ {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) (a : IsLocalRing.ResidueField R),
(IsLocalRing.ResidueField.mapEquiv f) a = (IsLocalRing.ResidueField.map ↑f) a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- RingHomstatement · cited by 10,189
- RingEquivstatement and proof · cited by 1,147
- RingHomClass.toRingHomstatement · cited by 746
- IsLocalRingstatement and proof · cited by 339
- IsLocalRing.ResidueFieldstatement and proof · cited by 156
- IsLocalRing.ResidueField.mapstatement · cited by 16
- IsLocalRing.ResidueField.mapEquivstatement and proof · cited by 5
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