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Theorems · Theorem · commutative algebra

IsLocalRing.ResidueField.algebraMap_eq

∀ (R : Type u_1) [inst : CommRing R] [inst_1 : IsLocalRing R],
  algebraMap R (IsLocalRing.ResidueField R) = IsLocalRing.residue R
Defined in
Mathlib.RingTheory.LocalRing.ResidueField.Basic
Cited by
2 results in Mathlib
Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingIsLocalRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Ideal.algebraMap_residueField_eq_zero · cited by 5Ideal.algebraMap_residueF…Localization.localRingHom_surjective_of_primesOver_eq_singleton · cited by 1Localization.localRingHom…CommRing · cited by 17173CommRingRingHom · cited by 10189RingHomAlgebra.algebraMap · cited by 4706Algebra.algebraMapIsLocalRing · cited by 339IsLocalRingIsLocalRing.ResidueField · cited by 156IsLocalRing.ResidueFieldIsLocalRing.residue · cited by 71IsLocalRing.residueResidueField.algebraMap_eqCITED BYCITES

Cites6

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Cited by2

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