Theorems · Theorem · commutative algebra

AdicCompletion.spanFinrank_maximalIdeal_eq

∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsNoetherianRing R] [inst_2 : IsLocalRing R],
  Submodule.spanFinrank (IsLocalRing.maximalIdeal (AdicCompletion (IsLocalRing.maximalIdeal R) R)) =
    Submodule.spanFinrank (IsLocalRing.maximalIdeal R)

Defined in: Mathlib.RingTheory.AdicCompletion.LocalRing
Cited by: 0 results in Mathlib
Foundations: Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing IsNoetherianRing IsLocalRing

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