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Theorems · Theorem · commutative algebra

IsLocalization.comap_map_of_isPrimary_disjoint

Deprecated since 2026-04-09Use IsLocalization.under_map_of_isPrimary_disjoint instead.

∀ {R : Type u_1} [inst : CommSemiring R] (M : Submonoid R) (S : Type u_2) [inst_1 : CommSemiring S]
  [inst_2 : Algebra R S] [IsLocalization M S] {I : Ideal R},
  I.IsPrimary → Disjoint ↑M ↑I → Ideal.under R (Ideal.map (algebraMap R S) I) = I

Alias of IsLocalization.under_map_of_isPrimary_disjoint.

Defined in
Mathlib.RingTheory.Localization.Ideal
Cited by
0 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringCommSemiringAlgebraIsLocalization

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