Theorems · Theorem · commutative algebra
IsLocalization.height_comap
Deprecated since 2026-04-09Use IsLocalization.height_under instead.
∀ {R : Type u_1} [inst : CommRing R] (S : Submonoid R) {A : Type u_2} [inst_1 : CommRing A] [inst_2 : Algebra R A]
[IsLocalization S A] (J : Ideal A), (Ideal.under R J).height = J.heightAlias of IsLocalization.height_under.
- Defined in
- Mathlib.RingTheory.Ideal.Height
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement · cited by 17,173
- Algebrastatement · cited by 11,388
- ENatstatement · cited by 4,985
- Idealstatement · cited by 4,748
- Submonoidstatement · cited by 3,086
- IsLocalizationstatement · cited by 636
- Ideal.understatement · cited by 170
- Ideal.heightstatement · cited by 83
- IsLocalization.height_underproof · cited by 6
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