Theorems · Definition · commutative algebra

Ring.DimensionLEOne.recOn

{R : Type u_1} →
  [inst : CommRing R] →
    {motive : Ring.DimensionLEOne R → Sort u} →
      (t : Ring.DimensionLEOne R) →
        ((maximalOfPrime : ∀ {p : Ideal R}, p ≠ ⊥ → p.IsPrime → p.IsMaximal) → motive ⋯) → motive t

Defined in: Mathlib.RingTheory.DedekindDomain.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 18 from the axioms · uses propext, Quot.sound
Assumes: CommRing

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CommRingstatement and proof · cited by 17,173
Idealstatement and proof · cited by 4,748
Bot.botstatement and proof · cited by 4,720
Ideal.IsPrimestatement and proof · cited by 827
Ideal.IsMaximalstatement and proof · cited by 452
Ring.DimensionLEOnestatement and proof · cited by 12

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