Theorems · Theorem · commutative algebra
Ideal.FiniteHeight.eq_top_or_height_ne_top
∀ {R : Type u_1} {inst : CommRing R} {I : Ideal R} [self : I.FiniteHeight], I = ⊤ ∨ I.height ≠ ⊤- Defined in
- Mathlib.RingTheory.Ideal.Height
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ideal.FiniteHeight
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Top.topstatement · cited by 9,680
- ENatstatement · cited by 4,985
- Idealstatement and proof · cited by 4,748
- Ideal.heightstatement · cited by 83
- Ideal.FiniteHeightstatement and proof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.height_ne_topproof · cited by 5