Theorems · Theorem · commutative algebra
Ideal.height_top
∀ {R : Type u_1} [inst : CommRing R], ⊤.height = ⊤- Defined in
- Mathlib.RingTheory.Ideal.Height
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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 and proof · cited by 9,680
- ENatstatement · cited by 4,985
- Idealstatement and proof · cited by 4,748
- iInfproof · cited by 1,690
- iInf_congr_Propproof · cited by 218
- Ideal.heightstatement · cited by 83
- iInf_negproof · cited by 27
- iInf_topproof · cited by 21
- Ideal.minimalPrimes_topproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Ideal.height_strict_mono_of_isPrimeproof · cited by 4
- Ideal.sup_height_eq_ringKrullDimproof · cited by 2
- Ideal.sup_isPrime_height_eq_ringKrullDimproof · cited by 0
- Ideal.height_of_subsingletonproof · cited by 0