Theorems · Definition · commutative algebra
Ideal.radicalInfTopHom
{R : Type u} → [inst : CommSemiring R] → InfTopHom (Ideal R) (Ideal R)Ideal.radical as an InfTopHom, bundling in that it distributes over inf.
- Defined in
- Mathlib.RingTheory.Ideal.Operations
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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.
- CommSemiringstatement and proof · cited by 10,911
- Idealstatement · cited by 4,748
- Ideal.radicalproof · cited by 121
- InfTopHomstatement · cited by 60
- Ideal.radical_infproof · cited by 5
- Ideal.radical_topproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Ideal.radicalInfTopHom_applystatement · cited by 2
- Ideal.radical_finset_infproof · cited by 2
- Ideal.IsMinimalPrimaryDecomposition.minimalPrimes_subset_image_radicalproof · cited by 0