Theorems · Theorem · commutative algebra
Ideal.radicalInfTopHom_apply
∀ {R : Type u} [inst : CommSemiring R] (I : Ideal R), Ideal.radicalInfTopHom I = I.radical- Defined in
- Mathlib.RingTheory.Ideal.Operations
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 81 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.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Idealstatement and proof · cited by 4,748
- Ideal.radicalstatement · cited by 121
- InfTopHomstatement · cited by 60
- Ideal.radicalInfTopHomstatement · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Ideal.radical_finset_infproof · cited by 2
- Ideal.IsMinimalPrimaryDecomposition.minimalPrimes_subset_image_radicalproof · cited by 0