Theorems · Theorem · commutative algebra
Ideal.IsRadical.comap
∀ {R : Type u} {S : Type v} {F : Type u_1} [inst : CommSemiring R] [inst_1 : CommSemiring S] [inst_2 : FunLike F R S]
[rc : RingHomClass F R S] (f : F) {K : Ideal S}, K.IsRadical → (Ideal.comap f K).IsRadical- Defined in
- Mathlib.RingTheory.Ideal.Maps
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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 and proof · cited by 4,748
- FunLikestatement and proof · cited by 2,560
- Ideal.comapstatement and proof · cited by 443
- RingHomClassstatement and proof · cited by 193
- Ideal.IsRadicalstatement and proof · cited by 30
- Ideal.IsRadical.radicalproof · cited by 8
- Ideal.radical_isRadicalproof · cited by 7
- Ideal.comap_radicalproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- isJacobsonRing_of_surjectiveproof · cited by 4