Theorems · Theorem · commutative algebra
Ideal.ringJacobson_le_jacobson
∀ {R : Type u} [inst : Ring R] {I : Ideal R}, Ring.jacobson R ≤ I.jacobson- Defined in
- Mathlib.RingTheory.Jacobson.Ideal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Idealstatement and proof · cited by 4,748
- bot_leproof · cited by 306
- Eq.trans_leproof · cited by 155
- Ideal.jacobsonstatement · cited by 88
- Ring.jacobsonstatement · cited by 37
- Ideal.jacobson_monoproof · cited by 6
- Ideal.jacobson_botproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- ringKrullDim_quotSMulTop_succ_eq_ringKrullDim_of_mem_jacobsonproof · cited by 2