Theorems · Theorem · commutative algebra
Ideal.jacobson_bot_polynomial_le_sInf_map_maximal
∀ {R : Type u_1} [inst : CommRing R], ⊥.jacobson ≤ sInf (Ideal.map Polynomial.C '' {J | J.IsMaximal})- Defined in
- Mathlib.RingTheory.Jacobson.Polynomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 109 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.
Cites38
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Set.ofPredstatement and proof · cited by 6,101
- Polynomialstatement and proof · cited by 5,681
- Set.imagestatement · cited by 5,609
- Idealstatement and proof · cited by 4,748
- Bot.botstatement and proof · cited by 4,720
- zero_addproof · cited by 2,366
- HasQuotient.Quotientproof · cited by 2,301
- MulZeroClass.mul_zeroproof · cited by 2,091
- Polynomial.Xproof · cited by 1,639
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.jacobson_bot_polynomial_of_jacobson_botproof · cited by 0