Theorems · Theorem · commutative algebra
Polynomial.isMaximal_comap_C_of_isJacobsonRing
∀ {R : Type u_1} [inst : CommRing R] (P : Ideal (Polynomial R)) [hP : P.IsMaximal] [IsJacobsonRing R],
(Ideal.comap Polynomial.C P).IsMaximal- Defined in
- Mathlib.RingTheory.Jacobson.Ring
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Idealstatement and proof · cited by 4,748
- Bot.botproof · cited by 4,720
- Polynomial.Cstatement and proof · cited by 1,598
- RingHom.compproof · cited by 899
- Ideal.Quotient.mkproof · cited by 610
- Ideal.IsMaximalstatement and proof · cited by 452
- Ideal.comapstatement and proof · cited by 443
- Ideal.mk_kerproof · cited by 59
- IsJacobsonRingstatement and proof · cited by 40
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