Theorems · Theorem · commutative algebra
Polynomial.isJacobsonRing_polynomial_of_isJacobsonRing
∀ {R : Type u_1} [inst : CommRing R], IsJacobsonRing R → IsJacobsonRing (Polynomial R)- Defined in
- Mathlib.RingTheory.Jacobson.Ring
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 139 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.
Cites42
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
- RingHomproof · cited by 10,189
- Polynomialstatement and proof · cited by 5,681
- Idealproof · cited by 4,748
- Bot.botproof · cited by 4,720
- HasQuotient.Quotientproof · cited by 2,301
- le_antisymmproof · cited by 2,068
- Polynomial.Cproof · cited by 1,598
- le_rflproof · cited by 1,558
- Polynomial.coeffproof · cited by 1,045
- le_transproof · cited by 985
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.isJacobsonRing_polynomial_iff_isJacobsonRingproof · cited by 0