Theorems · Theorem · commutative algebra
Ideal.jacobson_bot_polynomial_of_jacobson_bot
∀ {R : Type u_1} [inst : CommRing R], ⊥.jacobson = ⊥ → ⊥.jacobson = ⊥- Defined in
- Mathlib.RingTheory.Jacobson.Polynomial
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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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
- Set.ofPredproof · cited by 6,101
- Polynomialstatement and proof · cited by 5,681
- Set.imageproof · cited by 5,609
- Idealstatement and proof · cited by 4,748
- Bot.botstatement and proof · cited by 4,720
- Polynomial.Cproof · cited by 1,598
- Polynomial.coeffproof · cited by 1,045
- le_transproof · cited by 985
- InfSet.sInfproof · cited by 935
- Ideal.mapproof · cited by 692
- Ideal.IsMaximalproof · cited by 452
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