Theorems · Theorem · field theory
pNilradical_le_nilradical
∀ {R : Type u_1} [inst : CommSemiring R] {p : ℕ}, pNilradical R p ≤ nilradical R- Defined in
- Mathlib.FieldTheory.IsPerfectClosure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Idealstatement and proof · cited by 4,748
- Bot.botproof · cited by 4,720
- le_reflproof · cited by 2,061
- nilradicalstatement and proof · cited by 41
- pNilradicalstatement · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- IsPRadical.injective_compproof · cited by 0