Theorems · Theorem · field theory
PerfectRing.pNilradical_eq_bot
∀ (R : Type u_1) [inst : CommSemiring R] (p : ℕ) [ExpChar R p] [PerfectRing R p], pNilradical R p = ⊥
- Defined in
- Mathlib.FieldTheory.IsPerfectClosure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 · cited by 4,748
- Bot.botstatement · cited by 4,720
- ExpCharstatement and proof · cited by 276
- PerfectRingstatement and proof · cited by 154
- pNilradicalstatement · cited by 18
- injective_frobeniusproof · cited by 1
- pNilradical_eq_bot_of_frobenius_injproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsPRadical.injective_comp_of_perfectproof · cited by 3