nilpotencyClass_eq_succ_iff

∀ {R : Type u_1} {x : R} [inst : MonoidWithZero R] {k : ℕ}, nilpotencyClass x = k + 1 ↔ x ^ (k + 1) = 0 ∧ x ^ k ≠ 0

Defined in: Mathlib.RingTheory.Nilpotent.Defs
Cited by: 2 results in Mathlib
Foundations: Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: MonoidWithZero

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