Theorems · Inductive type · group theory

IsReduced

(R : Type u_5) → [Zero R] → [Pow R ℕ] → Prop

A structure that has zero and pow is reduced if it has no nonzero nilpotent elements.

Defined in: Mathlib.Algebra.GroupWithZero.Basic
Cited by: 98 results in Mathlib
Foundations: Depth 1 from the axioms, rests on 4 definitions · uses no axioms
Assumes: Zero Pow

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Nothing in Mathlib beyond the foundations.

Results whose statement or proof uses this declaration.