Theorems · Theorem · nonassociative algebras

RootPairing.GeckConstruction.isNilpotent_e

∀ {ι : Type u_1} {R : Type u_2} {M : Type u_3} {N : Type u_4} [inst : CommRing R] [inst_1 : IsDomain R]
  [inst_2 : CharZero R] [inst_3 : AddCommGroup M] [inst_4 : Module R M] [inst_5 : AddCommGroup N] [inst_6 : Module R N]
  {P : RootPairing ι R M N} [inst_7 : P.IsCrystallographic] [P.IsReduced] {b : P.Base} [inst_9 : Fintype ι]
  [inst_10 : DecidableEq ι] (i : ↥b.support), IsNilpotent (RootPairing.GeckConstruction.e i)

Defined in

Mathlib.LinearAlgebra.RootSystem.GeckConstruction.Semisimple

Cited by

2 results in Mathlib

Foundations

Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingIsDomainCharZeroAddCommGroupModuleAddCommGroupModuleRootPairing.IsCrystallographicRootPairing.IsReducedFintypeDecidableEq