Theorems · Theorem · nonassociative algebras

RootPairing.reflection_apply_self

∀ {ι : Type u_1} {R : Type u_2} {M : Type u_3} {N : Type u_4} [inst : CommRing R] [inst_1 : AddCommGroup M]
  [inst_2 : Module R M] [inst_3 : AddCommGroup N] [inst_4 : Module R N] (P : RootPairing ι R M N) (i : ι),
  (P.reflection i) (P.root i) = -P.root i

Defined in

Mathlib.LinearAlgebra.RootSystem.Defs

Cited by

34 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommGroupModule