Theorems · Theorem · nonassociative algebras

RootPairing.InvariantForm.ne_zero

∀ {ι : Type u_1} {R : Type u_2} {M : Type u_4} {N : Type u_5} [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}
  (self : P.InvariantForm) (i : ι), (self.form (P.root i)) (P.root i) ≠ 0

Defined in

Mathlib.LinearAlgebra.RootSystem.RootPositive

Cited by

8 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommGroupModule