Theorems · Theorem · nonassociative algebras

RootPairing.EmbeddedG2.pairingIn_long_short

∀ {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} [self : P.EmbeddedG2],
  P.pairingIn ℤ (RootPairing.EmbeddedG2.long P) (RootPairing.EmbeddedG2.short P) = -3

Defined in

Mathlib.LinearAlgebra.RootSystem.Finite.G2

Cited by

3 results in Mathlib

Foundations

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

Assumes

RootPairing.EmbeddedG2