Documentation

Ado.ForMathlib.BilinFormDualBasis

@[simp]
theorem LinearMap.BilinForm.dualBasis_reindex {K : Type u_1} {V : Type u_2} [Field K] [AddCommGroup V] [Module K V] {ι : Type u_3} {ι' : Type u_4} [DecidableEq ι] [DecidableEq ι'] [Finite ι] [Finite ι'] (B : LinearMap.BilinForm K V) (hB : B.Nondegenerate) (b : Module.Basis ι K V) (e : ι ≃ ι') :
B.dualBasis hB (b.reindex e) = (B.dualBasis hB b).reindex e