Theorems · Theorem · commutative algebra

det_traceForm_ne_zero

∀ {K : Type u_4} {L : Type u_5} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] {ι : Type w}
  [Algebra.IsSeparable K L] [inst_4 : Fintype ι] [inst_5 : DecidableEq ι] (b : Module.Basis ι K L),
  ((LinearMap.BilinForm.toMatrix b) (Algebra.traceForm K L)).det ≠ 0

Defined in

Mathlib.RingTheory.Trace.Basic

Cited by

1 results in Mathlib

Foundations

Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraAlgebra.IsSeparableFintypeDecidableEq