Theorems · Theorem · ring theory

CliffordAlgebra.contractLeftAux_contractLeftAux

∀ {R : Type u1} [inst : CommRing R] {M : Type u2} [inst_1 : AddCommGroup M] [inst_2 : Module R M]
  (Q : QuadraticForm R M) (d : Module.Dual R M) (v : M) (x fx : CliffordAlgebra Q),
  ((CliffordAlgebra.contractLeftAux Q d) v)
      ((CliffordAlgebra.ι Q) v * x, ((CliffordAlgebra.contractLeftAux Q d) v) (x, fx)) =
    Q v • fx

Defined in

Mathlib.LinearAlgebra.CliffordAlgebra.Contraction

Cited by

3 results in Mathlib

Foundations

Depth 60 from the axioms · uses propext, Quot.sound

Assumes

CommRingAddCommGroupModule