Theorems · Theorem · ring theory

CliffordAlgebra.changeForm_algebraMap

∀ {R : Type u1} [inst : CommRing R] {M : Type u2} [inst_1 : AddCommGroup M] [inst_2 : Module R M]
  {Q Q' : QuadraticForm R M} {B : LinearMap.BilinForm R M} (h : LinearMap.BilinMap.toQuadraticMap B = Q' - Q) (r : R),
  (CliffordAlgebra.changeForm h) ((algebraMap R (CliffordAlgebra Q)) r) = (algebraMap R (CliffordAlgebra Q')) r

Defined in

Mathlib.LinearAlgebra.CliffordAlgebra.Contraction

Cited by

4 results in Mathlib

Foundations

Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModule