Theorems · Definition · linear algebra

CliffordAlgebra.even.lift.aux

{R : Type u_1} →
  {M : Type u_2} →
    [inst : CommRing R] →
      [inst_1 : AddCommGroup M] →
        [inst_2 : Module R M] →
          {Q : QuadraticForm R M} →
            {A : Type u_3} →
              [inst_3 : Ring A] →
                [inst_4 : Algebra R A] → CliffordAlgebra.EvenHom Q A → ↥(CliffordAlgebra.even Q) →ₗ[R] A

The final auxiliary construction for CliffordAlgebra.even.lift. This map is the forwards direction of that equivalence, but not in the fully-bundled form.

Defined in

Mathlib.LinearAlgebra.CliffordAlgebra.Even

Cited by

5 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleRingAlgebra