Theorems · Theorem · linear algebra

CliffordAlgebra.even.algHom_ext

∀ {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]
  ⦃f g : ↥(CliffordAlgebra.even Q) →ₐ[R] A⦄,
  (CliffordAlgebra.even.ι Q).compr₂ f = (CliffordAlgebra.even.ι Q).compr₂ g → f = g

Two algebra morphisms from the even subalgebra are equal if they agree on pairs of generators. See note [partially-applied ext lemmas].

Defined in

Mathlib.LinearAlgebra.CliffordAlgebra.Even

Cited by

3 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupModuleRingAlgebra