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CliffordAlgebra.hom_ext

∀ {R : Type u_1} [inst : CommRing R] {M : Type u_2} [inst_1 : AddCommGroup M] [inst_2 : Module R M]
  {Q : QuadraticForm R M} {A : Type u_4} [inst_3 : Semiring A] [inst_4 : Algebra R A] {f g : CliffordAlgebra Q →ₐ[R] A},
  f.toLinearMap ∘ₗ CliffordAlgebra.ι Q = g.toLinearMap ∘ₗ CliffordAlgebra.ι Q → f = g

See note [partially-applied ext lemmas].

Defined in
Mathlib.LinearAlgebra.CliffordAlgebra.Basic
Cited by
17 results in Mathlib
Foundations
Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingAddCommGroupModuleSemiringAlgebra

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CliffordAlgebra.induction · cited by 8CliffordAlgebra.inductionCliffordAlgebra.map_comp_map · cited by 3CliffordAlgebra.map_comp_…CliffordAlgebra.map_id · cited by 3CliffordAlgebra.map_idExteriorAlgebra.hom_ext · cited by 2ExteriorAlgebra.hom_extCliffordAlgebraComplex.ofComplex_comp_toComplex · cited by 1CliffordAlgebraComplex.of…CliffordAlgebra.involute_comp_involute · cited by 1CliffordAlgebra.involute_…CliffordAlgebraComplex.toComplex_involute · cited by 1CliffordAlgebraComplex.to…CliffordAlgebraQuaternion.ofQuaternion_comp_toQuaternion · cited by 1CliffordAlgebraQuaternion…CliffordAlgebra.toBaseChange_comp_ofBaseChange · cited by 1CliffordAlgebra.toBaseCha…CliffordAlgebra.toBaseChange_comp_involute · cited by 1CliffordAlgebra.toBaseCha…CliffordAlgebra.toBaseChange_comp_reverseOp · cited by 1CliffordAlgebra.toBaseCha…CliffordAlgebra.ofBaseChange_comp_toBaseChange · cited by 1CliffordAlgebra.ofBaseCha…CliffordAlgebra.toProd_comp_ofProd · cited by 0CliffordAlgebra.toProd_co…CliffordAlgebraRing.involute_eq_id · cited by 0CliffordAlgebraRing.invol…CliffordAlgebra.ofEven_comp_toEven · cited by 0CliffordAlgebra.ofEven_co…DFunLike.coe · cited by 62936DFunLike.coeModule · cited by 20661ModuleRingHom.id · cited by 18349RingHom.idCommRing · cited by 17173CommRingSemiring · cited by 13802SemiringAddCommGroup · cited by 12871AddCommGroupAlgebra · cited by 11388AlgebraLinearMap · cited by 10215LinearMapAlgebra.algebraMap · cited by 4706Algebra.algebraMapEquiv.symm · cited by 3681Equiv.symmAlgHom · cited by 3236AlgHomLinearMap.comp · cited by 1642LinearMap.compQuadraticForm · cited by 507QuadraticFormEquiv.injective · cited by 464Equiv.injectiveCliffordAlgebra · cited by 309CliffordAlgebraCliffordAlgebra.hom_extCITED BYCITES

Cites19

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Cited by17

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