Theorems · Theorem · linear algebra

CliffordAlgebraQuaternion.ofQuaternion_comp_toQuaternion

∀ {R : Type u_1} [inst : CommRing R] {c₁ c₂ : R},
  CliffordAlgebraQuaternion.ofQuaternion.comp CliffordAlgebraQuaternion.toQuaternion =
    AlgHom.id R (CliffordAlgebra (CliffordAlgebraQuaternion.Q c₁ c₂))

Defined in: Mathlib.LinearAlgebra.CliffordAlgebra.Equivs
Cited by: 1 results in Mathlib
Foundations: Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing

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Cites21

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

DFunLike.coeproof · cited by 62,936
CommRingstatement and proof · cited by 17,173
Algebra.algebraMapproof · cited by 4,706
AlgHomstatement · cited by 3,236
add_zeroproof · cited by 2,707
zero_addproof · cited by 2,366
map_zeroproof · cited by 1,614
one_smulproof · cited by 1,374
zero_smulproof · cited by 716
AlgHom.compstatement · cited by 501
CliffordAlgebrastatement and proof · cited by 309
AlgHom.idstatement · cited by 196

Cited by2

Results whose statement or proof uses this declaration.

CliffordAlgebraQuaternion.equivproof · cited by 3
CliffordAlgebraQuaternion.ofQuaternion_toQuaternionproof · cited by 0