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Theorems · Definition · ring theory

QuaternionAlgebra.basisOneIJK

{R : Type u_3} → (c₁ c₂ c₃ : R) → [inst : CommRing R] → Module.Basis (Fin 4) R (QuaternionAlgebra R c₁ c₂ c₃)

ℍ[R,c₁,c₂,c₃] has a basis over R given by 1, i, j, and k.

Defined in
Mathlib.Algebra.Quaternion
Cited by
2 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRing

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