Theorems · Definition · ring theory

QuaternionAlgebra.lift

{R : Type u_1} →
  {A : Type u_2} →
    [inst : CommRing R] →
      [inst_1 : Ring A] →
        [inst_2 : Algebra R A] →
          {c₁ c₂ c₃ : R} → QuaternionAlgebra.Basis A c₁ c₂ c₃ ≃ (QuaternionAlgebra R c₁ c₂ c₃ →ₐ[R] A)

A quaternionic basis on A is equivalent to a map from the quaternion algebra to A.

Defined in

Mathlib.Algebra.QuaternionBasis

Cited by

3 results in Mathlib

Foundations

Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingRingAlgebra