Theorems · Definition · ring theory
QuaternionAlgebra.addEquivProd
{R : Type u_3} → [inst : Add R] → (c₁ c₂ c₃ : R) → QuaternionAlgebra R c₁ c₂ c₃ ≃+ R × R × R × RThe additive equivalence between a quaternion algebra over R and R × R × R × R.
- Defined in
- Mathlib.Algebra.Quaternion
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- Add
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddEquivstatement · cited by 1,087
- QuaternionAlgebrastatement · cited by 174
- QuaternionAlgebra.equivProdproof · cited by 8
- Equiv.addEquivproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- QuaternionAlgebra.coe_symm_addEquivProdstatement · cited by 0
- QuaternionAlgebra.coe_addEquivProdstatement · cited by 0