Theorems · Definition · ring theory
QuaternionAlgebra.linearEquivTuple
{R : Type u_3} → (c₁ c₂ c₃ : R) → [inst : CommRing R] → QuaternionAlgebra R c₁ c₂ c₃ ≃ₗ[R] Fin 4 → RQuaternionAlgebra.equivTuple as a linear equivalence.
- Defined in
- Mathlib.Algebra.Quaternion
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearEquivstatement · cited by 3,317
- QuaternionAlgebrastatement · cited by 174
- Equiv.linearEquivproof · cited by 9
- QuaternionAlgebra.equivTupleproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- Quaternion.linearIsometryEquivTupleproof · cited by 6
- QuaternionAlgebra.basisOneIJKproof · cited by 2
- QuaternionAlgebra.coe_linearEquivTuplestatement · cited by 0
- QuaternionAlgebra.coe_linearEquivTuple_symmstatement · cited by 0