Theorems · Definition · ring theory
Quaternion.linearIsometryEquivTuple
Quaternion ℝ ≃ₗᵢ[ℝ] EuclideanSpace ℝ (Fin 4)
QuaternionAlgebra.linearEquivTuple as a LinearIsometryEquiv.
- Defined in
- Mathlib.Analysis.Quaternion
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 229 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- RingHom.idstatement and proof · cited by 18,349
- ENNRealstatement · cited by 9,879
- LinearEquivproof · cited by 3,317
- LinearEquiv.symmproof · cited by 1,461
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- LinearIsometryEquivstatement · cited by 748
- WithLpproof · cited by 345
- WithLp.ofLpproof · cited by 323
- EuclideanSpacestatement and proof · cited by 307
- LinearEquiv.transproof · cited by 298
Cited by6
Results whose statement or proof uses this declaration.
- Quaternion.continuous_reproof · cited by 4
- Quaternion.continuous_imIproof · cited by 0
- Quaternion.continuous_imJproof · cited by 0
- Quaternion.continuous_imKproof · cited by 0
- Quaternion.linearIsometryEquivTuple_applystatement and proof · cited by 0
- Quaternion.linearIsometryEquivTuple_symm_applystatement and proof · cited by 0