Theorems · Theorem · ring theory
Quaternion.linearIsometryEquivTuple_apply
∀ (a : Quaternion ℝ), Quaternion.linearIsometryEquivTuple a = !₂[a.re, a.imI, a.imJ, a.imK]
- Defined in
- Mathlib.Analysis.Quaternion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 230 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- ENNRealstatement · cited by 9,879
- Matrix.vecConsstatement · cited by 852
- Matrix.vecEmptystatement · cited by 832
- LinearIsometryEquivstatement · cited by 748
- WithLpstatement · cited by 345
- EuclideanSpacestatement · cited by 307
- Quaternionstatement and proof · cited by 206
- QuaternionAlgebra.restatement · cited by 117
- QuaternionAlgebra.imIstatement · cited by 91
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