Theorems · Theorem · ring theory
Quaternion.imJ_snd_dualNumberEquiv
∀ {R : Type u_1} [inst : CommRing R] (q : Quaternion (DualNumber R)),
(TrivSqZeroExt.snd (Quaternion.dualNumberEquiv q)).imJ = TrivSqZeroExt.snd q.imJ- Defined in
- Mathlib.Algebra.DualQuaternion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- AlgEquivstatement · cited by 1,681
- Quaternionstatement and proof · cited by 206
- TrivSqZeroExt.sndstatement · cited by 83
- QuaternionAlgebra.imJstatement · cited by 80
- DualNumberstatement and proof · cited by 52
- Quaternion.dualNumberEquivstatement · cited by 16
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