Theorems · Definition · ring theory
Quaternion.im
{R : Type u_3} → [inst : CommRing R] → Quaternion R → Quaternion RThe imaginary part of a quaternion.
- Defined in
- Mathlib.Algebra.Quaternion
- Cited by
- 27 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Quaternionstatement and proof · cited by 206
- QuaternionAlgebra.improof · cited by 20
Cited by27
Results whose statement or proof uses this declaration.
- Quaternion.exp_eqstatement and proof · cited by 3
- Quaternion.re_imstatement · cited by 2
- Quaternion.star_imstatement and proof · cited by 1
- Quaternion.normSq_expproof · cited by 1
- Quaternion.sub_re_selfstatement · cited by 1
- Quaternion.im_addstatement · cited by 1
- Quaternion.im_smulstatement · cited by 1
- Quaternion.re_add_imstatement · cited by 1
- Quaternion.imJ_imstatement · cited by 0
- Quaternion.continuous_imstatement · cited by 0
- Quaternion.imK_imstatement · cited by 0
- Quaternion.sub_im_selfstatement · cited by 0