Mathlib Map

Theorems · Theorem · ring theory

QuaternionAlgebra.im_star

∀ {R : Type u_3} {c₁ c₂ c₃ : R} (a : QuaternionAlgebra R c₁ c₂ c₃) [inst : CommRing R], (star a).im = -a.im
Defined in
Mathlib.Algebra.Quaternion
Cited by
1 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext
Assumes
CommRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Quaternion.im_star · cited by 0Quaternion.im_starCommRing · cited by 17173CommRingStar.star · cited by 1082Star.starneg_zero · cited by 542neg_zeroQuaternionAlgebra · cited by 174QuaternionAlgebraQuaternionAlgebra.ext · cited by 21QuaternionAlgebra.extQuaternionAlgebra.im · cited by 20QuaternionAlgebra.imQuaternionAlgebra.im_starCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.