Theorems · Theorem · nonassociative algebras
commute_lmul_rmul
∀ {A : Type u_1} [inst : NonUnitalNonAssocRing A] [IsJordan A] (a : A),
Commute (AddMonoid.End.mulLeft a) (AddMonoid.End.mulRight a)- Defined in
- Mathlib.Algebra.Jordan.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddMonoidHomstatement · cited by 3,230
- Commutestatement · cited by 639
- NonUnitalNonAssocRingstatement and proof · cited by 354
- AddMonoidHom.extproof · cited by 149
- AddMonoid.Endstatement · cited by 64
- AddMonoid.End.mulLeftstatement · cited by 11
- IsJordanstatement and proof · cited by 10
- AddMonoid.End.mulRightstatement · cited by 9
- IsJordan.lmul_comm_rmulproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.