Theorems · Theorem · nonassociative algebras
commute_lmul_lmul_sq
∀ {A : Type u_1} [inst : NonUnitalNonAssocRing A] [IsJordan A] (a : A),
Commute (AddMonoid.End.mulLeft a) (AddMonoid.End.mulLeft (a * a))- Defined in
- Mathlib.Algebra.Jordan.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- IsJordan.lmul_lmul_comm_lmulproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- two_nsmul_lie_lmul_lmul_add_add_eq_zeroproof · cited by 0
- two_nsmul_lie_lmul_lmul_add_eq_lie_lmul_lmul_addproof · cited by 0