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Theorems · Theorem · nonassociative algebras

IsLieTower.leibniz_lie

∀ {L₁ : Type u_1} {L₂ : Type u_2} {M : Type u_3} {inst : Bracket L₁ L₂} {inst_1 : Bracket L₁ M} {inst_2 : Bracket L₂ M}
  {inst_3 : Add M} [self : IsLieTower L₁ L₂ M] (x : L₁) (y : L₂) (m : M), ⁅x, ⁅y, m⁆⁆ = ⁅⁅x, y⁆, m⁆ + ⁅y, ⁅x, m⁆⁆
Defined in
Mathlib.Algebra.Lie.Basic
Cited by
1 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
IsLieTower
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Around this declaration

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leibniz_lie · cited by 8leibniz_lieBracket.bracket · cited by 642Bracket.bracketBracket · cited by 8BracketIsLieTower · cited by 4IsLieTowerIsLieTower.leibniz_lieCITED BYCITES

Cites3

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Cited by1

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