Theorems · Theorem · nonassociative algebras
LieRinehartRing.lie_smul_eq_mul
∀ {A₁ : Type u_2} {L₁ : Type u_3} [inst : CommRing A₁] [inst_1 : LieRing L₁] [inst_2 : Module A₁ L₁]
[inst_3 : LieRingModule L₁ A₁] [LieRinehartRing A₁ L₁] (a b : A₁) (x : L₁), ⁅a • x, b⁆ = a * ⁅x, b⁆- Defined in
- Mathlib.Algebra.LieRinehartAlgebra.Defs
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- Foundations
- Depth 13 from the axioms · uses no axioms
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- Modulestatement and proof · cited by 20,661
- CommRingstatement and proof · cited by 17,173
- LieRingstatement and proof · cited by 1,548
- LieRingModulestatement and proof · cited by 727
- Bracket.bracketstatement · cited by 642
- LieRinehartRingstatement and proof · cited by 12
- LieRinehartRing.lie_smul_eq_mul'proof · cited by 1
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