Theorems · Definition · nonassociative algebras

SetLike.GradedBracket.recOn

{ι : Type u_1} →
  {σ : Type u_2} →
    {L : Type u_4} →
      [inst : SetLike σ L] →
        [inst_1 : Bracket L L] →
          [inst_2 : Add ι] →
            {ℒ : ι → σ} →
              {motive : SetLike.GradedBracket ℒ → Sort u} →
                (t : SetLike.GradedBracket ℒ) →
                  ((bracket_mem : ∀ ⦃i j : ι⦄ {gi gj : L}, gi ∈ ℒ i → gj ∈ ℒ j → ⁅gi, gj⁆ ∈ ℒ (i + j)) → motive ⋯) →
                    motive t

Defined in: Mathlib.Algebra.Lie.Graded
Cited by: 0 results in Mathlib
Foundations: Depth 7 from the axioms · uses no axioms
Assumes: SetLike Bracket Add

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SetLikestatement and proof · cited by 1,084
Bracket.bracketstatement and proof · cited by 642
Bracketstatement and proof · cited by 8
SetLike.GradedBracketstatement and proof · cited by 1

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