Mathlib Map

Theorems · Definition · nonassociative algebras

Bracket.bracket

{L : Type u_1} → {M : Type u_2} → [self : Bracket L M] → L → M → M

⁅x, y⁆ is the result of a bracket operation on elements x and y. It is supported by the Bracket typeclass.

Defined in
Mathlib.Data.Bracket
Cited by
642 results in Mathlib
Foundations
Depth 1 from the axioms, rests on 2 definitions · uses no axioms
Assumes
Bracket

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Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Bracketstatement and proof · cited by 8

Cited by748

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 748.