Theorems · Theorem · nonassociative algebras
LieRing.of_associative_ring_bracket
∀ {A : Type v} [inst : Ring A] (x y : A), ⁅x, y⁆ = x * y - y * x- Defined in
- Mathlib.Algebra.Lie.OfAssociative
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Bracket.bracketstatement · cited by 642
Cited by4
Results whose statement or proof uses this declaration.
- LieAlgebra.lieCharacter_apply_lieproof · cited by 1
- LieAlgebra.lieCharacter_apply_lie'proof · cited by 0
- Matrix.isSkewAdjoint_bracketproof · cited by 0
- LieModule.trace_toEnd_mul_eq_zero_of_traceForm_eq_zeroproof · cited by 0