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Theorems · Theorem · nonassociative algebras

LieSubalgebra.coe_bracket

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (L' : LieSubalgebra R L)
  (x y : ↥L'), ↑⁅x, y⁆ = ⁅↑x, ↑y⁆
Defined in
Mathlib.Algebra.Lie.Subalgebra
Cited by
1 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext
Assumes
CommRingLieRingLieAlgebra
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LieSubmodule.lie_abelian_iff_lie_self_eq_bot · cited by 3LieSubmodule.lie_abelian_…CommRing · cited by 17173CommRingLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraBracket.bracket · cited by 642Bracket.bracketLieSubalgebra · cited by 418LieSubalgebraLieSubalgebra.coe_bracketCITED BYCITES

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