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Theorems · Theorem · nonassociative algebras

LieSubmodule.Quotient.mk_bracket

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] (I : LieIdeal R L)
  (x y : L), LieSubmodule.Quotient.mk ⁅x, y⁆ = ⁅LieSubmodule.Quotient.mk x, LieSubmodule.Quotient.mk y⁆
Defined in
Mathlib.Algebra.Lie.Quotient
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Foundations
Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingLieRingLieAlgebra
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CommRing · cited by 17173CommRingHasQuotient.Quotient · cited by 2301HasQuotient.QuotientLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraBracket.bracket · cited by 642Bracket.bracketLieSubmodule · cited by 489LieSubmoduleLieIdeal · cited by 282LieIdealLieSubmodule.Quotient.mk · cited by 6Quotient.mkQuotient.mk_bracketCITED BYCITES

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