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Theorems · Theorem · nonassociative algebras

LieModule.weightSpace.congr_simp

∀ {R : Type u_2} {L : Type u_3} (M : Type u_4) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
  [inst_3 : AddCommGroup M] [inst_4 : Module R M] [inst_5 : LieRingModule L M] [inst_6 : LieModule R L M]
  (χ χ_1 : L → R), χ = χ_1 → LieModule.weightSpace M χ = LieModule.weightSpace M χ_1
Defined in
Mathlib.Algebra.Lie.Weights.Linear
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0 results in Mathlib
Foundations
Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingLieRingLieAlgebraAddCommGroupModuleLieRingModuleLieModule
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Module · cited by 20661ModuleCommRing · cited by 17173CommRingAddCommGroup · cited by 12871AddCommGroupLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieRingModule · cited by 727LieRingModuleLieSubmodule · cited by 489LieSubmoduleLieModule · cited by 424LieModuleLieModule.weightSpace · cited by 7LieModule.weightSpaceweightSpace.congr_simpCITED BYCITES

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