Theorems · Theorem · nonassociative algebras

LieSubmodule.mem_restr

∀ {R : Type u} {L : Type v} {M : Type w} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : AddCommGroup M]
  [inst_3 : Module R M] [inst_4 : LieRingModule L M] [inst_5 : LieAlgebra R L] {N : LieSubmodule R L M}
  {H : LieSubalgebra R L} {m : M}, m ∈ N.restr H ↔ m ∈ N

Defined in

Mathlib.Algebra.Lie.Submodule

Cited by

0 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext

Assumes

CommRingLieRingAddCommGroupModuleLieRingModuleLieAlgebra