Theorems · Theorem · nonassociative algebras

LieSubmodule.mem_inf

∀ {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] (N N' : LieSubmodule R L M) (x : M), x ∈ N ⊓ N' ↔ x ∈ N ∧ x ∈ N'

Defined in

Mathlib.Algebra.Lie.Submodule

Cited by

0 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Quot.sound

Assumes

CommRingLieRingAddCommGroupModuleLieRingModule