Theorems · Theorem · nonassociative algebras

LieSubalgebra.mem_inf

∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
  (K K' : LieSubalgebra R L) (x : L), x ∈ K ⊓ K' ↔ x ∈ K ∧ x ∈ K'

Defined in

Mathlib.Algebra.Lie.Subalgebra

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommRingLieRingLieAlgebra