Theorems · Definition · nonassociative algebras

LieRinehartSubalgebra.casesOn

{A : Type u_1} →
  {L : Type u_2} →
    [inst : CommRing A] →
      [inst_1 : LieRing L] →
        [inst_2 : Module A L] →
          {motive : LieRinehartSubalgebra A L → Sort u} →
            (t : LieRinehartSubalgebra A L) →
              ((toSubmodule : Submodule A L) →
                  (lie_mem' :
                      ∀ {a b : L}, a ∈ toSubmodule.carrier → b ∈ toSubmodule.carrier → ⁅a, b⁆ ∈ toSubmodule.carrier) →
                    motive { toSubmodule := toSubmodule, lie_mem' := lie_mem' }) →
                motive t

Defined in

Mathlib.Algebra.LieRinehartAlgebra.Subalgebra

Cited by

0 results in Mathlib

Foundations

Depth 10 from the axioms · uses no axioms

Assumes

CommRingLieRingModule