Theorems · Theorem · nonassociative algebras

LieAlgebra.isSolvable_tensorProduct_iff

∀ (R : Type u) (L : Type v) [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {A : Type u_1}
  [inst_3 : CommRing A] [inst_4 : Algebra R A] [Module.FaithfullyFlat R A],
  LieAlgebra.IsSolvable (TensorProduct R A L) ↔ LieAlgebra.IsSolvable L

Defined in

Mathlib.Algebra.Lie.Solvable

Cited by

0 results in Mathlib

Foundations

Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingLieRingLieAlgebraCommRingAlgebraModule.FaithfullyFlat