S = A @ B
If both $A$ and $B$ are instances of LieIdeal, then $S$ is of type LieIdeal. If both $A$ and $B$ are instances of LieSubAlgebra but not both of LieIdeal, then $S$ is of type LieSubAlgebra. Otherwise, $S$ is of type LieSubSpace.
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The source of this document is in /build/reproducible-path/macaulay2-1.25.05+ds/M2/Macaulay2/packages/GradedLieAlgebras/doc.m2:1639:0.