Q=L/I
Any object of type LieAlgebra is a finitely presented (differential) Lie algebra modulo an ideal, which is an object of type LieIdeal (and which might be zero). If the input Lie algebra $L$ is finitely presented, then the output Lie algebra $Q$ is simply presented as a quotient of $L$ by the input ideal $I$. (Observe that each time L/I is executed, a new different copy of L/I is produced.)
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If the input Lie algebra $L$ is given as a finitely presented Lie algebra $M$ modulo an ideal $J$ that is not (known to be) finitely generated (e.g., the kernel of a homomorphism ), then the output Lie algebra $Q$ is presented as $M$ modulo the ideal that is the inverse image of the natural map from $M$ to $L$ applied to the input ideal $I$.
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