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Suppose L {\displaystyle L} is a Lie ring and L ′ = [ L , L ] {\displaystyle L'=[L,L]} is its derived subring. Then, L ′ {\displaystyle L'} is a divisibility-invariant subring of L {\displaystyle L} .
![{\displaystyle L'=[L,L]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1e5c583be675667d3c70f99d32958137128d9eda)
