We prove that the lattice reduct of every lattice-ordered pregroup is semidistributive. This is a consequence of a certain weak form of the distributive law which holds in lattice-ordered pregroups.

中文翻译：

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格序预群是半分布的

我们证明每个晶格有序的预群的晶格约简是半分布的。这是由于分布定律的某种弱形式而导致的，这种形式存在于晶格有序的预群中。