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Following the discussion here, I have cleared this page, and removed the three pointers to it, which were at balanced category, at isomorphisms and at bireflective subcategory (all of them doing nothing but claiming the terminology).
A fourth mentioning of the word (without a link) was and is at power-associative algebra, where it is used to mean binary multimorphism (and again, that page wouldn’t lose anything if it just said that instead of “bimorphism”).
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