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I have slightly adjusted the Idea-section to read as follows
In category theory, the notion of a magmoidal groupoid is the groupoidal categorification of the notion of magma, hence a magmoidal groupoid is simply a groupoid equipped with a “binary operation” on it. Similarly, under the relation between category theory and type theory, in homotopy type theory a magmoidal groupoid is a 1-truncated type equipped with a binary operation.
also added plural redirect: [[!redirects magmoidal groupoids]]
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