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Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
A more common name for this is the support of an object, and I believe the correct definition would be as a reflection into subterminals. In good cases that can be computed as the given coequalizer, but not always. If no one objects I will make those changes.
Thanks!
added cross-link with inhabited object
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