In mathematical logic, a theory can be extended with new constant or function names under certain conditions with the assurance that the extension introduces no contradiction; this result is the conservativity theorem. Extension by definitions is the best known approach, and requires unique existence of an object with the desired property, though addition of new names can also be done safely without uniqueness. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
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Source Extension by new constant and function names (Wikipedia)
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1. Extension by new constant and function names (Wikipedia)
Lead section, statement-form reference
Extension by definitions is perhaps the best-known approach, but it requires unique existence of an object with the desired property.
In Branch: Logic and Foundations, Lead sentence
In mathematical logic, a theory can be extended with new constants or function names under certain conditions with assurance that
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