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Theorem

Diaconescu's Theorem

Logic and Foundations

In mathematical logic, Diaconescu's theorem, also known as the Goodman-Myhill theorem, states that the full axiom of choice is sufficient to derive the law of the excluded middle, or restricted forms of it. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Statement Form
Characterization Theorem 1
Proof Year
1975 1
Connections

Has Statement Form

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.

In Branch

Source Diaconescu's theorem (Wikipedia)
Sources
1. Diaconescu's theorem (Wikipedia)
In Branch: Logic and Foundations, Lead sentenceView the Source
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