ND0073 · conservative definition

TrivialFermatFourSolution

Exactly the two zero-coordinate orientations of a natural Fermat-four solution: x=0 and y=z, or y=0 and x=z.

Current library: Alpha v34, 4,223 checked-use theorems; Stable remains 432. Historical first admissions, original proof editions, and non-admitted aliases are preserved. Exact original first-admission records.

Readable signature

TrivialFermatFourSolution(x, y, z)

Exact expansion

(((x) = 0 /\ (y) = (z)) \/ ((y) = 0 /\ (x) = (z)))

This node is conservative notation, not a theorem, axiom, predicate constant, or kernel rule. Its expansion remains in the unchanged first-order language.

Definition neighborhood

Depends on conservative definitions

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Used by conservative definitions

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All transitive conservative prerequisites

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Used by theorem statements or local proof propositions

Grand-campaign planning vocabulary

Locate TrivialFermatFourSolution in the global campaign vocabulary →

Reviewed TrivialFermatFourSolution corresponds to blueprint TrivialFermatFourSolution with checked argument positions [0, 1, 2].

The global atlas describes planning vocabulary and does not itself certify a definition or theorem. The reviewed expansion and conservative dependency DAG on this page are the actual family-local reading definitions.