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
IsGCD(g, a, b)Exact expansion
((exists x. a = g * x) /\ (exists y. b = g * y)) /\ forall d. (exists u. a = d * u) -> (exists v. b = d * v) -> exists w. g = d * wThis 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
Used by conservative definitions
none
All transitive conservative prerequisites
Used by theorem statements or local proof propositions
Grand-campaign planning vocabulary
Locate Gcd in the global campaign vocabulary →
Reviewed IsGCD corresponds to blueprint Gcd with checked argument positions [2, 0, 1].
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.