ND0031

EuclideanCommonDivisor(d,a,b)

Two actual natural divisibility witnesses for a common Euclidean divisor.

Conservative notation; not a theorem, primitive, or axiom.

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.

Hygienic expanded first-order definition

((exists egt_factor_transport_left. a = d * egt_factor_transport_left) /\ (exists egt_factor_transport_right. b = d * egt_factor_transport_right))

The unchanged native kernel never receives this surface symbol. Binder-safe expansion produces only its existing first-order syntax.

Direct definition dependencies

Definitions depending on this notation

none

Checked theorems using this definition