ND0022

BinaryExponentSplit(e,h,b)

The exact binary decomposition e=2*h+b with an explicit b=0 or b=1 witness.

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

(((b = 0) \/ (b = 1)) /\ e = (h + h) + b)

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

Direct definition dependencies

none — first-order arithmetic only

Definitions depending on this notation

none

Checked theorems using this definition