ND0009

ListCell(s,q,t)

The exact tagged natural-number list cell containing quotient q and tail t.

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

s = S ((q + t) * S (q + t) + (t + t))

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

Checked theorems using this definition

none directly; see definition consumers