PD0010 — Odd(n) — Definition

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 h. n = 2 * h + 1

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

SignedAlternatingCofactorTerm(ap,an,bp,bn,i,p,n)

Checked theorems using this definition

CE000F · signed_alternating_cofactor_term_odd

Separate complete second-wave branches: Full T13 proof · Alpha v27.