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
UnitResidue(m,a)Exact expansion
(~((a) = 0) /\ (exists dp_gap. dp_gap + S (a) = m))This node is notation, not a theorem, axiom, predicate constant, or kernel rule. The elaboration layer must expand it before proof checking.