Current library: Alpha v34, 4,223 checked-use theorems; Stable remains 432. Historical first admissions, original proof editions, and non-admitted aliases are preserved.
Definition in prerequisite notation
n = d · q + r ∧ Lt(r,d)Only definitions earlier in this acyclic notation graph are used here.
Hygienic expanded first-order definition
n = d * q + r /\ exists h. h + S r = dThe unchanged native kernel never receives this surface symbol. Binder-safe expansion produces only its existing first-order syntax.