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 ff_gap_binary_advanced. ff_gap_binary_advanced + S (r) = m) /\ (exists ff_left_binary_advanced_congruence ff_right_binary_advanced_congruence. (a) + m * ff_left_binary_advanced_congruence = (r) + m * ff_right_binary_advanced_congruence))The unchanged native kernel never receives this surface symbol. Binder-safe expansion produces only its existing first-order syntax.
Direct definition dependencies
Definitions depending on this notation
Checked theorems using this definition
none directly; see definition consumers
Separate complete second-wave branches: Full T13 proof · Alpha v27.