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.
Definition in prerequisite notation
∀ fms_i_secondwave. Lt(fms_i_secondwave,p) → BetaAt(b,c,fms_i_secondwave,1) → BetaAt(d,e,fms_i_secondwave,1)Only definitions earlier in this acyclic notation graph are used here.
Hygienic expanded first-order definition
forall fms_i_secondwave. (exists fms_gap_secondwave. fms_gap_secondwave + S (fms_i_secondwave) = (p)) -> (((exists fs_h_fms_secondwave_left. fs_h_fms_secondwave_left + S (1) = S ((S (fms_i_secondwave)) * c)) /\ exists fs_q_fms_secondwave_left. b = fs_q_fms_secondwave_left * S ((S (fms_i_secondwave)) * c) + (1))) -> (((exists fs_h_fms_secondwave_right. fs_h_fms_secondwave_right + S (1) = S ((S (fms_i_secondwave)) * e)) /\ exists fs_q_fms_secondwave_right. d = fs_q_fms_secondwave_right * S ((S (fms_i_secondwave)) * e) + (1)))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
none