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
(((~(p = 1) /\ forall frm_prime_left_ptmf_milestone_prime frm_prime_right_ptmf_milestone_prime. p = frm_prime_left_ptmf_milestone_prime * frm_prime_right_ptmf_milestone_prime -> frm_prime_left_ptmf_milestone_prime = 1 \/ frm_prime_right_ptmf_milestone_prime = 1)) /\ ((exists ff_residue_ptmf_milestone_residue. (p) = 4 * ff_residue_ptmf_milestone_residue + 3) /\ (exists ff_quotient_ptmf_milestone_divides. (n) = (p) * ff_quotient_ptmf_milestone_divides)))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