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_h_defined_beta_at. ff_h_defined_beta_at + S (x) = S ((S (i)) * c)) /\ exists ff_q_defined_beta_at. b = ff_q_defined_beta_at * S ((S (i)) * c) + (x))The unchanged native kernel never receives this surface symbol. Binder-safe expansion produces only its existing first-order syntax.
Direct definition dependencies
none — first-order arithmetic only
Definitions depending on this notation
Checked theorems using this definition
BP0001 · bertrand_window_prime_divides_central_binomBP0003 · bertrand_window_central_valuation_at_most_oneBP0004 · bertrand_window_central_valuation_nonzeroBP0005 · bertrand_window_central_valuation_equals_oneBP0006 · bertrand_window_central_valuation_oneBP0007 · central_binom_prime_divisor_multiplicity_one_existsBP0008 · bertrand_chain_singleton_code_existsBP000B · bertrand_chain_prefix_extendBP000C · bertrand_chain_prefix_terminal_exists