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_modulus_gap_binary_advanced. ff_modulus_gap_binary_advanced + S 1 = m
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
Checked theorems using this definition
BE0006 · binary_execution_power_zeroBE000A · binary_execution_prefix_extendBE000B · binary_execution_prefix_existsBE000C · binary_modular_execution_existsBE0010 · binary_modular_execution_power_correctBE0011 · binary_modular_execution_horner_existsBE0012 · binary_modular_execution_result_functionalBE0013 · binary_modular_execution_result_exists_unique