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 = mThe 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
BX0001 · binary_modulus_nontrivial_nonzeroBX0002 · binary_canonical_residue_existsBX0004 · binary_canonical_residue_exists_uniqueBX000A · binary_modular_square_residue_existsBX000B · binary_modular_multiply_residue_existsBX000C · binary_modular_step_existsBX000E · binary_modular_exponentiation_result_existsBX0010 · binary_modular_exponentiation_result_exists_unique