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
(a = b * q + r /\ (exists ff_lt_ec_advanced_division. ff_lt_ec_advanced_division + S r = b))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
GT0001 · euclidean_divisor_remainder_transportGT0002 · euclidean_divisor_dividend_transportGT0003 · euclidean_common_divisor_forwardGT0004 · euclidean_common_divisor_backwardGT0005 · euclidean_common_divisor_iffGT0006 · euclidean_gcd_step_forwardGT0007 · euclidean_gcd_step_backwardGT0008 · euclidean_gcd_step_iffGT0009 · euclidean_gcd_step_output_unique