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.
Definition in prerequisite notation
a ≤ bOnly definitions earlier in this acyclic notation graph are used here.
Hygienic expanded first-order definition
exists h. h + a = bThe 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
GF005C · gaussian_divisor_norm_boundGF0064 · gaussian_gcd_bezout_bounded_existsGF006D · gaussian_search_natural_le_squareGF006E · gaussian_search_signed_code_boundGF0074 · gaussian_proper_norm_divisor_decidableGF0077 · gaussian_search_bounded_coordinates_monotoneGF0080 · gaussian_irreducible_divisor_bounded_normGF0094 · gaussian_irreducible_factorization_bounded_norm