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.
Readable signature
QRes(m, a)Exact expansion
exists qr_x_defined_qres. exists qr_u_defined_qres qr_v_defined_qres. qr_x_defined_qres * qr_x_defined_qres + m * qr_u_defined_qres = a + m * qr_v_defined_qresThis node is conservative notation, not a theorem, axiom, predicate constant, or kernel rule. Its expansion remains in the unchanged first-order language.
Definition neighborhood
Depends on conservative definitions
Used by conservative definitions
none
All transitive conservative prerequisites
Used by theorem statements or local proof propositions
TS0005 prime_mod_four_one_minus_one_square_exists TS0006 prime_mod_four_one_bounded_minus_one_square_exists TS0008 prime_mod_four_one_divisible_two_square_norm_exists TS0023 negative_one_norm_multiple_yields_predecessor_residue TS0024 prime_divisible_two_square_norm_unit_coordinate_yields_negative_one_root TS0025 three_mod_four_prime_has_no_negative_one_root TS0026 three_mod_four_prime_norm_divisor_forces_second_coordinateGrand-campaign planning vocabulary
Locate QRes in the global campaign vocabulary →
Reviewed QRes corresponds to blueprint QRes with checked argument positions [0, 1].
The global atlas describes planning vocabulary and does not itself certify a definition or theorem. The reviewed expansion and conservative dependency DAG on this page are the actual family-local reading definitions.