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
SL0000 bounded_euler_criterion_complete SL0003 quadratic_supplement_minus_one_half_parity SL0004 quadratic_supplement_minus_one_residue_iff_mod_four_one SL0005 quadratic_supplement_minus_one_nonresidue_iff_mod_four_three SL0006 quadratic_supplement_minus_one_complete SL0007 bounded_gauss_lemma_complete SL000O quadratic_supplement_two_conditional_on_gauss_count_shape SL000Q quadratic_supplement_two_half_complete SL000R quadratic_supplement_two_residue_iff_mod_eight_one_or_seven SL000S quadratic_supplement_two_nonresidue_iff_mod_eight_three_or_five SL000T quadratic_supplement_two_completeGrand-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.