{"schema_version":"ocme-site-results-v1","locale":"en","page_type":"derivations","facts":{"questions":36000,"reviewed":36000,"display_candidates":0,"knowledge":302,"guides":299,"paths":59,"batches":360,"families":1441,"atlas":302,"core":80,"evidence":9,"formal_evidence":5,"formal_subjects":4,"lean_files":6,"lean_toolchain":"leanprover/lean4:v4.30.0","question_state":"candidate","english_state":"ai_candidate","question_Lean":"NOT_RUN","canonical_truth_promotion":false},"filters":{"q":"mko-quotient-vector-space"},"kind":"guides","total":1,"pages":1,"page":1,"entries":[{"id":"derivation-mko-quotient-vector-space-01","title":{"zh-Hant":"對角線的商空間","en":"Quotient by the diagonal line"},"summary":{"zh-Hant":"R²/span{(1,1)}的基底為[(0,1)]，維度1；零coset是整條對角線。","en":"R2/span{(1,1)} has basis [(0,1)] and dimension 1; its zero coset is the whole diagonal."},"mko_ids":["mko-quotient-vector-space"]}],"title":"Concept derivation guides"}