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def

comparative_status

definition
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module
IndisputableMonolith.RecogGeom.Comparative
domain
RecogGeom
line
236 · github
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open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.RecogGeom.Comparative on GitHub at line 236.

browse module

All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

open explainer

depends on

formal source

 233
 234/-! ## Module Status -/
 235
 236def comparative_status : String :=
 237  "✓ ComparativeRecognizer defined (RG7)\n" ++
 238  "✓ notGreaterThan, comparativeEquiv: induced relations\n" ++
 239  "✓ InducesPreorder: when comparisons give a preorder\n" ++
 240  "✓ InducesPartialOrder: when comparisons give partial order\n" ++
 241  "✓ Comparative equivalence is an equivalence relation\n" ++
 242  "✓ IsOrderCompatible: compatibility with standard recognizers\n" ++
 243  "✓ order_descends_to_quotient: order structure on quotient\n" ++
 244  "✓ SeparatesPoints: families that distinguish all configurations\n" ++
 245  "✓ MetricCompatible: when comparisons respect a metric\n" ++
 246  "✓ RecognitionDistance: pseudometric from recognition\n" ++
 247  "\n" ++
 248  "COMPARATIVE RECOGNIZERS (RG7) COMPLETE"
 249
 250#eval comparative_status
 251
 252end RecogGeom
 253end IndisputableMonolith