`status_summary`

definition

show as: view math explainer →

module: IndisputableMonolith.RecogGeom.EffectiveManifold
domain: RecogGeom
line: 153 · github
papers citing: none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.RecogGeom.EffectiveManifold on GitHub at line 153.

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

 150-/
 151
 152/-- Summary: the three open problems and their formalization status. -/
 153def status_summary : String :=
 154  "U1: EffectiveManifoldHypotheses — bundles U2+U4 into single structure\n" ++
 155  "U2: RefinementConverges — eventually separates all distinct points\n" ++
 156  "U3: DimensionInvariant — stated as hypothesis interface\n" ++
 157  "U4: NonCollapseCondition — monotone separation (auto from refinement)\n" ++
 158  "    monotone_separation_of_refinement: PROVED (no sorry)\n" ++
 159  "    convergence_implies_identity: PROVED (no sorry)\n" ++
 160  "STATUS: Hypothesis interfaces complete; manifold existence is the\n" ++
 161  "        genuinely open mathematics (requires topology of inverse limits)."
 162
 163end EffectiveManifold
 164end RecogGeom
 165end IndisputableMonolith

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