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def

composition_status

definition
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module
IndisputableMonolith.RecogGeom.Composition
domain
RecogGeom
line
204 · github
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open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.RecogGeom.Composition on GitHub at line 204.

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

 201
 202/-! ## Module Status -/
 203
 204def composition_status : String :=
 205  "✓ CompositeRecognizer defined (RG6)\n" ++
 206  "✓ composite_indistinguishable_iff: c₁ ~₁₂ c₂ ↔ (c₁ ~₁ c₂) ∧ (c₁ ~₂ c₂)\n" ++
 207  "✓ composite_refines_left/right: composite refines both components\n" ++
 208  "✓ composite_resolutionCell: cells are intersections\n" ++
 209  "✓ quotientMapLeft/Right: surjective quotient maps\n" ++
 210  "✓ REFINEMENT THEOREM: composite quotient refines both components\n" ++
 211  "✓ composite_comm: composition is commutative\n" ++
 212  "✓ Information monotonicity theorems\n" ++
 213  "\n" ++
 214  "COMPOSITION (RG6) COMPLETE"
 215
 216#eval composition_status
 217
 218end RecogGeom
 219end IndisputableMonolith