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theorem

physical_interpretation_finite_resolution

proved
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module
IndisputableMonolith.RecogGeom.FiniteResolution
domain
RecogGeom
line
159 · github
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open lean source

IndisputableMonolith.RecogGeom.FiniteResolution on GitHub at line 159.

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All declarations in this module, on Recognition.

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formal source

 156
 157    This is not an approximation or limitation of measurement—it is a
 158    fundamental feature of reality as described by recognition geometry. -/
 159theorem physical_interpretation_finite_resolution
 160    (h : IsLocallyDiscrete L r) :
 161    ∀ c, ∃ U ∈ L.N c, (r.R '' U).Finite := by
 162  intro c
 163  exact h c
 164
 165/-! ## Module Status -/
 166
 167def finite_resolution_status : String :=
 168  "✓ HasFiniteLocalResolution defined (RG4)\n" ++
 169  "✓ HasFiniteResolution: global finite resolution\n" ++
 170  "✓ finite_resolution_event_in_finite\n" ++
 171  "✓ finite_resolution_mono: inheritance by smaller neighborhoods\n" ++
 172  "✓ no_injection_on_infinite_finite: key non-injection theorem\n" ++
 173  "✓ finite_resolution_not_injective: corollary\n" ++
 174  "✓ eventCount, minResolution: counting distinct events\n" ++
 175  "✓ physical_interpretation_finite_resolution\n" ++
 176  "\n" ++
 177  "FINITE RESOLUTION (RG4) COMPLETE"
 178
 179#eval finite_resolution_status
 180
 181end RecogGeom
 182end IndisputableMonolith