recognition /
Foundation /
Foundation.ObserverForcing /
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formal statement (Lean)
175 theorem nontrivial_recognition_forces_observer
176 (events : ℕ → RecognitionEvent)
177 (h_nontrivial : ∃ n m : ℕ, (events n).state ≠ (events m).state) :
178 ∃ obs : Observer, obs.recognition.events = events := by
proof body
Term-mode proof.
179 refine ⟨{
180 recognition := {
181 events := events,
182 reference := RecognitionEvent.identity,
183 nontrivial := h_nontrivial
184 },
185 persistent := identity_persistent
186 }, rfl⟩
187
188 /-! ## §7. Strengthening: Cooper-Paired Reference -/
189
190 /-- An alternative observer construction: instead of using the canonical
191 identity event as the reference, use a Cooper-paired event built
192 from any positive state. The resulting observer is still a valid
193 observer because the Cooper pair sits at the J-cost minimum. -/
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (26)
Lean names referenced from this declaration's body.
nontrivial
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cost
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cost
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identity
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identity_persistent
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Observer
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nontrivial_recognition_forces_observer
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in IndisputableMonolith.Foundation.SimplicialLedger.ContinuumBridge
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in IndisputableMonolith.Foundation.SpectralEmergence
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identity
in IndisputableMonolith.RRF.Foundation.VantageCategory
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