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formal statement (Lean)
412theorem HonestPhaseCostBridge_iff_rh :
413 HonestPhaseCostBridge ↔
414 (∀ sensor : WitnessedDefectSensor, sensor.charge = 0) :=
proof body
Term-mode proof.
415 ⟨fun hb sensor => by
416 by_contra hm
417 exact direct_rh_from_honestPhaseCostBridge hb sensor hm,
418 HonestPhaseCostBridge_of_rh⟩
419
420/-! ### §8. Cross-route connection: ontology → analytic -/
421
422/-- The ontology bridge immediately supplies the honest-phase cost bridge.
423This proves closing EBBA closes ALL active routes simultaneously. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (9)
Lean names referenced from this declaration's body.
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bridge
in IndisputableMonolith.ClassicalBridge.Fluids.CPM2D
decl_use
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phase
in IndisputableMonolith.Foundation.EightTick
decl_use
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cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
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cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
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direct_rh_from_honestPhaseCostBridge
in IndisputableMonolith.NumberTheory.AnalyticTrace
decl_use
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HonestPhaseCostBridge
in IndisputableMonolith.NumberTheory.AnalyticTrace
decl_use
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HonestPhaseCostBridge_of_rh
in IndisputableMonolith.NumberTheory.AnalyticTrace
decl_use
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WitnessedDefectSensor
in IndisputableMonolith.NumberTheory.EulerInstantiation
decl_use
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phase
in IndisputableMonolith.NumberTheory.RiemannHypothesis.Wedge
decl_use