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formal statement (Lean)
93theorem proxyPhysicalizationBridge_iff_physicallyExists (sensor : DefectSensor) :
94 ProxyPhysicalizationBridge sensor ↔ PhysicallyExists sensor := by
proof body
Term-mode proof.
95 constructor
96 · exact physicallyExists_of_ProxyPhysicalizationBridge sensor
97 · intro hphys
98 let pkg := concreteEulerLedgerOntologyInterface sensor
99 letI : PhysicallyRealizableLedger sensor := pkg.realizableProxy
100 exact fun _ => hphys
101
102/-- The proxy physicalization bridge is equivalent to charge zero.
103Combines the bridge-to-existence equivalence with the ontological
104dichotomy `charge = 0 ↔ PhysicallyExists`. -/
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (11)
Lean names referenced from this declaration's body.
-
bridge
in IndisputableMonolith.ClassicalBridge.Fluids.CPM2D
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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DefectSensor
in IndisputableMonolith.NumberTheory.CostCoveringBridge
decl_use
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concreteEulerLedgerOntologyInterface
in IndisputableMonolith.NumberTheory.DirectedEulerLedger
decl_use
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physicallyExists_of_ProxyPhysicalizationBridge
in IndisputableMonolith.NumberTheory.ProxyPhysicalizationBridge
decl_use
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ProxyPhysicalizationBridge
in IndisputableMonolith.NumberTheory.ProxyPhysicalizationBridge
decl_use
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PhysicallyExists
in IndisputableMonolith.Unification.UnifiedRH
decl_use
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PhysicallyRealizableLedger
in IndisputableMonolith.Unification.UnifiedRH
decl_use