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formal statement (Lean)
153structure DiscreteContinuumBridge : Prop where
154 -- Tier 1: PROVED (from ContinuumManifoldEmergence and this module)
155 flat_chain : FlatChain
156 coupling_positive : (8 : ℝ) * phi ^ (5 : ℝ) > 0
157 dimension : (1 : ℕ) + 3 = 4
158
159 -- Tier 2: PROVED (from Curvature.lean, LeviCivitaTheorem.lean)
160 christoffel_torsion_free : IsTorsionFree (christoffel minkowski_tensor)
161 levi_civita_exists : FundamentalTheoremExistence minkowski_tensor
162 levi_civita_unique : FundamentalTheoremUniqueness minkowski_tensor
163
164 -- Tier 3: HYPOTHESIS (external mathematics)
165 regge_convergence : ReggeConvergenceHypothesis
166
167/-- The bridge certificate is inhabited (modulo the Regge hypothesis). -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
-
bridge_certificate
in IndisputableMonolith.Relativity.Geometry.DiscreteBridge
decl_use
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EndToEndChain
in IndisputableMonolith.Relativity.Geometry.DiscreteBridge
decl_use
depends on (16)
Lean names referenced from this declaration's body.
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christoffel
in IndisputableMonolith.Action.EulerLagrange
decl_use
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bridge
in IndisputableMonolith.ClassicalBridge.Fluids.CPM2D
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
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from
in IndisputableMonolith.Foundation.PrimitiveDistinction
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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and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
decl_use
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christoffel
in IndisputableMonolith.Relativity.Geometry.Curvature
decl_use
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FlatChain
in IndisputableMonolith.Relativity.Geometry.DiscreteBridge
decl_use
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ReggeConvergenceHypothesis
in IndisputableMonolith.Relativity.Geometry.DiscreteBridge
decl_use
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FundamentalTheoremExistence
in IndisputableMonolith.Relativity.Geometry.LeviCivitaTheorem
decl_use
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FundamentalTheoremUniqueness
in IndisputableMonolith.Relativity.Geometry.LeviCivitaTheorem
decl_use
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IsTorsionFree
in IndisputableMonolith.Relativity.Geometry.LeviCivitaTheorem
decl_use
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minkowski_tensor
in IndisputableMonolith.Relativity.Geometry.Metric
decl_use
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christoffel_torsion_free
in IndisputableMonolith.Relativity.Geometry.RiemannSymmetries
decl_use