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formal statement (Lean)
75theorem local_global_unification (L : SimplicialLedger) (S : SimplicialSheaf L)
76 [Fintype L.simplices] (h : H_LocalGlobalUnification L S)
77 (h_global : ∀ s : L.simplices, local_variation s (S.potential s) = 0) :
78 ∀ s : L.simplices, J_stationary (S.potential s) := h h_global
proof body
Term-mode proof.
79
80/-- **DEFINITION: Recognition Loop**
81 A recognition loop is a closed cycle of 3-simplices in the ledger. -/
depends on (20)
Lean names referenced from this declaration's body.
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of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
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of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
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A
in IndisputableMonolith.Foundation.IntegrationGap
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
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of
in IndisputableMonolith.Foundation.PhiForcingDerived
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H_LocalGlobalUnification
in IndisputableMonolith.Foundation.SimplicialLedger
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J_stationary
in IndisputableMonolith.Foundation.SimplicialLedger
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local_variation
in IndisputableMonolith.Foundation.SimplicialLedger
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SimplicialLedger
in IndisputableMonolith.Foundation.SimplicialLedger
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SimplicialSheaf
in IndisputableMonolith.Foundation.SimplicialLedger
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
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of
in IndisputableMonolith.Foundation.SpectralEmergence
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
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of
in IndisputableMonolith.Information.PhysicsComplexityStructure
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A
in IndisputableMonolith.Masses.Anchor
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
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A
in IndisputableMonolith.Modal.Actualization
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L
in IndisputableMonolith.Recognition
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L
in IndisputableMonolith.Recognition.Cycle3
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S
in IndisputableMonolith.Relativity.ILG.Action
decl_use