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formal statement (Lean)
337theorem mass_gap_is_spatial_minimum :
338 ∀ n : ℤ, n ≠ 0 → massGap ≤ Jcost (PhiLadder n) := spectral_gap
proof body
Term-mode proof.
339
340/-- The mass gap is exactly J(φ). -/
depends on (12)
Lean names referenced from this declaration's body.
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
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PhiLadder
in IndisputableMonolith.Foundation.PhiEmergence
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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gap
in IndisputableMonolith.Gap45.Derivation
decl_use
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gap
in IndisputableMonolith.Masses.AnchorPolicy
decl_use
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gap
in IndisputableMonolith.Masses.RSBridge.Anchor
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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gap
in IndisputableMonolith.RSBridge.Anchor
decl_use
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massGap
in IndisputableMonolith.Unification.YangMillsMassGap
decl_use
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PhiLadder
in IndisputableMonolith.Unification.YangMillsMassGap
decl_use
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spectral_gap
in IndisputableMonolith.Unification.YangMillsMassGap
decl_use