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formal statement (Lean)
69structure InternetSpectralGapCert where
70 gap_pos : ∀ k, 0 < spectralGap k
71 strictly_decreasing : ∀ k, spectralGap (k + 1) < spectralGap k
72 ratio : ∀ k, spectralGap (k + 1) / spectralGap k = phi⁻¹
73 as_core_pos : 0 < asCoreGap
74
75/-- Internet spectral-gap certificate. -/
used by (3)
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.
-
gap
in IndisputableMonolith.Gap45.Derivation
decl_use
-
gap_pos
in IndisputableMonolith.Information.LDPCCodeRateFromPhi
decl_use
-
gap
in IndisputableMonolith.Masses.AnchorPolicy
decl_use
-
gap
in IndisputableMonolith.Masses.RSBridge.Anchor
decl_use
-
asCoreGap
in IndisputableMonolith.NetworkScience.InternetSpectralGap
decl_use
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spectralGap
in IndisputableMonolith.NetworkScience.InternetSpectralGap
decl_use
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InternetSpectralGapCert
in IndisputableMonolith.NetworkScience.InternetSpectralGapFromPhiLadder
decl_use
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spectralGap
in IndisputableMonolith.NetworkScience.InternetSpectralGapFromPhiLadder
decl_use
-
gap
in IndisputableMonolith.RSBridge.Anchor
decl_use