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formal statement (Lean)
161theorem kernel_gt_one_when_saturated {Rd Rb : ℝ} (hb : 0 < Rb) (h : Rb < Rd) :
162 1 < bandwidthKernel Rd Rb := by
proof body
Term-mode proof.
163 unfold bandwidthKernel
164 rw [one_lt_div hb]
165 exact h
166
167/-- The bandwidth kernel is below 1 when demand < bandwidth (Newtonian). -/
depends on (8)
Lean names referenced from this declaration's body.
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kernel
in IndisputableMonolith.Cosmology.BITKernelFamilies
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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kernel
in IndisputableMonolith.ILG.Kernel
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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bandwidthKernel
in IndisputableMonolith.Unification.BandwidthSaturation
decl_use
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bandwidth
in IndisputableMonolith.Unification.RecognitionBandwidth
decl_use