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formal statement (Lean)
68theorem exp_kernel_pos (z z0 : ℝ) :
69 0 < kernel KernelFamily.exponential z z0 := by
proof body
Term-mode proof.
70 unfold kernel
71 exact Real.exp_pos _
72
73/-- The maximum BIT amplitude is `J(φ) = φ - 3/2 ≈ 0.118`. -/
depends on (9)
Lean names referenced from this declaration's body.
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kernel
in IndisputableMonolith.Cosmology.BITKernelFamilies
decl_use
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KernelFamily
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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amplitude
in IndisputableMonolith.QFT.SMatrixUnitarity
decl_use
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amplitude
in IndisputableMonolith.Quantum.DoubleSlit
decl_use