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formal statement (Lean)
66theorem alphaInv_positive : 0 < alphaInv := by
proof body
Term-mode proof.
67 unfold alphaInv
68 exact mul_pos alpha_seed_positive (Real.exp_pos _)
69
70/-- The exponential factor is in (0, 1] since f_gap ≥ 0 (assuming w₈ > 0). -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (10)
Lean names referenced from this declaration's body.
-
alphaInv
in IndisputableMonolith.Constants.Alpha
decl_use
-
alpha_seed_positive
in IndisputableMonolith.Constants.AlphaExponentialForm
decl_use
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f_gap
in IndisputableMonolith.Constants.AlphaHigherOrder
decl_use
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alpha_seed_positive
in IndisputableMonolith.Constants.AlphaPrecision
decl_use
-
f_gap
in IndisputableMonolith.Constants.GapWeight
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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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
-
f_gap
in IndisputableMonolith.Pipelines
decl_use