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formal statement (Lean)
96theorem log_alphaInv_seed_ratio :
97 Real.log (alphaInv / alpha_seed) = -(f_gap / alpha_seed) := by
proof body
Term-mode proof.
98 rw [alphaInv_seed_ratio]
99 exact Real.log_exp _
100
101/-- Equivalent: ln(α⁻¹) = ln(α_seed) - f_gap/α_seed. -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (8)
Lean names referenced from this declaration's body.
-
alphaInv
in IndisputableMonolith.Constants.Alpha
decl_use
-
alpha_seed
in IndisputableMonolith.Constants.Alpha
decl_use
-
alphaInv_seed_ratio
in IndisputableMonolith.Constants.AlphaExponentialForm
decl_use
-
alpha_seed
in IndisputableMonolith.Constants.AlphaHigherOrder
decl_use
-
f_gap
in IndisputableMonolith.Constants.AlphaHigherOrder
decl_use
-
alpha_seed
in IndisputableMonolith.Constants.AlphaPrecision
decl_use
-
f_gap
in IndisputableMonolith.Constants.GapWeight
decl_use
-
f_gap
in IndisputableMonolith.Pipelines
decl_use