recognition /
NumberTheory /
NumberTheory.ZeroLocationCost /
explainer
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formal statement (Lean)
53 theorem zeroDefect_eq_cosh_sub_one (ρ : ℂ) :
54 zeroDefect ρ = Real.cosh (zeroDeviation ρ) - 1 := by
proof body
Term-mode proof.
55 simpa [Foundation.DiscretenessForcing.J_log] using zeroDefect_eq_J_log ρ
56
57 /-- A point lies on the critical line exactly when its zero deviation is zero. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (13)
Lean names referenced from this declaration's body.
J_log
in IndisputableMonolith.Foundation.DiscretenessForcing
decl_use
A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
J_log
in IndisputableMonolith.Foundation.SimplicialLedger.ContinuumBridge
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
A
in IndisputableMonolith.Masses.Anchor
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
A
in IndisputableMonolith.Modal.Actualization
decl_use
zeroDefect
in IndisputableMonolith.NumberTheory.ZeroLocationCost
decl_use
zeroDefect_eq_J_log
in IndisputableMonolith.NumberTheory.ZeroLocationCost
decl_use
zeroDeviation
in IndisputableMonolith.NumberTheory.ZeroLocationCost
decl_use
point
in IndisputableMonolith.Numerics.Interval.Basic
decl_use