recognition /
NumberTheory /
NumberTheory.RiemannHypothesis.XiSensorPickPositivity /
explainer
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formal statement (Lean)
90 def OnePointPickPositive (chart : HalfStripDiskChart)
91 (X : XiCayleyField) : Prop :=
proof body
Definition body.
92 ∀ s : ℂ, RightHalfStrip s →
93 0 ≤ (1 - ‖X s‖ ^ 2) / (1 - ‖chart.φ s‖ ^ 2)
94
95 /-- Full finite Pick positivity, stated as an interface. The one-point field is
96 included explicitly because it is the part we use theorem-grade here. -/
used by (2)
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.
one
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
one
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
as
in IndisputableMonolith.Foundation.SimplicialLedger.ContinuumBridge
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
HalfStripDiskChart
in IndisputableMonolith.NumberTheory.RiemannHypothesis.XiSensorPickPositivity
decl_use
RightHalfStrip
in IndisputableMonolith.NumberTheory.RiemannHypothesis.XiSensorPickPositivity
decl_use
XiCayleyField
in IndisputableMonolith.NumberTheory.RiemannHypothesis.XiSensorPickPositivity
decl_use
point
in IndisputableMonolith.Numerics.Interval.Basic
decl_use
one
in IndisputableMonolith.QFT.SpinStatistics
decl_use
one
in IndisputableMonolith.RecogSpec.Core
decl_use