recognition /
NumberTheory /
NumberTheory.ContourWinding /
explainer
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formal statement (Lean)
68 def zeroWindingFromCert (cert : ZeroWindingCert) (r : ℝ) (hr : 0 < r)
69 (hrR : r < cert.radius) : WindingData :=
proof body
Definition body.
70 { center := cert.center
71 radius := r
72 radius_pos := hr
73 charge := 0 }
74
75 /-- The winding charge produced by `zeroWindingFromCert` is always 0. -/
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.
radius
in IndisputableMonolith.Complexity.CellularAutomata
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
winding
in IndisputableMonolith.Masses.Ribbons
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
WindingData
in IndisputableMonolith.NumberTheory.ContourWinding
decl_use
ZeroWindingCert
in IndisputableMonolith.NumberTheory.EulerCarrierComplex
decl_use