recognition /
QFT /
QFT.SpinStatistics /
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formal statement (Lean)
101 theorem int_half_exclusive (s : Spin) : ¬(s.isInteger ∧ s.isHalfInteger) := by
proof body
Term-mode proof.
102 unfold isInteger isHalfInteger
103 omega
104
105 end Spin
106
107 /-! ## 8-Tick Phase Accumulation -/
108
109 /-- The phase accumulated by a spin-s particle over the 8-tick cycle.
110 For a 2π rotation (one complete cycle), the phase is exp(2πis). -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (22)
Lean names referenced from this declaration's body.
complete
in IndisputableMonolith.Complexity.SAT.Backprop
decl_use
tick
in IndisputableMonolith.Constants
decl_use
tick
in IndisputableMonolith.Constants.RSNativeUnits
decl_use
phase
in IndisputableMonolith.Foundation.EightTick
decl_use
one
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
one
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
Tick
in IndisputableMonolith.Foundation.TimeEmergence
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
Phase
in IndisputableMonolith.Information.ChurchTuringPhysicsStructure
decl_use
Tick
in IndisputableMonolith.Masses.Ribbons
decl_use
Tick
in IndisputableMonolith.Masses.Ribbons.Tick
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
Tick
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
phase
in IndisputableMonolith.NumberTheory.RiemannHypothesis.Wedge
decl_use
isHalfInteger
in IndisputableMonolith.QFT.SpinStatistics
decl_use
isInteger
in IndisputableMonolith.QFT.SpinStatistics
decl_use
one
in IndisputableMonolith.QFT.SpinStatistics
decl_use
Spin
in IndisputableMonolith.QFT.SpinStatistics
decl_use
one
in IndisputableMonolith.RecogSpec.Core
decl_use
Phase
in IndisputableMonolith.RRF.Hypotheses.EightTick
decl_use