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formal statement (Lean)
167def statisticsFromSpin (s : Spin) : Statistics :=
proof body
Definition body.
168 if s.isHalfInteger then Statistics.fermiDirac else Statistics.boseEinstein
169
170/-- **THEOREM (Spin-Statistics)**: Half-integer spin implies Fermi-Dirac statistics. -/
used by (3)
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.
-
isHalfInteger
in IndisputableMonolith.QFT.SpinStatistics
decl_use
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Spin
in IndisputableMonolith.QFT.SpinStatistics
decl_use
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Statistics
in IndisputableMonolith.QFT.SpinStatistics
decl_use
-
boseEinstein
in IndisputableMonolith.Thermodynamics.BoseEinstein
decl_use
-
boseEinstein
in IndisputableMonolith.Thermodynamics.FermiDirac
decl_use
-
fermiDirac
in IndisputableMonolith.Thermodynamics.FermiDirac
decl_use
-
boseEinstein
in IndisputableMonolith.Thermodynamics.JCostThermoBridge
decl_use
-
fermiDirac
in IndisputableMonolith.Thermodynamics.JCostThermoBridge
decl_use