No prose has been written for this declaration yet. The Lean source and graph data below render
without it.
generate prose now
formal statement (Lean)
171theorem spin_statistics_fermion (s : Spin) (h : s.isHalfInteger) :
172 statisticsFromSpin s = Statistics.fermiDirac := by
proof body
Term-mode proof.
173 simp [statisticsFromSpin, h]
174
175/-- **THEOREM (Spin-Statistics)**: Integer spin implies Bose-Einstein statistics. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (6)
Lean names referenced from this declaration's body.
-
isHalfInteger
in IndisputableMonolith.QFT.SpinStatistics
decl_use
-
Spin
in IndisputableMonolith.QFT.SpinStatistics
decl_use
-
Statistics
in IndisputableMonolith.QFT.SpinStatistics
decl_use
-
statisticsFromSpin
in IndisputableMonolith.QFT.SpinStatistics
decl_use
-
fermiDirac
in IndisputableMonolith.Thermodynamics.FermiDirac
decl_use
-
fermiDirac
in IndisputableMonolith.Thermodynamics.JCostThermoBridge
decl_use