def definition def or abbrev

`exchangeSymmetryFromSpin`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

 191def exchangeSymmetryFromSpin (s : Spin) : ExchangeSymmetry :=

proof body

Definition body.

 192  if s.isHalfInteger then ExchangeSymmetry.antisymmetric
 193  else ExchangeSymmetry.symmetric
 194
 195/-- **THEOREM**: Fermions have antisymmetric wavefunctions. -/

used by (5)

From the project-wide theorem graph. These declarations reference this one in their body.

fermion_wavefunction_antisymmetric in IndisputableMonolith.QFT.PauliExclusion decl_use
boson_symmetric_wavefunction in IndisputableMonolith.QFT.SpinStatistics decl_use
fermion_antisymmetric_wavefunction in IndisputableMonolith.QFT.SpinStatistics decl_use
no_sm_falsifier in IndisputableMonolith.QFT.SpinStatistics decl_use
SpinStatisticsFalsifier in IndisputableMonolith.QFT.SpinStatistics decl_use

depends on (3)

Lean names referenced from this declaration's body.

ExchangeSymmetry in IndisputableMonolith.QFT.SpinStatistics decl_use
isHalfInteger in IndisputableMonolith.QFT.SpinStatistics decl_use
Spin in IndisputableMonolith.QFT.SpinStatistics decl_use