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inductive definition def or abbrev

WallpaperGroup

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formal statement (Lean)

  71inductive WallpaperGroup
  72  | p1 | p2 | pm | pg | cm | pmm | pmg | pgg | cmm
  73  | p4 | p4m | p4g | p3 | p3m1 | p31m | p6 | p6m
  74  deriving DecidableEq, Repr
  75
  76/-- Canonical orbit count under the full symmetry-group action on the
  77unit cell. These are the standard crystallographic orbit
  78multiplicities (point-group order × 1 for the symmorphic groups; the
  79non-symmorphic groups inherit the same orbit count from their point
  80group on a fundamental domain that ignores the glide). -/

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