pith. machine review for the scientific record. sign in
structure

CrystalSystemsCert

definition
show as:
view math explainer →
module
IndisputableMonolith.Physics.CrystalSystemsFromConfigDim
domain
Physics
line
38 · github
papers citing
none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.Physics.CrystalSystemsFromConfigDim on GitHub at line 38.

browse module

All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

open explainer

depends on

used by

formal source

  35def bravaisLatticeCount : ℕ := 14
  36theorem bravais_eq : bravaisLatticeCount = 14 := rfl
  37
  38structure CrystalSystemsCert where
  39  five_orthogonal : Fintype.card OrthogonalCrystalSystem = 5
  40  seven_total : (7 : ℕ) = 5 + 2
  41  bravais_14 : bravaisLatticeCount = 14
  42
  43def crystalSystemsCert : CrystalSystemsCert where
  44  five_orthogonal := orthogonalSystem_count
  45  seven_total := seven_systems_partition
  46  bravais_14 := bravais_eq
  47
  48end IndisputableMonolith.Physics.CrystalSystemsFromConfigDim