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theorem

no_fourth_generation

proved
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module
IndisputableMonolith.Foundation.ParticleGenerations
domain
Foundation
line
59 · github
papers citing
none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.Foundation.ParticleGenerations on GitHub at line 59.

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explainer page

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depends on

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formal source

  56/-! ## No Fourth Generation -/
  57
  58/-- For D = 3, there cannot be 4 face-pairs (by definition). -/
  59theorem no_fourth_generation :
  60    face_pairs 3 ≠ 4 := by
  61  norm_num [face_pairs]
  62
  63/-- For D = 3, there cannot be 2 face-pairs. -/
  64theorem not_two_generations :
  65    face_pairs 3 ≠ 2 := by
  66  norm_num [face_pairs]
  67
  68end ParticleGenerations
  69end Foundation
  70end IndisputableMonolith