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theorem

scale_pos

proved
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module
IndisputableMonolith.Cosmology.LargeScaleStructureFromRS
domain
Cosmology
line
37 · github
papers citing
none yet

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open lean source

IndisputableMonolith.Cosmology.LargeScaleStructureFromRS on GitHub at line 37.

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formal source

  34  rw [div_eq_iff hpos.ne', pow_succ]
  35  ring
  36
  37theorem scale_pos (k : ℕ) : 0 < scale k := pow_pos phi_pos k
  38
  39structure LargeScaleStructureCert where
  40  five_regimes : Fintype.card LSSRegime = 5
  41  phi_ratio : ∀ k, scale (k + 1) / scale k = phi
  42  scale_always_pos : ∀ k, 0 < scale k
  43
  44noncomputable def largeScaleStructureCert : LargeScaleStructureCert where
  45  five_regimes := lssRegime_count
  46  phi_ratio := scale_ratio
  47  scale_always_pos := scale_pos
  48
  49end IndisputableMonolith.Cosmology.LargeScaleStructureFromRS