theorem
proved
scale_pos
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IndisputableMonolith.Cosmology.LargeScaleStructureFromRS on GitHub at line 37.
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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