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inductive

DMCandidate

definition
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module
IndisputableMonolith.Cosmology.CDMDensityParameterFromRS
domain
Cosmology
line
17 · github
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IndisputableMonolith.Cosmology.CDMDensityParameterFromRS on GitHub at line 17.

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  14
  15namespace IndisputableMonolith.Cosmology.CDMDensityParameterFromRS
  16
  17inductive DMCandidate where
  18  | wimp
  19  | axion
  20  | sterileNeutrino
  21  | primordialBH
  22  | selfInteracting
  23  deriving DecidableEq, Repr, BEq, Fintype
  24
  25theorem dmCandidate_count : Fintype.card DMCandidate = 5 := by decide
  26
  27noncomputable def omegaCDM : ℝ := 0.26
  28
  29theorem omegaCDM_band : (0.25 : ℝ) < omegaCDM ∧ omegaCDM < 0.27 := by
  30  unfold omegaCDM; refine ⟨?_, ?_⟩ <;> norm_num
  31
  32structure CDMDensityCert where
  33  five_candidates : Fintype.card DMCandidate = 5
  34  omega_band : (0.25 : ℝ) < omegaCDM ∧ omegaCDM < 0.27
  35
  36noncomputable def cdmDensityCert : CDMDensityCert where
  37  five_candidates := dmCandidate_count
  38  omega_band := omegaCDM_band
  39
  40end IndisputableMonolith.Cosmology.CDMDensityParameterFromRS