`toyModel`

definition

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module: IndisputableMonolith.URCGenerators.CPMMethodCert
domain: URCGenerators
line: 32 · github
papers citing: none yet

open explainer

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open lean source

IndisputableMonolith.URCGenerators.CPMMethodCert on GitHub at line 32.

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explainer page

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depends on

used by

formal source

  29
  30This is not intended to model physics; it is only a nontrivial consistency witness.
  31-/
  32noncomputable def toyModel : Model Unit where
  33  C := {
  34    Knet := 1,
  35    Cproj := 2,
  36    Ceng := 1,
  37    Cdisp := 1,
  38    Knet_nonneg := by norm_num,
  39    Cproj_nonneg := by norm_num,
  40    Ceng_nonneg := by norm_num,
  41    Cdisp_nonneg := by norm_num
  42  }
  43  defectMass := fun _ => 1
  44  orthoMass  := fun _ => 1
  45  energyGap  := fun _ => 1
  46  tests      := fun _ => 1
  47  projection_defect := by
  48    intro _
  49    norm_num
  50  energy_control := by
  51    intro _
  52    norm_num
  53  dispersion := by
  54    intro _
  55    norm_num
  56
  57lemma toyModel_defect_pos : toyModel.defectMass () > 0 := by
  58  simp [toyModel]
  59
  60lemma toyModel_energy_pos : toyModel.energyGap () > 0 := by
  61  simp [toyModel]
  62

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