`CPMMethodCert`

definition

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module: IndisputableMonolith.URCGenerators.CPMMethodCert
domain: URCGenerators
line: 22 · github
papers citing: none yet

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IndisputableMonolith.URCGenerators.CPMMethodCert on GitHub at line 22.

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formal source

  19-/
  20
  21/-- Standalone certificate for the CPM method. -/
  22structure CPMMethodCert where
  23  deriving Repr
  24
  25/-- A small toy CPM model witnessing consistency of the assumptions.
  26
  27All functionals are constant 1, and the inequalities hold numerically with
  28`Knet = 1`, `Cproj = 2`, `Ceng = 1`, `Cdisp = 1`.
  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

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