IndisputableMonolith.Foundation.OptionAEmpiricalDeliverables

   1import Mathlib
   2import IndisputableMonolith.Foundation.OptionAEmpiricalActionPlan
   3
   4/-!
   5# Option A Empirical Deliverables
   6
   7Concrete artifacts expected from the Option A empirical action plan. This
   8module turns the first-pass schedule into an auditable set of outputs.
   9
  10Lean status: 0 sorry, 0 axiom.
  11-/
  12
  13namespace IndisputableMonolith
  14namespace Foundation
  15namespace OptionAEmpiricalDeliverables
  16
  17open OptionAFalsifierRegistry
  18open OptionAEmpiricalSchedule
  19open OptionAEmpiricalActionPlan
  20
  21/-- Deliverable artifact expected from an empirical analysis. -/
  22inductive Deliverable where
  23  | oncologyFactorModelNotebook
  24  | memoryCollapseNotebook
  25  | attentionPlateauPlot
  26  | regulatoryCeilingTable
  27  | planetPhiRatioTable
  28  | cognitiveDecoderBenchmark
  29  | responseCoefficientPanel
  30  | quantumAddressingBenchmark
  31  | eriksonReverseCohortTable
  32  deriving DecidableEq, Repr, Fintype
  33
  34theorem deliverable_count : Fintype.card Deliverable = 9 := by
  35  decide
  36
  37/-- Deliverable assigned to each Option A combination. -/
  38def deliverableFor : CombinationID → Deliverable
  39  | .c3OncologyTensor => .oncologyFactorModelNotebook
  40  | .c8MillerSpan => .memoryCollapseNotebook
  41  | .c5AttentionTensor => .attentionPlateauPlot
  42  | .c9RegulatoryCeiling => .regulatoryCeilingTable
  43  | .c2PlanetStrata => .planetPhiRatioTable
  44  | .c1CognitiveTensor => .cognitiveDecoderBenchmark
  45  | .c7UniversalResponse => .responseCoefficientPanel
  46  | .c4QuantumMolecularDepth => .quantumAddressingBenchmark
  47  | .c6EriksonReverse => .eriksonReverseCohortTable
  48
  49theorem deliverableFor_injective : Function.Injective deliverableFor := by
  50  intro a b h
  51  cases a <;> cases b <;> simp [deliverableFor] at h ⊢
  52
  53def firstPassDeliverables : List Deliverable :=
  54  firstPassSchedule.map deliverableFor
  55
  56theorem firstPassDeliverables_eq :
  57    firstPassDeliverables =
  58      [ .oncologyFactorModelNotebook
  59      , .memoryCollapseNotebook
  60      , .attentionPlateauPlot
  61      , .regulatoryCeilingTable
  62      , .planetPhiRatioTable
  63      ] := by
  64  decide
  65
  66theorem firstPassDeliverables_length :
  67    firstPassDeliverables.length = 5 := by
  68  rw [firstPassDeliverables_eq]
  69  decide
  70
  71theorem firstPassDeliverables_nodup :
  72    firstPassDeliverables.Nodup := by
  73  rw [firstPassDeliverables_eq]
  74  decide
  75
  76/-- A scheduled test has a deliverable artifact. -/
  77def HasDeliverable (c : CombinationID) : Prop :=
  78  ∃ d : Deliverable, deliverableFor c = d
  79
  80theorem hasDeliverable_all (c : CombinationID) :
  81    HasDeliverable c := by
  82  exact ⟨deliverableFor c, rfl⟩
  83
  84theorem scheduled_has_deliverable
  85    {c : CombinationID} (_h : c ∈ firstPassSchedule) :
  86    HasDeliverable c :=
  87  hasDeliverable_all c
  88
  89theorem c3_deliverable :
  90    deliverableFor .c3OncologyTensor = .oncologyFactorModelNotebook := rfl
  91
  92theorem c8_deliverable :
  93    deliverableFor .c8MillerSpan = .memoryCollapseNotebook := rfl
  94
  95theorem c5_deliverable :
  96    deliverableFor .c5AttentionTensor = .attentionPlateauPlot := rfl
  97
  98structure EmpiricalDeliverablesCert where
  99  nine_deliverables : Fintype.card Deliverable = 9
 100  deliverable_injective : Function.Injective deliverableFor
 101  first_pass_deliverables :
 102    firstPassDeliverables =
 103      [ .oncologyFactorModelNotebook
 104      , .memoryCollapseNotebook
 105      , .attentionPlateauPlot
 106      , .regulatoryCeilingTable
 107      , .planetPhiRatioTable
 108      ]
 109  first_pass_length : firstPassDeliverables.length = 5
 110  first_pass_nodup : firstPassDeliverables.Nodup
 111  scheduled_deliverables :
 112    ∀ {c : CombinationID}, c ∈ firstPassSchedule → HasDeliverable c
 113  c3_output : deliverableFor .c3OncologyTensor = .oncologyFactorModelNotebook
 114  c8_output : deliverableFor .c8MillerSpan = .memoryCollapseNotebook
 115  c5_output : deliverableFor .c5AttentionTensor = .attentionPlateauPlot
 116
 117def empiricalDeliverablesCert : EmpiricalDeliverablesCert where
 118  nine_deliverables := deliverable_count
 119  deliverable_injective := deliverableFor_injective
 120  first_pass_deliverables := firstPassDeliverables_eq
 121  first_pass_length := firstPassDeliverables_length
 122  first_pass_nodup := firstPassDeliverables_nodup
 123  scheduled_deliverables := scheduled_has_deliverable
 124  c3_output := c3_deliverable
 125  c8_output := c8_deliverable
 126  c5_output := c5_deliverable
 127
 128end OptionAEmpiricalDeliverables
 129end Foundation
 130end IndisputableMonolith
 131