AutoSamplingTheory.SALD.cycle58UnifiedDiscreteGeneralDag

Data definition / provenance and workflow record

Meaning and type

The result has data type List AutoSamplingTheory.ProofDagBlock. A value of this type stores descriptions; it is not a proof of the statements in those descriptions.

Lean statement of this data definition

The part after the colon is the output data type. This declaration takes no mathematical proof inputs.

def cycle58UnifiedDiscreteGeneralDag : List ProofDagBlock

Construction and field-by-field explanation

Construct an ordered list of the following data items. It is not a logical conjunction or proof DAG.

This Lean definition constructs provenance or workflow data. It does not prove the mathematical statements stored as text. Status labels, named dependencies and citations are data, not compilation, proof or source certificates.

Ordered data items

id : String (explicit)
Stable plan-node identifier.
ASTIS.SALD.unified_discrete_general.cycle58_upper_route
interface : String (explicit)
Text describing intended mathematical interface.
Cycle-58 upper route refresh: consume the cycle-57 guided/general route and cycle-53 unified/discrete route, recheck the five slow analytic interfaces, and keep thm:unified-forward-KL plus thm:general-moving-target-SALD-discrete wired through the paper specialization and EM/frozen-delta/DV/Gronwall chain.
source : AutoSamplingTheory.SourceAnchor (explicit)
Source pointer.
AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteSource — audited data reference, not expanded and not a compiled dependency edge
targetLean : String (explicit)
Textual planned implementation destination.
AutoSamplingTheory/SALD.lean
dependsOn : List String (explicit)
Declared input names as strings, default empty.
Ordered data items
1. SALD.cycle58UnifiedDiscreteGeneralUpperPacket
2. SALD.cycle58UnifiedDiscreteGeneralSkeletonObligation
3. SALD.cycle57GuidedGeneralSkeletonMiddleObligation
4. SALD.cycle53UnifiedDiscreteGeneralMiddleObligation
5. SALD.cycle56DiscreteForwardKlGronwallLowerObligation
6. sald.unified_forward_kl.specialization
7. sald.general_moving_target.kl_derivative
8. sald.general_moving_target.gronwall_side_conditions
9. sald.general_moving_target_discrete.kl_derivative
10. sald.general_moving_target_discrete.dv_m_energy
11. SALD.generalMovingTargetDiscretePointwiseGronwallInputOfPostDvTimeChanged
12. sald.general_moving_target_discrete.gronwall_application
13. sald.general_moving_target_discrete.gronwall_side_conditions
reusedBy : List String (explicit)
Declared consumers as strings, default empty.
Ordered data items
1. thm:unified-forward-KL
2. thm:general-moving-target-SALD-discrete
3. cycle58 lower Gronwall/display packet
status : AutoSamplingTheory.ProofStatus (explicit)
Recorded workflow status, default planned.
AutoSamplingTheory.ProofStatus.obligation — stored label only; no proof certification
id : String (explicit)
Stable plan-node identifier.
ASTIS.SALD.unified_discrete_general.cycle58_middle_route_audit
interface : String (explicit)
Text describing intended mathematical interface.
Cycle-58 middle route audit: verify the unified specialization and discrete general EM/frozen-delta/LSI/DV/Gronwall chain against the paper order, then hand off appendix.tex:1573-1600 to the discrete general Gronwall/display side-condition backend.
source : AutoSamplingTheory.SourceAnchor (explicit)
Source pointer.
AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteGronwallSideConditionSource — audited data reference, not expanded and not a compiled dependency edge
targetLean : String (explicit)
Textual planned implementation destination.
AutoSamplingTheory/SALD.lean
dependsOn : List String (explicit)
Declared input names as strings, default empty.
Ordered data items
1. SALD.cycle58UnifiedDiscreteGeneralMiddleContract
2. SALD.cycle58UnifiedDiscreteGeneralMiddleObligation
3. SALD.cycle58UnifiedDiscreteGeneralSkeletonObligation
4. SALD.cycle57GuidedGeneralSkeletonMiddleObligation
5. SALD.cycle53UnifiedDiscreteGeneralMiddleObligation
6. SALD.cycle53GeneralMovingTargetDiscreteDerivativeDvLowerObligation
7. sald.unified_forward_kl.specialization
8. sald.general_moving_target.kl_derivative
9. sald.general_moving_target_discrete.em_interpolation_fp
10. sald.general_moving_target_discrete.kl_derivative
11. sald.general_moving_target_discrete.dv_m_energy
12. sald.general_moving_target_discrete.gronwall_application
13. sald.general_moving_target_discrete.gronwall_side_conditions
reusedBy : List String (explicit)
Declared consumers as strings, default empty.
Ordered data items
1. thm:unified-forward-KL
2. thm:general-moving-target-SALD-discrete
3. cycle58 lower Gronwall/display packet
status : AutoSamplingTheory.ProofStatus (explicit)
Recorded workflow status, default planned.
AutoSamplingTheory.ProofStatus.obligation — stored label only; no proof certification
id : String (explicit)
Stable plan-node identifier.
ASTIS.SALD.general_moving_target_discrete.cycle58_lower_packet.gronwall_display
interface : String (explicit)
Text describing intended mathematical interface.
Selected lower packet for cycle 58: refine sald.general_moving_target_discrete.gronwall_side_conditions over appendix.tex:1573-1600, covering endpoint stitching for K(t), constant inverse-schedule coefficient rewrites, Gronwall regularity, and exact matching of eq:general_moving_target_KL_bound_discrete.
source : AutoSamplingTheory.SourceAnchor (explicit)
Source pointer.
AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteGronwallSideConditionSource — audited data reference, not expanded and not a compiled dependency edge
targetLean : String (explicit)
Textual planned implementation destination.
AutoSamplingTheory/SALD.lean
dependsOn : List String (explicit)
Declared input names as strings, default empty.
Ordered data items
1. SALD.cycle58UnifiedDiscreteGeneralSkeletonObligation
2. SALD.cycle58UnifiedDiscreteGeneralMiddleObligation
3. SALD.generalMovingTargetDiscreteGronwallInstantiationContract
4. SALD.generalMovingTargetDiscreteGronwallSideConditionContract
5. SALD.generalMovingTargetDiscreteGronwallSideConditionObligation
6. SALD.cycle20GeneralVaSaldDiscreteGronwallMiddleObligation
7. SALD.generalMovingTargetDiscreteConstantScheduleSquareScalar
8. SALD.generalMovingTargetDiscreteResidualCoefficientRewriteScalar
9. SALD.generalMovingTargetDiscreteGammaCoefficientRewriteScalar
10. SALD.generalMovingTargetDiscreteDeltaCoefficientRewriteScalar
11. SALD.generalMovingTargetDiscretePointwiseGronwallInputOfPostDvTimeChanged
12. sald.general_moving_target_discrete.gronwall_application
13. sald.general_moving_target_discrete.constant_schedule_stitching
14. sald.general_moving_target_discrete.kl_derivative
15. sald.general_moving_target_discrete.dv_m_energy
16. sald.gronwall.integrating_factor
reusedBy : List String (explicit)
Declared consumers as strings, default empty.
Ordered data items
1. sald.general_moving_target_discrete.gronwall_side_conditions
2. thm:general-moving-target-SALD-discrete
status : AutoSamplingTheory.ProofStatus (explicit)
Recorded workflow status, default planned.
AutoSamplingTheory.ProofStatus.obligation — stored label only; no proof certification

Exact Lean data construction

Each field assignment stores the corresponding value shown above. Omitted fields use the explicitly identified schema defaults. Strings that name theorems remain strings; they do not call those theorems.

def cycle58UnifiedDiscreteGeneralDag : List ProofDagBlock :=
  [
    {
      id := "ASTIS.SALD.unified_discrete_general.cycle58_upper_route"
      interface := "Cycle-58 upper route refresh: consume the cycle-57 guided/general route and cycle-53 unified/discrete route, recheck the five slow analytic interfaces, and keep thm:unified-forward-KL plus thm:general-moving-target-SALD-discrete wired through the paper specialization and EM/frozen-delta/DV/Gronwall chain."
      source := saldGeneralMovingTargetDiscreteSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle58UnifiedDiscreteGeneralUpperPacket",
        "SALD.cycle58UnifiedDiscreteGeneralSkeletonObligation",
        "SALD.cycle57GuidedGeneralSkeletonMiddleObligation",
        "SALD.cycle53UnifiedDiscreteGeneralMiddleObligation",
        "SALD.cycle56DiscreteForwardKlGronwallLowerObligation",
        "sald.unified_forward_kl.specialization",
        "sald.general_moving_target.kl_derivative",
        "sald.general_moving_target.gronwall_side_conditions",
        "sald.general_moving_target_discrete.kl_derivative",
        "sald.general_moving_target_discrete.dv_m_energy",
        "SALD.generalMovingTargetDiscretePointwiseGronwallInputOfPostDvTimeChanged",
        "sald.general_moving_target_discrete.gronwall_application",
        "sald.general_moving_target_discrete.gronwall_side_conditions"
      ]
      reusedBy := ["thm:unified-forward-KL", "thm:general-moving-target-SALD-discrete", "cycle58 lower Gronwall/display packet"]
      status := ProofStatus.obligation
    },
    {
      id := "ASTIS.SALD.unified_discrete_general.cycle58_middle_route_audit"
      interface := "Cycle-58 middle route audit: verify the unified specialization and discrete general EM/frozen-delta/LSI/DV/Gronwall chain against the paper order, then hand off appendix.tex:1573-1600 to the discrete general Gronwall/display side-condition backend."
      source := saldGeneralMovingTargetDiscreteGronwallSideConditionSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle58UnifiedDiscreteGeneralMiddleContract",
        "SALD.cycle58UnifiedDiscreteGeneralMiddleObligation",
        "SALD.cycle58UnifiedDiscreteGeneralSkeletonObligation",
        "SALD.cycle57GuidedGeneralSkeletonMiddleObligation",
        "SALD.cycle53UnifiedDiscreteGeneralMiddleObligation",
        "SALD.cycle53GeneralMovingTargetDiscreteDerivativeDvLowerObligation",
        "sald.unified_forward_kl.specialization",
        "sald.general_moving_target.kl_derivative",
        "sald.general_moving_target_discrete.em_interpolation_fp",
        "sald.general_moving_target_discrete.kl_derivative",
        "sald.general_moving_target_discrete.dv_m_energy",
        "sald.general_moving_target_discrete.gronwall_application",
        "sald.general_moving_target_discrete.gronwall_side_conditions"
      ]
      reusedBy := ["thm:unified-forward-KL", "thm:general-moving-target-SALD-discrete", "cycle58 lower Gronwall/display packet"]
      status := ProofStatus.obligation
    },
    {
      id := "ASTIS.SALD.general_moving_target_discrete.cycle58_lower_packet.gronwall_display"
      interface := "Selected lower packet for cycle 58: refine sald.general_moving_target_discrete.gronwall_side_conditions over appendix.tex:1573-1600, covering endpoint stitching for K(t), constant inverse-schedule coefficient rewrites, Gronwall regularity, and exact matching of eq:general_moving_target_KL_bound_discrete."
      source := saldGeneralMovingTargetDiscreteGronwallSideConditionSource
      targetLean := "AutoSamplingTheory/SALD.lean"
      dependsOn := [
        "SALD.cycle58UnifiedDiscreteGeneralSkeletonObligation",
        "SALD.cycle58UnifiedDiscreteGeneralMiddleObligation",
        "SALD.generalMovingTargetDiscreteGronwallInstantiationContract",
        "SALD.generalMovingTargetDiscreteGronwallSideConditionContract",
        "SALD.generalMovingTargetDiscreteGronwallSideConditionObligation",
        "SALD.cycle20GeneralVaSaldDiscreteGronwallMiddleObligation",
        "SALD.generalMovingTargetDiscreteConstantScheduleSquareScalar",
        "SALD.generalMovingTargetDiscreteResidualCoefficientRewriteScalar",
        "SALD.generalMovingTargetDiscreteGammaCoefficientRewriteScalar",
        "SALD.generalMovingTargetDiscreteDeltaCoefficientRewriteScalar",
        "SALD.generalMovingTargetDiscretePointwiseGronwallInputOfPostDvTimeChanged",
        "sald.general_moving_target_discrete.gronwall_application",
        "sald.general_moving_target_discrete.constant_schedule_stitching",
        "sald.general_moving_target_discrete.kl_derivative",
        "sald.general_moving_target_discrete.dv_m_energy",
        "sald.gronwall.integrating_factor"
      ]
      reusedBy := ["sald.general_moving_target_discrete.gronwall_side_conditions", "thm:general-moving-target-SALD-discrete"]
      status := ProofStatus.obligation
    }
  ]

/-- Cycle-59 upper ledger for the post-cycle-58 analytic-interface sprint.

The previous cycle closed the unified/discrete general route through reviewer
and build.  This ledger records the upper-level phase judgment required before
any cited-theory backfill: the five slow analytic backends are explicit enough
for theorem-skeleton routing, but only one narrow backend should be assigned
next.
-/

Existing module entry · Audited data-reader index · All teaching coverage