AutoSamplingTheory.SALD.cycle83GeneralMovingTargetDiscreteKlDerivativeEndpointWeakFpUpperObligation
Data definition / provenance and workflow record
Meaning and type
The result has data type AutoSamplingTheory.ProofObligation. 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 cycle83GeneralMovingTargetDiscreteKlDerivativeEndpointWeakFpUpperObligation :
ProofObligationConstruction and field-by-field explanation
Construct a data record from explicit fields and the audited defaults shown below.
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.
id:String(explicit)Stable obligation identifier.
sald.general_moving_target_discrete.cycle83_kl_derivative_endpoint_weak_fp_upperstatement:String(explicit)Desired mathematical or workflow content as String; it is not a proposition in Prop and the def does not prove it.
Cycle 83 upper records that cycle 82 passed reviewer/build and needs no recovery, confirms that Phase 1 theorem-skeleton translation is stable enough for cited-theory backfill, and keeps the active packet on sald.general_moving_target_discrete.em_interpolation_fp over appendix.tex:1358-1387. The selected lower packet is the KL-derivative handoff from the cycle-82 endpoint/conditional weak-FP source signs to eq:general_KL_derivative_0_discrete at the admissible log-ratio test.source:AutoSamplingTheory.SourceAnchor(explicit)SourceAnchor supporting the intended requirement.
AutoSamplingTheory.SALD.saldGeneralMovingTargetDiscreteKlWeakFpHandoffSource— audited data reference, not expanded and not a compiled dependency edgestatus:AutoSamplingTheory.ProofStatus(explicit)Stored ProofStatus, default obligation; even an explicitly stored formalized does not independently certify a Lean theorem.
AutoSamplingTheory.ProofStatus.obligation— stored label only; no proof certificationdependsOn:List String(explicit)List of declared dependency names as strings; may mix theorem names, obligations, source labels, or descriptions. Not the compiled dependency DAG.
Ordered data items
- SALD.cycle83GeneralMovingTargetDiscreteKlDerivativeEndpointWeakFpUpperPacket
- SALD.cycle82GeneralMovingTargetDiscreteWeakFpSourceSignsLowerObligation
- SALD.generalMovingTargetDiscreteEndpointConditionalWeakFpSourceSignsHandoff
- SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfSourceSigns
- sald.general_moving_target_discrete.em_interpolation_fp
- sald.general_moving_target_discrete.kl_derivative
note:String(explicit)Recorded evidence/caveats; may distinguish a compiled scalar helper from still-open source analysis.
Upper workflow obligation only. It fixes the lower packet and status discipline; it proves no analytic backend and promotes no theorem status.
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 cycle83GeneralMovingTargetDiscreteKlDerivativeEndpointWeakFpUpperObligation :
ProofObligation where
id := "sald.general_moving_target_discrete.cycle83_kl_derivative_endpoint_weak_fp_upper"
statement := "Cycle 83 upper records that cycle 82 passed reviewer/build and needs no recovery, confirms that Phase 1 theorem-skeleton translation is stable enough for cited-theory backfill, and keeps the active packet on sald.general_moving_target_discrete.em_interpolation_fp over appendix.tex:1358-1387. The selected lower packet is the KL-derivative handoff from the cycle-82 endpoint/conditional weak-FP source signs to eq:general_KL_derivative_0_discrete at the admissible log-ratio test."
source := saldGeneralMovingTargetDiscreteKlWeakFpHandoffSource
status := ProofStatus.obligation
dependsOn := [
"SALD.cycle83GeneralMovingTargetDiscreteKlDerivativeEndpointWeakFpUpperPacket",
"SALD.cycle82GeneralMovingTargetDiscreteWeakFpSourceSignsLowerObligation",
"SALD.generalMovingTargetDiscreteEndpointConditionalWeakFpSourceSignsHandoff",
"SALD.generalMovingTargetDiscreteKlDerivativeWeakFpHandoffOfSourceSigns",
"sald.general_moving_target_discrete.em_interpolation_fp",
"sald.general_moving_target_discrete.kl_derivative"
]
note := "Upper workflow obligation only. It fixes the lower packet and status discipline; it proves no analytic backend and promotes no theorem status."
/-- Cycle-83 middle obligation for the endpoint source-signs to KL source map. -/Existing module entry · Audited data-reader index · All teaching coverage