AutoSamplingTheory.SALD.cycle36GronwallUpperObligation

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.

def cycle36GronwallUpperObligation : ProofObligation

Construction 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.gronwall.cycle36_upper_packet

statement : String (explicit)

Desired mathematical or workflow content as String; it is not a proposition in Prop and the def does not prove it.

Maintain the cycle 36 upper packet for appendix.tex lines 47-71: return to proof-closure priority item (1), lem:gronwall, and direct middle/lower work toward a proof-producing assembly of the original integrating-factor proof using the existing compiled local real-calculus helpers while keeping the full Gronwall lemma at obligation status until the closed-interval calculus backend builds.

source : AutoSamplingTheory.SourceAnchor (explicit)

SourceAnchor supporting the intended requirement.

AutoSamplingTheory.SALD.saldGronwallSource — audited data reference, not expanded and not a compiled dependency edge

status : 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 certification

dependsOn : 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

1. SALD.cycle36GronwallUpperPacket
2. SALD.gronwallContract
3. SALD.saldGronwallCandidateContract
4. SALD.saldGronwallEndpointCalculusContract
5. SALD.saldGronwallExponentRewriteContract
6. SALD.gronwallIntegratingFactorDerivativeLeOfIntegral
7. SALD.gronwallOrderIntegrationOfHasDerivAt
8. SALD.gronwallEndpointEvaluationScalar
9. SALD.gronwallEndpointMultiplyByExpNegScalar
10. SALD.gronwallExpProductRewriteIntegralCongr
11. sald.gronwall.integrating_factor
12. sald.gronwall.endpoint_calculus
13. sald.gronwall.exponent_rewrite

note : String (explicit)

Recorded evidence/caveats; may distinguish a compiled scalar helper from still-open source analysis.

This is an upper-role assignment packet. It does not close lem:gronwall; the remaining proof work is the global closed-interval derivative/FTC/integrability assembly plus final exponent-congruence inputs under the exact source signs and constants.

def cycle36GronwallUpperObligation : ProofObligation where
  id := "sald.gronwall.cycle36_upper_packet"
  statement := "Maintain the cycle 36 upper packet for appendix.tex lines 47-71: return to proof-closure priority item (1), lem:gronwall, and direct middle/lower work toward a proof-producing assembly of the original integrating-factor proof using the existing compiled local real-calculus helpers while keeping the full Gronwall lemma at obligation status until the closed-interval calculus backend builds."
  source := saldGronwallSource
  status := ProofStatus.obligation
  dependsOn := [
    "SALD.cycle36GronwallUpperPacket",
    "SALD.gronwallContract",
    "SALD.saldGronwallCandidateContract",
    "SALD.saldGronwallEndpointCalculusContract",
    "SALD.saldGronwallExponentRewriteContract",
    "SALD.gronwallIntegratingFactorDerivativeLeOfIntegral",
    "SALD.gronwallOrderIntegrationOfHasDerivAt",
    "SALD.gronwallEndpointEvaluationScalar",
    "SALD.gronwallEndpointMultiplyByExpNegScalar",
    "SALD.gronwallExpProductRewriteIntegralCongr",
    "sald.gronwall.integrating_factor",
    "sald.gronwall.endpoint_calculus",
    "sald.gronwall.exponent_rewrite"
  ]
  note := "This is an upper-role assignment packet. It does not close lem:gronwall; the remaining proof work is the global closed-interval derivative/FTC/integrability assembly plus final exponent-congruence inputs under the exact source signs and constants."

/-- Cycle-36 middle proof-producing Gronwall assembly record. -/