{{ section_name }}
{{ rendered_sections_narrative[section_name] | safe }} {% endif %} {% endfor %} {# Counter-evidence section #} {% set counter_evidence = rendered_sections_md.get("Counter-Evidence Search") or rendered_sections_md.get("What Could Challenge This Verdict?") %} {% if counter_evidence %}What could challenge this verdict?
{{ rendered_sections_md.get(key ~ "__heading", key) }}
Proof Logic
{{ section_name }}
{{ rendered_sections_narrative[section_name] | safe }} {% endif %} {% endfor %}No empirical citations — verdict established by the deductive argument of {{ claim_formal.attribution }}. This artifact is a verifiable companion: it re-presents the cited argument and regression-tests the implementation. The mathematical authority is the cited source, not this artifact.
{% if proof.purpose == "methodology_demonstration" %}This artifact's purpose is methodology demonstration of the proof-engine framework on a known result. Cite this artifact only if your work evaluates the framework or its methodology; for the mathematical result itself, cite the primary source above.
{% endif %} {% else %}No empirical citations — verdict established by deductive argument; computational checks regression-test the implementation.
{% endif %} {% else %}No empirical citations — verdict established by computation.
{% endif %} {% endif %}Before any verdict ships, the engine runs adversarial searches for evidence that could break the proof. {{ adv_checks | length }} were run here.
{% for check in adv_checks %} {% set broke = check.breaks_proof %} {% set has_finding = check.finding or check.search_performed or check.verification_performed %}| subject | {{ claim_formal.subject }} |
|---|---|
| property | {{ claim_formal.property }} |
| operator | {{ claim_formal.operator }} |
| threshold | {{ claim_formal.threshold }} |
| note | {{ claim_formal.operator_note }} |
| direction | {{ claim_formal.direction }} |
| {% if loop.first %}sub-claims{% endif %} | {{ item.id if item.id is defined else loop.index }}{% if item.description is defined %} — {{ item.description }}{% elif item is string %} — {{ item }}{% endif %} |
| {% if loop.first %}sub-claims{% endif %} | {{ sc_id }}{% if sc_val is string %} — {{ sc_val }}{% elif sc_val.description is defined %} — {{ sc_val.description }}{% endif %} |
No structured claim specification available.
{% endif %}