canonical2025Q4_summary_nonempty
plain-language theorem explainer
The canonical Q4-2025 RG-transport policy identity carries a non-empty policy summary string. Certificate auditors and downstream verification lemmas cite this to ensure the Lean-side binding is not a blank placeholder. The proof is a one-step native decision on the concrete string field of the fixed identity record.
Claim. The policy-summary field of the canonical 2025-Q4 RG-transport policy identity is not the empty string.
background
This module is a Lean-side binding layer for an external renormalization-group (RG) transport certificate. It does not run RG numerics in Lean. It freezes an auditable identity: policy name, certificate path, generation timestamp, generator script, SHA-256 of the JSON artifact, and a human-readable policy summary, so later certificates can point at one exact policy artifact rather than floating numbers.
The upstream definition canonical2025Q4 is that frozen record. Its doc-comment states it mirrors data/certificates/rg_transport/canonical_2025_q4.json, with the hash equal to the SHA-256 of that file, under the name RS_CANONICAL_2025_Q4. The present theorem only concerns the summary string on that record: it must be non-empty so the binding is not a silent blank.
proof idea
One-step kernel decision. After unfolding the concrete canonical identity, native_decide evaluates the inequality between the summary string and "" and closes the goal. No algebraic lemmas are required.
why it matters
In the Verification domain this is a hygiene gate on the RG-transport policy anchor: a non-empty summary means the Lean metadata is intentionally filled, not a stub. The module's role is identity binding only; this lemma makes that binding checkable in proofs that later assert path or hash match. No downstream consumers are wired yet in the graph, so it currently stands as a local integrity fact for the Q4-2025 canonical certificate rather than a step in the T0–T8 forcing chain or the mass/alpha numerics.
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