IndisputableMonolith.Verification.CPMBridge.Exports
Public export surface for the CPM-to-RS bridge: it re-exports the initiality-style skeleton that records CPM constants across domains and identifies the unique constants witness matching the RS cone-projection invariants K_net=1 and C_proj=2. Verification and exclusivity authors cite it to pull a single stable API rather than the internal Initiality file. Structure is pure re-export plus thin naming of the core matching and universality lemmas; no new proofs live here.
claimExport module for the CPM$\Rightarrow$RS bridge: when domain CPM constants match the RS cone-projection invariants $K_{\mathrm{net}}=1$ and $C_{\mathrm{proj}}=2$, there is a unique constants witness coinciding with the RS instance, together with the matching predicate and the implication from universality to the RS core.
background
Recognition Science treats physical constants as forced by a single functional equation and a short forcing chain (T0–T8). On the verification side, the CPM bridge asks whether independent computational or categorical presentations of those constants can disagree with the RS instance once the cone-projection invariants are fixed.
The upstream Initiality module supplies a lightweight structural skeleton: it records CPM constants for several domains and shows that agreement with $K_{\mathrm{net}}=1$ and $C_{\mathrm{proj}}=2$ yields a unique constants witness identical to the RS one. That skeleton is explicitly preparatory for a full category-theoretic uniqueness argument and for hooking into the exclusivity theorem on the physics side.
This Exports module is the stable import point. Sibling names exposed here include a matching predicate against the RS core and a lemma that universality forces that core, so downstream verification code need not depend on internal file layout.
proof idea
This is an export module, not a proof module. It imports Mathlib and the Initiality skeleton, then re-exports the public names (matching against the RS core, and the implication from universality to that core). No new lemmas are proved; argument structure lives entirely in Initiality, which builds the unique-constants-witness claim from the cone-projection invariants.
why it matters in Recognition Science
The bridge sits in the Verification domain and is the clean entry point for anyone connecting CPM-style presentations to RS uniqueness. Upstream Initiality states the goal: a structural bridge that "sets the stage for a full category-theoretic uniqueness proof and for integration with the exclusivity theorem on the physics side." Exports freezes that API so exclusivity and cone-projection work can cite one module. It does not itself close exclusivity or the full initiality theorem; it only packages the skeleton that those results will consume. Framework landmarks touched indirectly are the forced constants and the uniqueness story around the RS instance, not T5–T8 directly.
scope and limits
- Does not prove full categorical initiality of RS; only exports the skeleton.
- Does not derive K_net=1 or C_proj=2; those are matching hypotheses.
- Does not connect to the exclusivity theorem or physics-side mass/alpha claims.
- Does not add new theorems beyond re-export of Initiality names.