IndisputableMonolith.Verification.CPMBridge.Exports
Export surface for the CPM-to-RS bridge: it re-exports the initiality skeleton that records CPM constants across domains and identifies the unique constants witness matching RS cone-projection invariants. Verification authors cite it when wiring CPM data into the RS core. The module itself is a thin re-export layer over Initiality; the mathematical content lives in the imported uniqueness and matching lemmas.
claimThe module exports 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 fixes a cone-projection pair of invariants, $K_{\mathrm{net}}=1$ and $C_{\mathrm{proj}}=2$, that characterize the RS constants instance. The CPM side records analogous constants for independent physical domains. The bridge asks when those recorded constants are forced to the RS values.
The upstream Initiality module supplies the lightweight structural skeleton: it "records CPM constants for multiple independent domains and shows that, when they match the RS cone-projection invariants ($K_{\mathrm{net}}=1$, $C_{\mathrm{proj}}=2$), there is a unique constants witness coinciding with the RS instance." Sibling names on this export surface include a matching predicate against the RS core and an implication from a universality hypothesis to that core.
This Exports module sits in the Verification domain and is the stable import point for downstream exclusivity and uniqueness arguments that need the CPM$\Rightarrow$RS constants witness without depending on internal Initiality layout.
proof idea
This is an export module, not a proof module. It imports Mathlib and the Initiality skeleton and surfaces the bridge API (matching against the RS core, and the implication from universality to the RS core). No new theorems are proved here; argument structure and uniqueness live in Initiality.
why it matters in Recognition Science
The export surface is the integration hinge between CPM constant tables and the RS exclusivity story. Upstream Initiality already "sets the stage for a full category-theoretic uniqueness proof and for integration with the exclusivity theorem on the physics side." Downstream consumers (none listed yet on this page) are expected to import here rather than Initiality directly, so the constants witness and the RS-core matching lemmas stay stable under internal refactors.
In the broader forcing chain, the bridge is verification infrastructure rather than a T0–T8 step: it does not derive $J$, $\varphi$, the eight-tick octave, or $D=3$, but it packages the constants uniqueness needed when those landmarks are compared against external CPM data.
scope and limits
- Does not prove category-theoretic initiality; only exports the lightweight skeleton.
- Does not derive RS landmarks (J-uniqueness, phi, eight-tick, D=3).
- Does not itself construct CPM constant tables for concrete domains.
- Does not discharge exclusivity on the physics side; only stages that integration.
- Does not add theorems beyond re-export of Initiality content.