Riemann Naming Stability Reduction

Abstract

The RH naming-stability claim reduces exactly to the missing shifted-response congruence bridge.

Theorem 1.1 (Conditional interior-closure fixed-point equivalence).

$$RH⟺\mathrm{IsForwardCongruence}(F_{shift},R_J)\to \begin{array}{c}RH⟺I(F_{shift},R_J)=R_J,\\ RH⟺\mathrm{IsForwardCongruence}(F_{shift},R_J),\\ RH⟺C(F_{shift},R_J)=R_J,\\ RH⟺I(F_{shift},R_J)=R_J=C(F_{shift},R_J).\end{array}$$

Proof. Machine-checked in Lean as D5/S3/Observer/RiemannNamingStabilityReduction.riemann_naming_stability_reduction (✓ std3). ∎

Source. Repository-derived.

Commentary.

The shifted response and reflection-name relation remain abstract. The hypothesis isolates the missing analytic theorem that RH is equivalent to forward congruence of that relation.

Under precisely that bridge, the existing dual repair theorem identifies RH with the interior fixed point, the closure fixed point, and their simultaneous fixed-point equation.

References

• Truth anchor: D5/S3/Observer/RiemannNamingStabilityReduction.riemann_naming_stability_reduction
• Dependency: D5/S3/Observer/Separation/CongruenceClosureDuality