StripPhase7Cert
plain-language theorem explainer
StripPhase7Cert records the honest status of zero-free results in the Recognition Science zeta program. It certifies the proved boundary region where the Riemann zeta function has no zeros for real part at least 1, while naming the critical-strip bridge as a target and noting that this bridge follows from the Riemann Hypothesis. The declaration is a direct structure definition that assembles these components from prior certificates.
Claim. A structure consisting of a boundary zero-free certificate (asserting $riemannZeta(s) ≠ 0$ for all $s ∈ ℂ$ with $Re(s) ≥ 1$), named indicators that the logarithmic and critical strip bridges are identified as targets, and the implication that the Riemann Hypothesis yields the critical-strip zero-free bridge.
background
The StripZeroFreeRegion module addresses Phase 5 of the RS-native zeta program. It records the proven zero-free results on the line and half-plane $Re(s) ≥ 1$ while naming the remaining strip theorem required for RH-quality closure, without asserting that the full strip theorem has been proved. Instead the module packages the missing piece as a bridge object together with a theorem showing that existence of the bridge yields the corresponding zero-free conclusion.
proof idea
StripPhase7Cert is introduced as a direct structure definition. Its four fields are populated by direct reference to the upstream BoundaryZeroFreeCert, by setting the two bridge indicators to the trivial proposition True, and by including the conditional implication from the Riemann Hypothesis to CriticalStripZeroFreeBridge.
why it matters
StripPhase7Cert serves as the Phase 7 certificate in the Recognition Science zeta program and is used directly by the downstream stripPhase7Cert construction. It marks the boundary region as proved while identifying the critical-strip bridge as the remaining target whose existence is implied by the Riemann Hypothesis, thereby closing the current phase by distinguishing proved results from named open bridges.
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