track1_mixed_axis_explicit_fiber_axis_soundness_endpoint_holds
plain-language theorem explainer
At N=5 the corrected explicit-fiber axis-stencil residual is coefficient-sound: the real residual equals the unordered rational residual expansion. Track 7 (fork handoff integration) cites this as the Session 230 full scalar finite soundness receipt for Track 1.B. The proof is a one-line alias of the combined coefficient-soundness theorem.
Claim. The Track 1.B full scalar finite soundness endpoint holds: coefficient soundness of the corrected explicit-fiber axis-stencil residual is established at $N=5$, so the real explicit-fiber residual coincides with the unordered rational residual expansion.
background
This module is the Gravity Track 7 integration-lane receipt for parallel fork handoffs. It records what each fork endpoint proves without upgrading the discovery claim; remaining Track 1 displacement-class leaves stay open as the next dependency.
The endpoint proposition is definitionally the $N=5$ coefficient-soundness statement for the corrected explicit-fiber axis stencil. Upstream, that statement is the conjunction of mixed-LHS coefficient soundness and axis-stencil coefficient soundness at the same $N$. In the Recognition gravity stack this is the finite scalar check that the residual used on the mixed fiber axis expands as an unordered rational combination of stencil coefficients.
Ledger-closure predicates on plaquettes and glued dominoes appear among the dependency edges as ambient holographic bookkeeping (even-parity zero-sum loops on faces), not as the algebraic content of this particular receipt.
proof idea
One-line term wrapper. The endpoint proposition is definitionally identical to ExplicitFiberAxisStencilCoeffSoundnessAtN5, so the proof is just the already-proved combined theorem explicitFiberAxisStencilCoeffSoundnessAtN5. That upstream result itself is assembled from the mixed-LHS coefficient-soundness piece and the axis-stencil coefficient-soundness piece at $N=5$; no new algebra is done here.
why it matters
Session 230 closed the corrected explicit-fiber axis-stencil target at $N=5$. This declaration packages that closure as the Track 1.B full scalar finite soundness endpoint consumed by Track 7.
Downstream it is wired into forkHandoffIntegrationCert, the integration-lane certificate that aggregates fork receipts (Track 1 stationarity reductions, physical residual/Bianchi interface, many-body amplitude-linear lift, Page-capacity transfer, dark-energy $w(z)$ band, and Track 6 falsifier packaging). Without this endpoint the mixed-axis explicit-fiber soundness slot in the handoff cert would be empty.
It does not finish Track 1: the module explicitly keeps displacement-class leaves as the next dependency. Framework role is bookkeeping of a finite stencil identity inside the gravity master-theorem lane, not a new forcing-chain step (T0–T8).
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