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theorem

track1_mixed_axis_explicit_fiber_axis_stencil_target_endpoint_holds

proved
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module
IndisputableMonolith.Gravity.MasterTheoremHandoffIntegration
domain
Gravity
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plain-language theorem explainer

The corrected mixed-axis hinge-deficit target with explicit fiber axis-stencil coefficients holds at lattice size N=5. Track 7 fork-handoff integration cites this as the Session 230 receipt for that leaf. The proof is a one-line term wrapper of the Freudenthal coefficient-soundness theorem that already closed the target.

Claim. The corrected mixed-axis periodic hinge-deficit target, with explicit fiber axis-stencil coefficients, is attained at lattice size $N=5$.

background

Track 7 is the Gravity fork-handoff integration lane. It does not raise the discovery claim; it records which parallel endpoints are closed and which Track 1 displacement-class leaves remain open. Among those endpoints is the Session 230 mixed-axis explicit-fiber axis-stencil target at $N=5$.

The local proposition is definitionally the canonical periodic mixed hinge-deficit target with explicit fiber axis-stencil data at $N=5$. Upstream, that target is obtained from a finite coefficient certificate plus a real/coefficient soundness bridge in the Freudenthal axis-stencil coefficient module. Ledger-closure predicates on glued plaquettes and local faces (even-parity zero-sum loops) sit in the holographic substrate those stencils act on, but are not re-proved here.

proof idea

One-line term wrapper. The endpoint proposition is definitionally identical to the canonical mixed hinge-deficit explicit-fiber axis-stencil target at $N=5$, so the proof is just the already-proved theorem that closes that target via coefficient soundness at $N=5$. No new algebra is done in this file.

why it matters

This declaration is the Track 7 receipt for the Session 230 corrected mixed-axis explicit-fiber stencil leaf. It is wired into the fork handoff integration certificate alongside the Schläfli reduction, displacement-class reductions, many-body amplitude-linear lift, and other parallel endpoints. Without it, the integration certificate cannot assert that the explicit-fiber axis-stencil target at $N=5$ is closed. It does not finish the remaining Track 1 displacement-class leaves; those stay as the next dependency called out by the module doc.

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