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def

Track1MixedAxisExplicitFiberAxisStencilTargetEndpoint

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

Names the Track-1 handoff proposition that the corrected mixed axis-stencil target holds at lattice size N=5 via the explicit-fiber coefficient table. Gravity Track-7 integration cites it as a Fork-A style endpoint receipt. The body is a pure alias of the canonical N=5 packaging proposition.

Claim. The Track-1 mixed-axis explicit-fiber axis-stencil endpoint is the proposition that the corrected mixed axis-stencil target holds at $N=5$, packaged as the global explicit-fiber coefficient-table target specialized to parameters $(5,5,5)$.

background

This module is the Track-7 integration-lane receipt for parallel fork handoffs in the gravity master-theorem stack. It records what each fork endpoint proves without upgrading the discovery claim, and keeps remaining Track-1 displacement-class leaves as open dependencies.

The aliased content is the global explicit-fiber coefficient-table target whose closure proves the corrected mixed axis-stencil target at $N=5$. Upstream packaging fixes the three size parameters to $5$ with decidable side conditions, so the endpoint is the concrete $N=5$ instance rather than a schematic family.

In the local fork taxonomy this sits with Track-1.B stationarity-reduction material (Fork A style), distinct from physical residual/Bianchi (Fork B), many-body amplitude-linear lift (Fork C), Page-capacity transfer (Fork D), dark-energy $w(z)$ bands (Fork E), and falsifier-sensitivity packaging (Fork F).

proof idea

Definitional one-line alias: the endpoint proposition is definitionally equal to CanonicalPeriodicMixedHingeDeficitExplicitFiberAxisStencilTargetAtN5, the $N=5$ packaging of the corrected mixed axis-stencil explicit-fiber target. No extra proof obligations are introduced at this layer; discharge is deferred to the theorem that asserts nonemptiness/holding of this Prop.

why it matters

Track 7 needs stable named endpoints so the fork integration certificate can list exactly which handoffs landed. This definition is the Prop component for the Session-230 explicit-fiber axis-stencil closure at $N=5$, consumed by the holding theorem and by ForkHandoffIntegrationCert.

Downstream framing is explicit: the structural master theorem still uses structural witnesses where the plan requires them; Track-1 material here is a reduction/interface package, not a closure of the open Schläfli leaves. The endpoint therefore strengthens the handoff ledger without claiming full Track-1 discovery closure.

Within RS gravity, axis-stencil and mixed-hinge deficit bookkeeping feed discrete curvature/stationarity reductions that sit under the broader master-theorem program; this receipt keeps that dependency graph auditable at the $N=5$ working scale.

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