track1ForallDispStationarityHandoffProjectionCount_eq_two
plain-language theorem explainer
The Track 1 forall-displacement stationarity handoff exposes exactly two projection accessors. Gravity Track 7 auditors cite this as the Session 576 receipt that the total-plus-symmetry reduction surface is two-wide: one certificate-field projection and one integrated one-statement projection. The proof is pure reflexivity against the definitional count.
Claim. The Session 576 audit count of total-plus-symmetry reduction handoff projection accessors for Track 1 forall-displacement stationarity equals $2$ (one certificate-field projection and one integrated one-statement projection).
background
Module Gravity.MasterTheoremHandoffIntegration is the Track 7 integration-lane receipt for parallel fork handoffs (Fork A: Track 1.B 1B-SCH stationarity at $N=5$; Fork B: physical residual/Bianchi; Fork C: many-body amplitude lift; and further forks). It records what the new endpoints prove without upgrading the discovery claim, and keeps remaining Track 1 displacement-class leaves as the next dependency.
The named count is the audit tally of handoff projection accessors on the total-plus-symmetry reduction surface for forall-displacement stationarity. Sibling endpoints in the same module package Schläfli, disp0-base-vertex, disp0-stationary, disp-stationary, and seven-stationarity reductions; this declaration only freezes the width of the projection API for the forall-disp stationarity handoff.
proof idea
One-line term proof by rfl. The left-hand side is the definitional natural-number count of the two handoff projection accessors, so equality to $2$ holds by computation with no lemmas applied.
why it matters
In the Track 7 fork-handoff integration, this is a Session 576 bookkeeping certificate: it pins that the total-plus-symmetry reduction handoff for forall-displacement stationarity exposes exactly two projections (certificate field and integrated one-statement). Downstream used-by edges are empty, so the result is a local audit receipt rather than a lemma consumed by a parent theorem. It does not close any displacement-class leaf; the module doc keeps those leaves as the next dependency. Framework role is administrative integrity of the Gravity master-theorem handoff surface, not a forcing-chain step (T0–T8) or a mass/alpha claim.
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