track1ForallDispStationarityHandoffProjectionCount
plain-language theorem explainer
Audit constant fixing the number of direct uniform-stationarity handoff projection accessors at two: one certificate-field projection and one integrated one-statement projection. Gravity Track-1 auditors and the Session 565 handoff ledger cite it. It is a bare natural-number definition, discharged by reflexivity in the companion equality theorem.
Claim. The Session 565 audit count of direct uniform-stationarity handoff projection accessors equals $2$ (one certificate-field projection and one integrated one-statement projection).
background
The ambient module is the Gravity Track 7 fork-handoff integration lane. It records receipts for parallel forks (Track 1.B stationarity reduction at $N=5$, physical residual/Bianchi, many-body amplitude lift, Page-capacity transfer, dark-energy $w(z)$ bands, and falsifier-sensitivity packaging) without upgrading the discovery claim. Remaining Track 1 displacement-class leaves stay as open dependencies.
Uniform stationarity handoffs are the accessors that project certificate fields and integrated one-statement claims for the forall-displacement stationarity reduction path. This constant is the Session 565 ledger entry that freezes how many such projection accessors the audit expects.
proof idea
Definitional assignment: the natural number is set equal to $2$. No tactics or lemmas. The companion theorem proves the equality by rfl.
why it matters
Keeps the Track 7 handoff integration ledger honest: the count of direct uniform-stationarity projection accessors is pinned before any claim that those accessors cover the stationarity reduction. Downstream, track1ForallDispStationarityHandoffProjectionCount_eq_two locks the value by reflexivity, so later receipts can quote a named constant rather than a magic numeral. It does not close displacement-class leaves; it only audits the projection surface of the stationarity handoff fork.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.