track1TotalSymmetryStationarityReductionEndpointProjectionCount
plain-language theorem explainer
Natural-number audit constant fixed at 1 for the total-plus-symmetry Track 7 stationarity-reduction endpoint (Session 568). Gravity integrators cite it when tallying closed N=5 weighted-deficit projections. The body is the literal numeral, so the companion equality is reflexivity.
Claim. The projection count attached to the total-plus-symmetry stationarity-reduction endpoint equals the natural number $1$.
background
The ambient module is the Track 7 fork-handoff integration lane for gravity. It records parallel receipts (Fork A: Track 1.B 1B-SCH stationarity reduction at $N=5$; Fork B: physical residual and Bianchi; Fork C: many-body amplitude-linear lift; and further dark-energy, Page-capacity, and falsifier-sensitivity forks) without upgrading the discovery claim.
Sibling endpoints package Schläfli, displacement-class, and seven-stationarity reductions. The present constant is the Session 568 audit tally for the total-plus-symmetry stationarity leaf: how many canonical projections that leaf contributes to the handoff ledger.
Downstream, the equality theorem states that total stationarity plus displacement symmetry closes the canonical $N=5$ weighted-deficit stationarity target directly.
proof idea
Definitional assignment: the constant is introduced as the natural number literal $1$. No lemmas or tactics are involved. The companion theorem proves equality to $1$ by rfl.
why it matters
Gives the handoff ledger a fixed projection count for the total-plus-symmetry Track 7 endpoint so Session 572 can certify closure of the canonical $N=5$ weighted-deficit stationarity target. Parent use is the reflexivity theorem track1TotalSymmetryStationarityReductionEndpointProjectionCount_eq_one, whose doc-comment records that total stationarity plus displacement symmetry closes that target directly.
Fits the module's role: record exactly what new endpoints prove and leave remaining Track 1 displacement-class leaves as the next dependency. It does not itself invoke the Recognition Composition Law, $\phi$-ladder masses, or T0–T8 forcing; it is bookkeeping inside the gravity master-theorem integration path.
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