track1TotalSymmetryStationarityReductionHandoffProjectionCount_eq_two
plain-language theorem explainer
The Session 574 audit count of direct total-plus-symmetry stationarity handoff accessors equals two: one certificate-field projection and one integrated one-statement projection. Gravity Track 7 integration receipts cite this as a fixed bookkeeping identity. The proof is reflexivity on the defined natural-number constant.
Claim. The natural-number audit count of direct total-plus-symmetry stationarity-reduction handoff projections equals $2$ (one certificate-field projection and one integrated one-statement projection).
background
This module is the Gravity Track 7 integration-lane receipt for parallel fork handoffs (Fork A: Track 1.B stationarity reduction at $N=5$; Fork B: physical residual and Bianchi interface; and further tracks). It records what the new endpoints prove without upgrading the discovery claim, and leaves remaining Track 1 displacement-class leaves as the next dependency.
The named count is a Session 574 audit constant for the direct total-plus-symmetry stationarity handoff accessors. By its documentation it tallies exactly two projections: a certificate field projection and an integrated one-statement projection. Sibling endpoints in the same module package Schläfli, displacement-class, and seven-stationarity reduction holds in the same handoff style.
proof idea
Term-mode one-liner: rfl. The left-hand side is a defined natural-number constant whose body is literally 2, so definitional equality closes the goal with no lemmas or rewriting.
why it matters
In the Recognition Science gravity stack this is pure integration bookkeeping, not a dynamical claim. Track 7's role is to freeze what the fork handoffs expose so downstream audits can cite a fixed projection tally rather than re-inspect accessors. It sits beside the Track 1 Schläfli, displacement-stationary, and seven-stationarity endpoint holds, and beside Track 2 many-body and Track 6 falsifier-sensitivity packaging. No parent theorem currently depends on it (used_by is empty); its value is the Session 574 audit pin that the total-plus-symmetry stationarity handoff surface has exactly two projection routes. It does not touch T5–T8 forcing, the RCL, or the mass ladder.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.