PRCPrimeCalibrationPropagationSharpenedTarget
plain-language theorem explainer
Conjunction target bundling sharpened prime-floor successor transport with coherent-to-global orientation propagation. Native-cost uniqueness work cites it as the Pass-27 refinement of prime calibration propagation. Defined as a plain Prop conjunction; no proof content.
Claim. The sharpened prime-calibration propagation target is the conjunction of (i) the sharpened prime-floor successor-transport target (local nonunit orbit-product orientation together with no adjacent mixed orientation on the prime floor) and (ii) the coherent-prime-orientation global-propagation target: every ratio character with coherent prime orientation has global cost orientation.
background
In the Primitive Recognition Calculus, native cost uniqueness is pursued by forcing a multiplicative ratio character $\chi$ on ratio orbits to match the native $J$-cost orientation everywhere. Prime calibration supplies local orientation data on prime-floor directions; the remaining work is to transport that data across successor steps and then to every ratio direction.
The first conjunct is the Pass-39 split of successor transport: local nonunit orientation of orbit products is separated from the no-adjacent-mixed-orientation constraint, rather than bundled as a single successor fact. The second conjunct is the sharper orientation blocker B: once prime orientation is coherent for a ratio character, the multiplicative character law and native rational factorization must force global cost orientation on every ratio direction.
The module tracks these as exact Lean Prop targets so that uniqueness certificates can name missing mathematics without hiding it inside a single opaque goal.
proof idea
Definitional abbreviation only: the target is the conjunction of the two named upstream targets. No tactics, no lemmas applied at this site. Downstream, the implication from this sharpened target to the coarser prime-calibration propagation target is a short composition of orientation-forcing maps; a separate theorem then refutes the coarser target and therefore refutes this conjunction.
why it matters
Pass-27 refinement of prime propagation inside the native-cost uniqueness ledger. It feeds the blocker certificate that records which uniqueness routes remain open and which are closed by exact refutation. Downstream, PRCPrimeCalibrationPropagationTarget_of_sharpened_orientation shows the sharpened conjunction implies the coarser propagation target; that coarser target is already refuted, so the sharpened target is refuted as well. The universal-foundation open-target ledger carries the related zero-calibrated uniqueness refutations and positive factorization interfaces. In the broader RS forcing picture this sits under native $J$-cost uniqueness (the T5 lineage), not under the geometric T7/T8 steps: it is bookkeeping for which prime-orientation routes can force a unique native cost character.
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