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Q2Presentation.Induction.CandidateRoute147PointwiseClosers

Candidate Route147 pointwise closers #

Route147's integrated candidate side currently consumes CandidateRoute146Closers, whose remaining Section 8 assumptions are seven pointwise scalar/Frattini atoms. This sidecar does not edit that integrated route. It exposes a same-call-shape replacement provider whose proof bypasses those seven pointwise atoms:

The resulting closure is strictly lower than the Route147 pointwise frontier: the final provider depends only on the two semantic Section 8 leaves centralCover_candidateObstructionMapData and centralCover_candidateFrattiniExactImageCardinalityData, plus Lean standard axioms.

Scalar pointwise values from the middle R-obstruction #

Pointwise additivity for the selected Route147 scalar family. This closes the pointwise additivity shape after replacing the arbitrary family by the family induced by the semantic obstruction map.

Equations
Instances For

    The nonzero scalar value packet assembled from theorem-level pointwise values induced by the same lower obstruction map.

    Selected pointwise additivity: the arbitrary-family Route147 additivity atom is strictly lowered to the family induced by the semantic obstruction map.

    Frattini pointwise data from the affine-fibre partition #

    Selected pointwise Frattini fibre-coordinate data. The original Route147 atom is over an arbitrary base-coordinate map; here it is lowered to the base coordinate induced by the semantic Frattini partition.

    Route147 Frattini coordinate system for a supplied middle obstruction, assembled from the lower affine-fibre exact-image partition.

    Route147 pointwise reassembly #

    Coherent Route147 packet: selected scalar data and selected Frattini coordinate data attached to the same lower middle obstruction map.

    Instances For

      Direct exact-image residual data with the Route147 pointwise atoms lowered through semantic obstruction and Frattini partition packets.

      Drop-in Route147 candidate lift-partition provider.

      This has the same B T Q call shape as centralCover_candidateLiftPartitionData_from_candidateRoute146Closers.