Candidate Route126 closers

Route126 currently consumes centralCover_candidateLiftPartitionData_from_route124ExactImageClosers, whose candidate-side closure has the two current Section 8 semantic leaves:

• centralCover_candidateMiddleScalarObstructionEvaluatorData;
• centralCover_candidateFrattiniAffineFiberCoordinateData.

This sidecar keeps the same downstream consumer shape

B ->
CentralCoverTargetCanonicalQuotientTowerData B ->
CentralCoverCandidateQuotientFrameMapData B D.tower ->
Nonempty (CentralCoverCandidateLiftPartitionData B)

but routes through the already verified Route115 semantic lowering. The two current semantic leaves are replaced by the smaller scalar/Fourier and Frattini-coordinate packets:

• centralCover_candidateMiddleScalarPushoutValueData;
• centralCover_candidateMiddleScalarPushoutLinearityData;
• centralCover_candidateFrattiniLiftCoordinateData;
• centralCover_candidateFrattiniRealizationData;
• centralCover_candidateFrattiniCoordinateInverseData.

No theorem below calls either current semantic residual axiom directly.

Route126 replacements for the current candidate semantic leaves

theorem Q2Presentation.Induction.centralCover_candidateMiddleScalarObstructionEvaluatorData_from_candidateRoute126Closers {p : FramedPair} (B : MinimalBlock p) (T : CentralCoverElementaryQuotientTowerData B) : Nonempty (CentralCoverCandidateMiddleScalarObstructionEvaluatorData B T)

Route126 replacement for centralCover_candidateMiddleScalarObstructionEvaluatorData, lowered to scalar pushout values plus linearity in lambda : X_R.

theorem Q2Presentation.Induction.centralCover_candidateFrattiniAffineFiberCoordinateData_from_candidateRoute126Closers {p : FramedPair} (B : MinimalBlock p) (T : CentralCoverElementaryQuotientTowerData B) (D : CentralCoverCandidateMiddleRLiftObstructionMapData B T) : Nonempty (CentralCoverCandidateFrattiniAffineFiberCoordinateData B T D)

Route126 replacement for centralCover_candidateFrattiniAffineFiberCoordinateData, lowered to Frattini coordinate, realization, and inverse-law packets.

Route-ready provider

theorem Q2Presentation.Induction.centralCover_candidateLiftPartitionData_from_candidateRoute126Closers {p : FramedPair} (B : MinimalBlock p) (D : CentralCoverTargetCanonicalQuotientTowerData B) (Q : CentralCoverCandidateQuotientFrameMapData B D.tower) : Nonempty (CentralCoverCandidateLiftPartitionData B)

Route-ready Route126 candidate provider.

This is a drop-in replacement for centralCover_candidateLiftPartitionData_from_route124ExactImageClosers, with the same downstream consumer shape and a strictly lower candidate closure.

theorem Q2Presentation.Induction.centralCover_candidateLiftPartitionData_candidateRoute126Audit {p : FramedPair} (B : MinimalBlock p) (D : CentralCoverTargetCanonicalQuotientTowerData B) (Q : CentralCoverCandidateQuotientFrameMapData B D.tower) : Nonempty ((V : CentralCoverCandidateMiddleScalarPushoutValueData B D.tower) × (_ : CentralCoverCandidateMiddleScalarPushoutLinearityData V) × (O : CentralCoverCandidateMiddleRLiftObstructionMapData B D.tower) × (C : CentralCoverCandidateFrattiniLiftCoordinateData B D.tower O) × (R : CentralCoverCandidateFrattiniRealizationData B D.tower O) × CentralCoverCandidateFrattiniCoordinateInverseData C R × CentralCoverCandidateLiftPartitionData B)

Audit surface exposing the lower scalar/Fourier and Frattini-coordinate packets used by the Route126 candidate provider.