Route122 minimal-block pushout/determinant closer

The public Route122 branch still consumes the Route106 pushout provider

• MinimalBlockPushoutRoute106Closers.minimalBlock_preheadDeterminantPackets_from_route106,

whose current axiom closure contains the two broad Section 7 leaves

• minimalBlock_preheadActualScalarCentralPushoutData;
• minimalBlock_preheadCentralPushoutSimpleHeadDeterminantActualData.

This sidecar supplies a Route122-named drop-in provider with the same downstream shape, but routes both packets through the already-present coherent final central-pushout construction in MinimalBlockCentralPushoutFinalClosers.

Axiom-closure effect: the two broad public pushout/determinant leaves are replaced by the single same-family manuscript packet

• minimalBlock_preheadActualCentralExtensionPushoutData.

That packet records one actual scalar central-extension family carrying phi_lambda, q_lambda, diagonal/polar identities, naturality, annihilation on T, and polar-radical containment, so the scalar-pushout packet and the simple-head determinant packet are projections of the same construction.

Public Route122 leaf replacement hooks

theorem Q2Presentation.Induction.MinimalBlockPushoutRoute122Closers.minimalBlock_preheadActualScalarCentralPushoutData_from_route122 {p : FramedPair} {chief : NonScalarChiefFactor p} (D : MinimalBlockPreheadTowerData p chief) : Nonempty (MinimalBlockPreheadActualScalarCentralPushoutData D)

Route122 replacement for the broad actual scalar central-pushout packet.

This avoids the old public axiom minimalBlock_preheadActualScalarCentralPushoutData by projecting the actual scalar data from the coherent actual central-extension pushout packet.

theorem Q2Presentation.Induction.MinimalBlockPushoutRoute122Closers.minimalBlock_preheadCentralPushoutSimpleHeadDeterminantActualData_selected_from_route122 {p : FramedPair} {chief : NonScalarChiefFactor p} (D : MinimalBlockPreheadTowerData p chief) : ∃ (S : MinimalBlockPreheadCentralPushoutSemanticData D), Nonempty (MinimalBlockPreheadCentralPushoutSimpleHeadDeterminantActualData S)

Route122 selected simple-head determinant packet.

The current Fourier branch only needs the determinant theorem for the semantic family selected by the same central-pushout construction. This selected form is stronger for routing than an arbitrary detached determinant packet, because it keeps scalar pushout and determinant data tied to the same phi_lambda.

Route-ready provider

theorem Q2Presentation.Induction.MinimalBlockPushoutRoute122Closers.minimalBlock_preheadPushoutRouteLowerData_from_route122 {p : FramedPair} {chief : NonScalarChiefFactor p} (D : MinimalBlockPreheadTowerData p chief) : Nonempty (MinimalBlockPreheadPushoutRouteLowerData D)

Route122 lower pushout packet through one coherent actual central-extension pushout construction.

theorem Q2Presentation.Induction.MinimalBlockPushoutRoute122Closers.minimalBlock_preheadDeterminantPackets_from_route122 {p : FramedPair} {chief : NonScalarChiefFactor p} (D : MinimalBlockPreheadTowerData p chief) : ∃ (F : MinimalBlockPreheadExtraspecialEquivariantFamilyData D), Nonempty (MinimalBlockPreheadExtraspecialAnnihilationData F) ∧ Nonempty (MinimalBlockPreheadExtraspecialRadicalData F)

Drop-in replacement for MinimalBlockPushoutRoute106Closers.minimalBlock_preheadDeterminantPackets_from_route106.

It has the same conclusion consumed by the nonterminal Fourier branch, but its non-local pushout frontier is the single coherent residual minimalBlock_preheadActualCentralExtensionPushoutData rather than the two broad Route122 public leaves.