Route194 actual scalar pushout closer

Route192 currently exposes the compact square/polar packet

• minimalBlock_preheadCentralPushoutSquarePolarData

beside the actual simple-head determinant packet. This sidecar keeps the same downstream determinant-packet consumer shape, but replaces the compact square/polar residual by the more concrete actual scalar central-pushout packet

• minimalBlock_preheadActualScalarCentralPushoutData.

The old square/polar packet is recovered theorem-level from the actual scalar pushout by MinimalBlockPreheadCentralPushoutSquarePolarData.ofActualScalar. The simple-head determinant packet remains the Route192 determinant leaf, now indexed by the semantic family selected by the same actual scalar pushout.

Route194 actual scalar provider

theorem Q2Presentation.Induction.MinimalBlockPushoutRoute194ActualClosers.minimalBlock_preheadActualScalarCentralPushoutData_from_route194ActualClosers {p : FramedPair} {chief : NonScalarChiefFactor p} (D : MinimalBlockPreheadTowerData p chief) : Nonempty (MinimalBlockPreheadActualScalarCentralPushoutData D)

The Route194 replacement for the compact Route192 square/polar leaf.

theorem Q2Presentation.Induction.MinimalBlockPushoutRoute194ActualClosers.minimalBlock_preheadRoute192PushoutAtoms_from_route194ActualClosers {p : FramedPair} {chief : NonScalarChiefFactor p} (D : MinimalBlockPreheadTowerData p chief) : ∃ (A : MinimalBlockPreheadActualScalarCentralPushoutData D), Nonempty (MinimalBlockPreheadCentralPushoutSquarePolarData D) ∧ Nonempty (MinimalBlockPreheadCentralPushoutSimpleHeadDeterminantActualData A.toSemanticData)

Audit-facing reconstruction of the Route192 pushout leaves from the Route194 actual scalar packet and the remaining simple-head determinant packet.

The square/polar conclusion is theorem-level; the axiom closure uses minimalBlock_preheadActualScalarCentralPushoutData, not minimalBlock_preheadCentralPushoutSquarePolarData.

theorem Q2Presentation.Induction.MinimalBlockPushoutRoute194ActualClosers.minimalBlock_preheadPushoutRouteLowerData_from_route194ActualClosers {p : FramedPair} {chief : NonScalarChiefFactor p} (D : MinimalBlockPreheadTowerData p chief) : Nonempty (MinimalBlockPreheadPushoutRouteLowerData D)

Route194 lower pushout packet through the actual scalar central-pushout atom and the same-family actual simple-head determinant atom.

theorem Q2Presentation.Induction.MinimalBlockPushoutRoute194ActualClosers.minimalBlock_preheadDeterminantPackets_from_route194ActualClosers {p : FramedPair} {chief : NonScalarChiefFactor p} (D : MinimalBlockPreheadTowerData p chief) : ∃ (F : MinimalBlockPreheadExtraspecialEquivariantFamilyData D), Nonempty (MinimalBlockPreheadExtraspecialAnnihilationData F) ∧ Nonempty (MinimalBlockPreheadExtraspecialRadicalData F)

Drop-in determinant provider for the Route192 nonterminal branch.

Compared with Route192's current Route175 provider, this removes minimalBlock_preheadCentralPushoutSquarePolarData and adds the more concrete actual scalar central-pushout residual.