Route142 Section 7 pushout/determinant lowering

This sidecar is a Route141-compatible pushout replacement. Route141 currently routes the minimal-block determinant line through Section7PushoutRoute138Closers, whose closure still exposes the seven split central-pushout atoms

• minimalBlock_preheadCentralPushoutQuadraticFamilyData,
• minimalBlock_preheadCentralPushoutSquareDiagonalData,
• minimalBlock_preheadCentralPushoutPolarSymmData,
• minimalBlock_preheadCentralPushoutNaturalitySemanticData,
• minimalBlock_preheadCentralPushoutDiagonalZeroSemanticData,
• minimalBlock_preheadCentralPushoutPolarZeroSemanticData, and
• minimalBlock_preheadCentralPushoutRadicalContainmentSemanticData.

The project already contains MinimalBlockPushoutRoute88Closers, whose packet is exactly the manuscript-shaped replacement for those seven split atoms: one actual scalar central pushout and one actual simple-head determinant theorem for that same semantic family. This file exposes that provider under a Section 7 Route142 name and leaves all public routed files untouched.

Explicit selected packet

theorem Q2Presentation.Induction.Section7PushoutRoute142Closers.minimalBlock_preheadPushoutRoute88Data_from_section7PushoutRoute142Closers {p : FramedPair} {chief : NonScalarChiefFactor p} (D : MinimalBlockPreheadTowerData p chief) : Nonempty (MinimalBlockPushoutRoute88Closers.MinimalBlockPreheadPushoutRoute88Data D)

Route142 selected actual-pushout / actual-determinant packet.

Axiom-closure effect relative to the Route141 pushout frontier: the seven split pushout atoms are replaced by the two coherent same-family atoms minimalBlock_preheadActualScalarCentralPushoutData and minimalBlock_preheadCentralPushoutSimpleHeadDeterminantActualData.

theorem Q2Presentation.Induction.Section7PushoutRoute142Closers.minimalBlock_preheadCentralPushoutRoute141SplitPackets_from_section7PushoutRoute142Closers {p : FramedPair} {chief : NonScalarChiefFactor p} (D : MinimalBlockPreheadTowerData p chief) : ∃ (P : MinimalBlockPushoutRoute88Closers.MinimalBlockPreheadPushoutRoute88Data D), Nonempty (MinimalBlockPreheadCentralPushoutQuadraticFamilyData D) ∧ Nonempty (MinimalBlockPreheadCentralPushoutSquareDiagonalData P.quadraticFamily) ∧ Nonempty (MinimalBlockPreheadCentralPushoutPolarSymmData P.quadraticFamily) ∧ Nonempty (MinimalBlockPreheadCentralPushoutNaturalitySemanticData P.semantic) ∧ Nonempty (MinimalBlockPreheadCentralPushoutDiagonalZeroSemanticData P.semantic) ∧ Nonempty (MinimalBlockPreheadCentralPushoutPolarZeroSemanticData P.semantic) ∧ Nonempty (MinimalBlockPreheadCentralPushoutRadicalContainmentSemanticData P.semantic)

Audit-facing projection of the selected Route142 packet to the seven old split surfaces. The theorem itself does not call the seven old split atoms; it projects them from the selected actual scalar pushout and actual determinant packet.

theorem Q2Presentation.Induction.Section7PushoutRoute142Closers.minimalBlock_preheadPushoutRoute83Data_from_section7PushoutRoute142Closers {p : FramedPair} {chief : NonScalarChiefFactor p} (D : MinimalBlockPreheadTowerData p chief) : Nonempty (MinimalBlockPushoutRoute83Closers.MinimalBlockPreheadPushoutRoute83Data D)

Route142 projection to the Route83 packet shape.

theorem Q2Presentation.Induction.Section7PushoutRoute142Closers.minimalBlock_preheadPushoutRoute82Data_from_section7PushoutRoute142Closers {p : FramedPair} {chief : NonScalarChiefFactor p} (D : MinimalBlockPreheadTowerData p chief) : Nonempty (MinimalBlockPushoutRoute82Closers.MinimalBlockPreheadPushoutRoute82Data D)

Route142 projection to the Route82 packet shape.

theorem Q2Presentation.Induction.Section7PushoutRoute142Closers.minimalBlock_preheadPushoutRouteLowerData_from_section7PushoutRoute142Closers {p : FramedPair} {chief : NonScalarChiefFactor p} (D : MinimalBlockPreheadTowerData p chief) : Nonempty (MinimalBlockPreheadPushoutRouteLowerData D)

Route142 lower pushout packet.

theorem Q2Presentation.Induction.Section7PushoutRoute142Closers.minimalBlock_preheadDeterminantPackets_from_section7PushoutRoute142Closers {p : FramedPair} {chief : NonScalarChiefFactor p} (D : MinimalBlockPreheadTowerData p chief) : ∃ (F : MinimalBlockPreheadExtraspecialEquivariantFamilyData D), Nonempty (MinimalBlockPreheadExtraspecialAnnihilationData F) ∧ Nonempty (MinimalBlockPreheadExtraspecialRadicalData F)

Drop-in determinant-packet provider for the Route141/Route142 branch.

This has the same consumer shape as Section7PushoutRoute138Closers.minimalBlock_preheadDeterminantPackets_from_section7PushoutRoute138Closers, but it routes through Route88's actual-pushout / actual-determinant packet.