Integrated current route, one-hundred-thirty-fifth worker-combined audit route #
This is a non-public attack route. It composes the two verified Route133 worker sidecars:
- Section 8 candidate/target lowering from
CandidateTargetRoute133Closers; - Section 7 kernel/pushout lowering from
Section7Route133Closers.
PresentationCorrect is deliberately left on the compact public Route130 route
until this route is useful enough to promote.
theorem
Q2Presentation.Induction.boundaryFramed_recursive_branch_from_fourier_currentIntegrated135WorkerCombined
(p : FramedPair)
(h : ¬ScalarTerminal p)
:
∃ (children : List FramedPair) (combine : List Cardinal.{0} → Cardinal.{0}),
(∀ c ∈ children, framedMeasure c < framedMeasure p) ∧ framedCountA p = combine (List.map framedCountA children) ∧ framedCountQ p = combine (List.map framedCountQ children)
theorem
Q2Presentation.Induction.boundaryFramed_recursion_step_currentIntegrated135WorkerCombined
(p : FramedPair)
:
framedCountA p = framedCountQ p ∨ ∃ (children : List FramedPair) (combine : List Cardinal.{0} → Cardinal.{0}),
(∀ c ∈ children, framedMeasure c < framedMeasure p) ∧ framedCountA p = combine (List.map framedCountA children) ∧ framedCountQ p = combine (List.map framedCountQ children)
theorem
Q2Presentation.Induction.finite_surjection_counts_equal_currentIntegrated135WorkerCombined
(G : Type)
[Group G]
[Finite G]
[Nonempty G]
: