Paper VINamed Obstructionmath.CT

Yoneda–Blaschke Detector Calculus (Target 2)

Abstract

The Volume V conditional theorem RH_classical_of_no_phantom_language_breakthrough\mathtt{RH\_classical\_of\_no\_phantom\_language\_breakthrough} reduces classical RH to two payload fields: an off-critical defect kernel (Target 1) and a Yoneda/Blaschke detector calculus (Target 2). This paper discharges the assembly step of Target 2: it constructs the Volume VI Lean module Vol6.YonedaBlaschkeDetectorCalculus\mathtt{Vol6.YonedaBlaschkeDetectorCalculus} that consumes the four sub-targets shipped by papers 02 (detector completeness), 04 (rational-dilation externalization), 05A (quotient orthogonality), and 05B (admissibility), and packages them as the canonical inhabitant of BurnolBlaschkeRKHSDetectorSemantics\mathtt{BurnolBlaschkeRKHSDetectorSemantics}.

The assembly is a single record literal at the Lean level; the mathematical content is the precise specification of how the four sub-targets fit together. Because papers 02, 04, 05 have not yet shipped their principal theorems, the unconditional Target 2 theorem is currently gated; the precise barrier is propagated through a paired obstruction module Vol6.Obstruction.YonedaBlaschkeDetectorCalculusObstruction\mathtt{Vol6.Obstruction.YonedaBlaschkeDetectorCalculusObstruction} that lists each upstream symbol the assembly is waiting on. We state and prove the conditional principal theorem yoneda_blaschke_detector_calculus_of_subtargets\mathtt{yoneda\_blaschke\_detector\_calculus\_of\_subtargets} and the no-axiom audit confirms paper 06 introduces no sorry\mathtt{sorry}, admit\mathtt{admit}, new axiom\mathtt{axiom}, or new opaque\mathtt{opaque}.

Artifacts

Lean 4 Module
Vol6.YonedaBlaschkeDetectorCalculus
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Haskell Numeric Artifact
haskell/paper-06-yoneda-blaschke-detector-calculus/Main.hs
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Obstruction Module
Vol6.Obstruction.YonedaBlaschkeDetectorCalculusObstruction
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Status & Obstructions

Named Obstruction Present
Gated on upstream Papers 02, 04, 05 obstructions

The principal theorem is conditional on inhabiting the named obstruction type. The obstruction module precisely characterizes the missing Vol5 introduction rule. No new sorry, admit, axiom, or opaque is introduced in Vol6.