A registered result in its source context
Original ledger classification: Formal [F] (Lean kernel; the 11-internal/1-external audit count + MMST arithmetic kernel-proved axiom-free, the one external fact named)
Recorded statement: LEAN 4 FORMALISATION of the applicability ledger (2026-06-30; the kernel-hardening of v441/SEAM.EQUIV.APPLICABILITY.01) -- new module TfptCarrier/SeamApplicabilityLedger.lean, lake build OK, #print axioms CLEAN. It turns the audit COUNT…
Statement, assumptions and sources
Paper context: tfpt research contracts
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FORM.SEAM.APPLICABILITY.01
Original ledger classification: Formal [F] (Lean kernel; the 11-internal/1-external audit count + MMST arithmetic kernel-proved axiom-free, the one external fact named)
Original claim text
LEAN 4 FORMALISATION of the applicability ledger (2026-06-30; the kernel-hardening of v441/SEAM.EQUIV.APPLICABILITY.01) -- new module TfptCarrier/SeamApplicabilityLedger.lean, lake build OK, #print axioms CLEAN. It turns the audit COUNT into a kernel-checked combinatorial fact: of the 12 cited-theorem hypotheses (MMST/NPW26/Adamo, mirrored from the v441 LEDGER in order), exactly 11 are TFPT-internal and exactly 1 external -- [F] total_count=12, [F] internal_count=11, [F] external_count=1, bundled as audit, ALL with NO axioms (pure kernel decide on a 12-element List of an inductive Src with derived DecidableEq); plus [F] mmst_range (rank<=c<=D reads 8<=8<=16) and [F] npw_outside_bucket (detE8=1 != detAnyon=4), also axiom-free. The single external fact -- the continuum existence of the chiral massless scaling limit -- is the named axiom ContinuumChiralScalingLimit; keystoneReducesToOneFact pins SEAM.EQUIV.01's external dependence to EXACTLY that one fact (+ the cited keystone_from_existence, already pinned in SeamScalingLimit/FORM.SEAM.MMST.01). So the very bookkeeping the reviewer worry is about (11 internal, 1 external) is itself machine-verified; no sorry. Mirrors v441.
Original classification detail
Formal
Dependencies as recorded
SEAM.EQUIV.APPLICABILITY.01; SEAM.EQUIV.01; FORM.SEAM.MMST.01; v441
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- Research contracts
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- Research Contract 1 — [formula in source]tfpt research contracts
- Front matter / supportResearch contracts
- Research Contract 1 — [formula in source]tfpt research contracts
- 2026-06-30 (Lean kernel-hardening of two of the seven SEAM.EQUIV.01 routes — the Borchers/Wiesbrock standard-pair relations and the applicability-ledger count, machine-verified with clean axioms; rigor without new mathematics)Research changelog; TFPT — Introduction and reading guide
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