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Polish - #46

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KellyJDavis merged 8 commits into
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numina/aqft-in-lean
Oct 14, 2026
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KellyJDavis merged 8 commits into
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numina/aqft-in-lean

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KellyJDavis and others added 8 commits October 13, 2026 18:27
- IsVacuumState, IsGroundStateForFlow and
  IsGroundStateForFlow.exists_strongContinuous_unitary take their GNS
  Hilbert space in Type u, the universe of the net (D1).
- isCompact_weakStateSet drops [Nontrivial A]; the trivial case is the
  empty set (D7).
- The blueprint states def:geodesic for spacetimes, matching the Lean (D2).
- Curved Axiom 5: a formalization note and Lean implementation notes
  record that the oriented identity component is the group of isometries
  connected to the identity, with the equality waiting on a
  Myers-Steenrod-type theorem (D3).
- Add the staged fix plan for the 1.0 review.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
- Replace a leaked process comment in OperatorIntegral.lean.
- Move the MinkowskiSpacetime material out of the docstring of
  standardMinkowskiTimeOrientation into MinkowskiSpacetime's own.
- Add docstrings to seven substantive theorems.
- Correct the generality claim in GNS/Basic.lean and the
  "unconditionally for beta > 0" wording in KMS.lean.
- Explain every remaining set_option (all are needed) and the
  nolint on L0; replace one erw with rw and explain the other two.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
- Extract the shared product estimate in OperatorIntegral.lean into
  norm_mul_sub_mul_lt, used by integral_bddMeasurable_mul and
  tendstoUniformly_mul_of_bounded.
- Drop the unused timelike-v hypothesis from
  reverse_cauchy_schwarz_of_lorentzianAt and update its callers; the
  blueprint-named reverse_cauchy_schwarz keeps the blueprint's statement.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
- Formalization notes on the GNS existence proof, prpstn:hall-10.3 and
  prpstn:integral-norm-bound, recording where the Lean route differs.
- \lean{} tags: add isSelfAdjoint_toOperator and integral_one; drop
  the bounded special case exp_generator_unique from
  lmm:exp-generator-unique.
- Narrow lmm:derivative-vanishes-along-path to the derivative claim.
- Trim the proof \uses{} of prpstn:hall-8.4, thrm:hall-8.10 and
  thrm:spectral-theorem-for-bounded-operators to the nodes each proof
  cites.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
- spacetime.tex: Lorentz, proper and orthochronous transformations, the
  inhomogeneous Lorentz group, Lorentz paths and the Lorentz invariance
  of causal precedence and spacelike separation.
- haag-kastler-axioms.tex: weak-to-strong continuity of unitary groups
  and the strongly continuous GNS unitaries of an invariant state;
  stronger Lean forms added to three existing nodes.
- haag-kastler-axioms-in-curved-spacetime.tex: joint satisfiability of
  the curved axioms and local commutativity under inclusion; four
  existing nodes cite their bundled or stronger Lean forms.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
- Home page: the density-theorem entry no longer cites a lemma range;
  list FunctionalCalculus on the 10.3 page.
- Replace hard-coded chapter and section numbers with references.
- Remove a stray asterisk, a contraction, and the unneeded
  non-emptiness hypothesis of the Boundedness Theorem.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
- check_temporal_wording.py flags "no longer", non-positional
  "previously" and history-telling "now" phrases; a temporal-ok marker
  skips a line. Reword the two lines it flags.
- blueprint.yml drops the unused issues and pull-requests permissions.
- Both workflows use actions/checkout@v6 and the same pinned
  lean-action; free-disk-space is pinned to v1.3.2.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
- Renumber every home-page entry from the rebuilt blueprint, add the
  13 Chapter 10 nodes from stage 5, and recompute counts and page
  ranges (675 declarations, 1,188 Lean names, 345 PDF pages).
- Log the build, lint, checkdecls and receipt refresh, and add the
  audit of the plan's changes.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
@KellyJDavis
KellyJDavis merged commit dddd076 into main Oct 14, 2026
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