feat: freeEnergy jointly Continuous + Differentiable in (β, J, h) (§18.6, Issue #1499) - #1533
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…8.6, Issue #1499) Empty start. Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
…8.6, Issue #1499) Add four direct corollaries of joint analyticity (PRs #1531, #1532): - `partitionFunction_continuous_joint`: Z is Continuous in (β, J, h). - `partitionFunction_differentiable_joint`: Z is Differentiable ℝ in (β, J, h). - `freeEnergy_continuous_joint`: f is Continuous in (β, J, h). - `freeEnergy_differentiable_joint`: f is Differentiable ℝ in (β, J, h). All follow from `AnalyticAt → ContinuousAt → Continuous` and `AnalyticAt → DifferentiableAt → Differentiable`, applied pointwise. Completes the regularity hierarchy for the §18.6 capstone in joint form: Continuous ⊆ Differentiable ⊆ AnalyticAt (per-point) ⊆ AnalyticOnNhd ℝ _ Set.univ (global). Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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…#1499) Add new file `IsingModel/AmbientLattice/Analyticity.lean` lifting the joint (β, J, h) analyticity (PRs #1531-#1533) to finite-volume Λ-restricted versions: - `partitionFunctionΛ_analyticAt_joint` and `_analyticOnNhd_joint` - `freeEnergyΛ_analyticAt_joint` and `_analyticOnNhd_joint` - `freeEnergyΛ_continuous_joint` and `_differentiable_joint` Each is a thin wrapper around the corresponding theorem on `inducedGraph G Λ`. Placed in a separate file rather than in AmbientLattice/Defs.lean to avoid forcing the heavy `IsingModel.ClusterExpansion` import into the foundational definitions module. Wired into the `IsingModel.AmbientLattice` umbrella import. Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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…1535) * feat: AmbientLattice joint analyticity wrappers (§18.6, Issue #1499) Empty start. New file IsingModel/AmbientLattice/Analyticity.lean. Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com> * feat: AmbientLattice joint analyticity wrappers (§18.6 capstone, Issue #1499) Add new file `IsingModel/AmbientLattice/Analyticity.lean` lifting the joint (β, J, h) analyticity (PRs #1531-#1533) to finite-volume Λ-restricted versions: - `partitionFunctionΛ_analyticAt_joint` and `_analyticOnNhd_joint` - `freeEnergyΛ_analyticAt_joint` and `_analyticOnNhd_joint` - `freeEnergyΛ_continuous_joint` and `_differentiable_joint` Each is a thin wrapper around the corresponding theorem on `inducedGraph G Λ`. Placed in a separate file rather than in AmbientLattice/Defs.lean to avoid forcing the heavy `IsingModel.ClusterExpansion` import into the foundational definitions module. Wired into the `IsingModel.AmbientLattice` umbrella import. Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com> --------- Co-authored-by: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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…along-ex + ℤ^d wraps Lifts eight abstract regularity theorems to the missing along-exhaustion + ℤ^d (Λ + along-ex) layers (Λ-layer wraps already exist via PR #1541, #1533): - `partitionFunction_continuous_beta_general_h` - `partitionFunction_continuous_J_general_h` - `partitionFunction_differentiable_beta_general_h` - `partitionFunction_differentiable_J_general_h` - `partitionFunction_continuous_h` - `partitionFunction_differentiable_h` - `freeEnergy_continuous_joint` - `freeEnergy_differentiable_joint` Bundle contents: 24 new theorems (8 abstracts × 3 missing layers). `docs/index.md` §18.6 row + `tex/proof-guide.tex` updated. `lake build` clean (zero linter warnings); `grep -rn "sorry" IsingModel/` = 0; `lake exe GKSTest` passes. Part of #1344. Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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…along-ex + ℤ^d wraps GJ-命題-bundle (#1611) * wip: §18.6 partitionFunction/freeEnergy continuous/differentiable along-ex + ℤ^d wraps * feat: §18.6 partitionFunction/freeEnergy Continuous + Differentiable along-ex + ℤ^d wraps Lifts eight abstract regularity theorems to the missing along-exhaustion + ℤ^d (Λ + along-ex) layers (Λ-layer wraps already exist via PR #1541, #1533): - `partitionFunction_continuous_beta_general_h` - `partitionFunction_continuous_J_general_h` - `partitionFunction_differentiable_beta_general_h` - `partitionFunction_differentiable_J_general_h` - `partitionFunction_continuous_h` - `partitionFunction_differentiable_h` - `freeEnergy_continuous_joint` - `freeEnergy_differentiable_joint` Bundle contents: 24 new theorems (8 abstracts × 3 missing layers). `docs/index.md` §18.6 row + `tex/proof-guide.tex` updated. `lake build` clean (zero linter warnings); `grep -rn "sorry" IsingModel/` = 0; `lake exe GKSTest` passes. Part of #1344. Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com> --------- Co-authored-by: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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Part of #1499. Corollaries of joint analyticity (PR #1531/#1532).