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chore(ModularForms): adopt Suggested.lean naming (repo convention, #55)
Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
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TauCetiRoadmap/ModularForms/README.md

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@@ -28,7 +28,7 @@ Suggested home: `TauCeti/NumberTheory/ModularForms/`.
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A large, `sorry`-free body of this theory already exists in the AINTLIB `LeanModularForms`
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project (~260 source files). This roadmap specifies the **mathematics**; the file-by-file
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migration map is in the secondary *Provenance* section and in `Targets.lean`. Porting it into
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migration map is in the secondary *Provenance* section and in `Suggested.lean`. Porting it into
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`TauCeti/` is the opportunity to restate everything in Mathlib's vocabulary and to **clean up**
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the project's own audits estimate that the newform and eigenform/SMO subtrees alone carry
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~30–36% redundancy (parallel `ModularForm`/`CuspForm` chains, dead scaffolding, near-duplicate
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The ordering is the dependency order; independent lanes (e.g. L-functions vs. the modular curve)
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can proceed in parallel once their inputs exist. As each layer makes the next layer's *types*
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expressible in `TauCeti/`, its milestones go into `Targets.lean` (with `sorry`). Embedded Lean
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expressible in `TauCeti/`, its milestones go into `Suggested.lean` (with `sorry`). Embedded Lean
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below sketches signatures; it is illustrative, not required to compile.
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### Layer 0: modular forms with character (nebentypus)
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(`dim M_0 = 1`, `dim S_0 = 0`, both `0` for `k < 0`); the **odd-`k`** formulas (D–S §3.6) split
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the cusps into regular and irregular and drop the `ε₂` term. `dim S_2(Γ) = g` is the statement
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that weight-two cusp forms are the holomorphic differentials on `X(Γ)`.
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- `Targets.lean` seeds this layer with concrete instances at levels `> 1`: `dim S_2(Γ₀(11)) = 1`,
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- `Suggested.lean` seeds this layer with concrete instances at levels `> 1`: `dim S_2(Γ₀(11)) = 1`,
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`dim S_2(Γ₀(23)) = 2`, `dim S_2(Γ₀(2)) = 0`, `dim M_2(Γ₀(11)) = 2`. The general even-weight
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formula above is the layer's headline target; it is stated here in the README (it needs the
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`ε₂, ε₃, ε∞, g` of `X(Γ)` from this same layer, so it is grounded), and is **not** seeded as a
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free-parameter `example` in `Targets.lean`, since with `g, ε₂, ε₃, ε∞` as free variables it is
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free-parameter `example` in `Suggested.lean`, since with `g, ε₂, ε₃, ε∞` as free variables it is
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false for the wrong data. We keep only the concrete, verifiable instances and pin the general
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statement in prose.
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