proof(SafeYAML): DISCHARGE isScalarCorrect via 9-arm case-split (proven#90, #107) - #112
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`isScalar = True` on 7 scalar constructors (YNull, YBool, YInt, YFloat, YString, YBinary, YTimestamp). For those, the goal `not (isCollection val) = True` reduces (via `isCollection = not . isScalar`) to `not (not True) = True` = `Refl`. For the 2 collection constructors (YArray, YObject), `isScalar = False` so the premise `isScalar val = True` is uninhabited (`False = True`), discharged with `impossible`. The OWED comment correctly hinted at the 9-arm case-split discharge — just hadn't been executed. (This is a slightly different shape from the prior "overly cautious OWED" pattern PRs — here the OWED was accurate, the work was just owed.) Refs #90 #107 Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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…ven#90, #107) (#113) Mirror of [#112 SafeYAML](#112) — same case-split shape for TOMLValue's 10 constructors. \`\`\`idris public export isScalarCorrect : (val : TOMLValue) -> isScalar val = True -> not (isTable val || isArray val) = True isScalarCorrect (TString _) _ = Refl isScalarCorrect (TInt _) _ = Refl isScalarCorrect (TFloat _) _ = Refl isScalarCorrect (TBool _) _ = Refl isScalarCorrect (TDateTime _) _ = Refl isScalarCorrect (TDate _) _ = Refl isScalarCorrect (TTime _) _ = Refl isScalarCorrect (TArray _) Refl impossible isScalarCorrect (TInlineTable _) Refl impossible isScalarCorrect (TTable _) Refl impossible \`\`\` 7 scalar arms close by Refl (`not (False || False) = True`). 3 container arms have premise `False = True` (uninhabited). Refs #90 #107 Co-authored-by: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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```idris
public export
isScalarCorrect : (val : YAMLValue) -> isScalar val = True -> not (isCollection val) = True
isScalarCorrect YNull _ = Refl
isScalarCorrect (YBool _) _ = Refl
isScalarCorrect (YInt _) _ = Refl
isScalarCorrect (YFloat _) _ = Refl
isScalarCorrect (YString _) _ = Refl
isScalarCorrect (YArray _) Refl impossible
isScalarCorrect (YObject _) Refl impossible
isScalarCorrect (YBinary _) _ = Refl
isScalarCorrect (YTimestamp _) _ = Refl
```
7 scalar constructors → `Refl` (each reduces `not (not True) = True`).
2 collection constructors (YArray, YObject) → `Refl impossible` (premise `isScalar val = True` reduces to `False = True` which is uninhabited).
This is a slightly different shape from the prior proven#107 PRs — here the OWED comment correctly identified the 9-arm case-split discharge, the work was just OWED to be done.
Refs #90 #107