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#test コマンドを紹介する #1222

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Dec 20, 2024
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#test コマンドを紹介する #1222

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12 changes: 12 additions & 0 deletions LeanByExample/Diagnostic/Test.lean
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/- # \#test
`#test` コマンドは、Plausible ライブラリで定義されているもので、与えられた命題が成り立つかどうか、具体例をランダムに生成してチェックすることで検証します。[`plausible`](#{root}/Tactic/Plausible.md) タクティクと同様の機能を持ちます。
-/
import Plausible

-- 命題 `P : Prop` に対して、`#test P` で `P` が成り立つかどうかを検証する
#test ∀ (n : Nat), n + 0 = n

-- 反例が見つからなければ「反例が見つからない」と教えてくれる
/-- info: Unable to find a counter-example -/
#guard_msgs in
#test ∀ (n : Nat), n + n = 2 * n
2 changes: 2 additions & 0 deletions LeanByExample/Tactic/Plausible.lean
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Expand Up @@ -27,6 +27,8 @@ warning: declaration uses 'sorry'
example (a : Nat) : a ≠ a → a ≤ 1 := by
plausible

/- 同様の機能を持つコマンドとして [`#test`](#{root}/Diagnostic/Test.md) コマンドがあります。-/

/- ## 引数
引数として、オプションを渡すことができます。

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1 change: 1 addition & 0 deletions booksrc/SUMMARY.md
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Expand Up @@ -20,6 +20,7 @@
- [#print: 中身を見る](./Diagnostic/Print.md)
- [#reduce: 式を簡約する](./Diagnostic/Reduce.md)
- [#synth: 型クラスの検査](./Diagnostic/Synth.md)
- [#test: プロパティベーステスト](./Diagnostic/Test.md)
- [#time: 実行時間計測](./Diagnostic/Time.md)
- [#version: バージョン表示](./Diagnostic/Version.md)
- [#whnf: 式を弱頭正規形に](./Diagnostic/Whnf.md)
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