lean-ja / lean-ja/lean-by-example

`bound` タクティクを紹介する

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タクティク
Dominant language
Lean
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Description

不等式評価に特化した aesop のラッパーである。

-- ただしこれは positivity でも示すことができる
theorem extracted_1 {a b c : ℝ} (apos : a > 0) (bpos : b > 0) (cpos : c > 0) : 0 ≤ a⁻¹ * b⁻¹ * c⁻¹ := by
  fail_if_success linarith
  fail_if_success nlinarith
  fail_if_success gcongr
  bound

-- これは nlinarith でも示すことができる
example {a b c : ℝ} (cpos : 0 ≤ c) (hba : b ≤ a) : 0 ≤ a * c - b * c := by
  fail_if_success linarith
  fail_if_success positivity
  fail_if_success gcongr
  bound

Contributor guide

Open the contributing guide

First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

No file or test is named in the issue. Start by locating the repository's existing tactic examples and reviewing how similar entries are structured; done means adding a clear introduction to bound with the supplied examples and preserving the surrounding documentation style.

Written by the indexing model from the issue text.

Assessment

Domain
documentation
Issue type
Documentation
Difficulty
3/5
Estimated time
1-2 days
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
45/100

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