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

`extract_goal` 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

長い証明の途中で、ゴールを独立した定理に自動的にしてくれるタクティク。Zulip に投稿したいときとかに便利

    -- `x` と `m + n` はともに自然数なので、これは矛盾である。
    have : False := by
      replace left : x + 1 ≤ m + n := by
        norm_cast at left
      replace right : m + n ≤ x := by
        /-
        theorem extracted_1 (x m n : ℕ) (right : ↑m + ↑n < ↑x + 1) (left : x + 1 ≤ m + n) : m + n ≤ x := sorry
        -/
        extract_goal
        norm_cast at right
        omega
      omega
    contradiction

Contributor guide

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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

Start by locating the appropriate Japanese example or tactic-documentation page in the repository; this issue names no file or test. Use the supplied Lean snippet to explain what extract_goal does and when it is useful, then verify that the rendered documentation preserves the example and clearly introduces the tactic.

Written by the indexing model from the issue text.

Assessment

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

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