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

二重否定の除去の二重否定

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Description

タグ:命題論理、二重否定、直観主義、証明例

/-- 二重否定の除去の二重否定 -/
example (P : Prop) : ¬¬ (¬¬ P → P) := by
  intro h

  have : ¬ P := by
    intro hp
    suffices ¬¬P → P from by
      contradiction
    intro _
    assumption

  apply h
  intro hn2p
  contradiction

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Research direction

The issue provides only a Lean proof example and does not name a target file, test, or requested change. Start by locating where related proposition-logic examples are stored; the issue needs a defined placement and acceptance criterion before a newcomer can tell when the work is done.

Written by the indexing model from the issue text.

Assessment

Domain
documentation
Issue type
Documentation
Difficulty
4/5
Estimated time
3-5 days
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
20/100

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