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

with_unfolding_all と [reducible] 属性を付与するのは違う

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Description

def NaturalNumber := Nat

-- エラー
#check (by with_unfolding_all infer_instance : Repr NaturalNumber)

attribute [reducible] NaturalNumber

-- エラーにならない
#check (by infer_instance : Repr NaturalNumber)

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

Start by reproducing the two #check examples from the issue in a Lean environment and compare instance synthesis with and without the [reducible] attribute. Trace how with_unfolding_all and reducibility affect the examples, then document the distinction and why the results differ.

Written by the indexing model from the issue text.

Assessment

Domain
compilers
Issue type
Documentation
Difficulty
4/5
Estimated time
3-5 days
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
25/100

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