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Lean

Version#

Test Frameworks#

None

Allowed axioms#

As is usual in mathematical practice, you may freely invoke classical / non-computable principles in your Lean proofs without reservation, e.g. excluded middle, axiom of choice, etc. If constructivism / computability is a major concern then please consider switching to Coq / Idris / Agda instead.

Interactive Proof Editing Support#

Unfortunately, the Codewars environment does not support the interactive development of Lean proofs. The current recommended method of solving a Kata is by copying the relevant code snippets onto your local machine and developing your solution locally.

Setting up your local environment#

Follow the instructions over at leanprover-community to install the complete Lean development environment locally on your machine (if you haven't done so already). Then:

  1. On your command line, run leanproject new kata. This creates a folder kata with the latest Lean community version and the corresponding pre-compiled mathlib

  2. On your command line, run cd kata to enter the kata folder.

  3. In your browser, go to the kata you plan to solve (e.g. Theorem proving hello world), choose Lean as the language you want to train on and click on the "Train" / "Train Again" button to enter the kata trainer.

  4. In your browser, near the top center-right of the trainer, select a language version by clicking on it and make note of it. For example, in Theorem proving hello world, both "3.7.2 ecdb138" and "3.11.0 51e2b4c" are enabled. Ideally, we should select the more recent language version "3.11.0 51e2b4c", but for demonstration purposes here, we will go with the older version "3.7.2 ecdb138": Selecting a language version for Lean

  5. In a text editor of your choice (e.g. VSCode or Atom), open your leanpkg.toml file: original `leanpkg.toml` Remember we selected "3.7.2 ecdb138" on Codewars for the Lean language version. This means that our desired Lean version is v3.7.2, with a mathlib commit whose id starts with "ecdb138". In this case, the full id of the mathlib commit is ecdb13831d4671eb304c41e78adb5b280c2fc365. So on line 4 in the screenshot above, edit the lean_version to 3.7.2, and on line 8 in the screenshot above, edit the rev field of mathlib to "ecdb13831d4671eb304c41e78adb5b280c2fc365" and save your changes: new `leanpkg.toml`

  6. Using your text editor or otherwise, populate kata/src with the following files:

    • Preloaded.lean: The Preloaded section of the kata, if exists. Usually, kata authors will display the full source code of the Preloaded section in the kata description so just copy-paste that into Preloaded.lean
    • Solution.lean: Your solution to this kata
    • SolutionTest.lean: The (Sample) Test Cases for this kata

  7. On your command line, run leanproject get-mathlib-cache && leanproject build

Now you should be good to go. When solving the kata locally, remember not to modify Preloaded.lean or SolutionTest.lean - the only file you should be working on is Solution.lean. Then, once your project builds without any errors or sorries, copy-paste the full text of Solution.lean back to the kata trainer and hit the "Attempt" button. Given that your solution does not take more than 20s to compile, you should see the blue "Attempt" button turn into a green "Submit" button. Hit the green button and you've solved the kata!

Timeout#

20 seconds

Packages#

None

Services#

None

Language ID#

lean

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