68 lines
2.4 KiB
Lean4
68 lines
2.4 KiB
Lean4
import GameServer.Commands
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import Game.Levels.Tutorial
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import Game.Levels.Addition
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import Game.Levels.Multiplication
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import Game.Levels.Power
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import Game.Levels.Function
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import Game.Levels.Proposition
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import Game.Levels.AdvProposition
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import Game.Levels.AdvAddition
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import Game.Levels.AdvMultiplication
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--import Game.Levels.Inequality
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Game "NNG"
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Title "Natural Number Game"
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Introduction
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"
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# Natural Number Game
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##### version 3.0.2
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*(note that this ported version of the NNG is still a bit rough around the edges
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and will experience some more love soon.)*
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Welcome to the natural number game -- a game which shows the power of induction.
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In this game, you get own version of the natural numbers, in an interactive
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theorem prover called Lean. Your version of the natural numbers satisfies something called
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the principle of mathematical induction, and a couple of other things too (Peano's axioms).
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Unfortunately, nobody has proved any theorems about these
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natural numbers yet! For example, addition will be defined for you,
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but nobody has proved that `x + y = y + x` yet. This is your job. You're going to
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prove mathematical theorems using the Lean theorem prover. In other words, you're going to solve
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levels in a computer game.
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You're going to prove these theorems using *tactics*. The introductory world, Tutorial World,
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will take you through some of these tactics. During your proofs, the assistant shows your
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\"goal\" (i.e. what you're supposed to be proving) and keeps track of the state of your proof.
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Click on the blue \"Tutorial World\" to start your journey!
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## Save progress
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The game stores your progress locally in your browser storage.
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If you delete it, your progress will be lost!
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(usually the *website data* gets deleted together with cookies.)
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## Credits
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* **Original Lean3-version:** Kevin Buzzard, Mohammad Pedramfar
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* **Content adaptation**: Jon Eugster
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* **Game Engine:** Alexander Bentkamp, Jon Eugster, Patrick Massot
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## Resources
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* The [Lean Zulip chat](https://leanprover.zulipchat.com/) forum
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* [Original Lean3 version](https://www.ma.imperial.ac.uk/~buzzard/xena/natural_number_game/)
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* [A textbook-style (lean4) version of the NN-game](https://lovettsoftware.com/NaturalNumbers/TutorialWorld/Level1.lean.html)
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"
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Path Tutorial → Addition → Function → Proposition → AdvProposition → AdvAddition → AdvMultiplication
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Path Addition → Multiplication → AdvMultiplication -- → Inequality
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Path Multiplication → Power
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MakeGame
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