modify Statement
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@@ -10,14 +10,14 @@ Introduction
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"
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Each level in this game involves proving a mathematical statement. In this first level
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you have three natural numbers $x, y, z$ (listed under \"Objects\") and you want to prove
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$x \\cdot y + z = x \\cdot y + z$ (displayed under \"Goal\").
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$xy + z = xy + z$ (displayed under \"Goal\").
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You can modify the Goal using *Tactics* until you can close (i.e. prove) it.
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You can modify the Goal using *Tactics* until you can close it (i.e. prove it).
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The first tactic is called `rfl`, which stands for \"reflexivity\",
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a fancy way of saying that it will prove any goal of the form `A = A`. It doesn't matter how
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complicated `A` is, all that matters is that the left hand side is exactly equal to the right hand
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side (a computer scientist would say \"definitionally equal\"). I really mean \"press the same buttons
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side. I really mean \"press the same buttons
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on your computer in the same order\" equal. For example, `x * y + z = x * y + z` can be proved by `rfl`,
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but `x + y = y + x` cannot.
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"
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@@ -33,11 +33,11 @@ Statement
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"Now both sides are identical, so you can use `rfl` to close the goal."
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rfl
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NewTactic rewrite rw
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NewTactic rw
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Conclusion
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"
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If you want to see the entire proof you created, toggle \"Editor mode\" above.
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If you want to inspect the proof you created, toggle \"Editor mode\" above.
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There you can also move your cursor around the proof to see the \"state\" of the proof at this point.
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