get game building again!
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@@ -15,6 +15,9 @@ which is a warm-up to see if you remember `zero_ne_succ`
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and `succ_inj`, and how to use the `apply` tactic.
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"
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LemmaDoc MyNat.ne_succ_self as "ne_succ_self" in "≤" "
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`ne_succ_self n` is the proof that `n ≠ succ n`."
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/-- $n\neq\operatorname{succ}(n)$. -/
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Statement ne_succ_self (n : ℕ) : n ≠ succ n := by
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Hint "Start with `induction`."
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@@ -13,7 +13,7 @@ LemmaDoc MyNat.le_succ_self as "le_succ_self" in "≤" "
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NewLemma MyNat.le_succ_self
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/-- If $x$ is a number, then $x \le \operatorname{succ}(x)$. -/
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Statement (x : ℕ) : x ≤ succ x := by
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Statement le_succ_self (x : ℕ) : x ≤ succ x := by
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use 1
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rw [succ_eq_add_one]
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rfl
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