20 lines
398 B
Text
20 lines
398 B
Text
def g (t : Nat) : Nat := match t with
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| (n+1) => match g n with
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| 0 => 0
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| m + 1 => match g (n - m) with
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| 0 => 0
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| m + 1 => g n
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| 0 => 0
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decreasing_by all_goals sorry
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attribute [simp] g
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#check g.eq_1
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#check g.eq_2
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theorem ex3 : g (n + 1) = match g n with
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| 0 => 0
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| m + 1 => match g (n - m) with
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| 0 => 0
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| m + 1 => g n := by
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conv => lhs; unfold g
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