41 lines
738 B
Text
41 lines
738 B
Text
mutual
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inductive Even : Nat → Prop
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| base : Even 0
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| step : Odd n → Even (n+1)
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inductive Odd : Nat → Prop
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| step : Even n → Odd (n+1)
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end
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decreasing_by assumption
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mutual
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def f (n : Nat) :=
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if n == 0 then 0 else f (n / 2) + 1
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decreasing_by assumption
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end
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def g' (n : Nat) :=
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match n with
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| 0 => 1
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| n+1 => g' n * 3
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decreasing_by
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h => assumption
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namespace Test
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mutual
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def f : Nat → α → α → α
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| 0, a, b => a
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| n+1, a, b => g n a b |>.1
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def g : Nat → α → α → (α × α)
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| 0, a, b => (a, b)
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| n+1, a, b => (h n a b, a)
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def h : Nat → α → α → α
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| 0, a, b => b
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| n+1, a, b => f n a b
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end
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decreasing_by
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f => assumption
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g => assumption
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end Test
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