49 lines
1.1 KiB
Text
49 lines
1.1 KiB
Text
inductive Bla : Type u where
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| nil : Bla
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| cons : (α : Type u) → (a : α) → Bla → Bla -- Error
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inductive Foo : Type where
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| leaf
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| mk (α : Type) (a : α) -- Error
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| mk₂
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inductive Foo' : Type u where
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| leaf
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| mk : Sort (max u v) → a → Foo' -- Error
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| mk₂
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inductive Boo : Type u where
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| nil : Boo
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| cons : (α : Sort u) → (a : α) → Boo → Boo
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namespace Ex1
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inductive Member : α → List α → Type u
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| head : Member a (a::as)
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| tail : Member a bs → Member a (b::bs)
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#check @Member.head
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end Ex1
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namespace Ex2
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inductive Member : α → List α → Type
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| head : Member a (a::as)
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| tail : Member a bs → Member a (b::bs)
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end Ex2
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namespace Ex3
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inductive Member : α → List α → Type (max u v)
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| head : Member a (a::as) -- Error
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| tail : Member a bs → Member a (b::bs)
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end Ex3
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namespace Ex4
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inductive Member : α → List α → Type (u+1)
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| head : Member a (a::as) -- Error
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| tail : Member a bs → Member a (b::bs)
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end Ex4
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namespace Ex5
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inductive Member : α → List α → Type 1
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| head : Member a (a::as) -- Error
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| tail : Member a bs → Member a (b::bs)
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end Ex5
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