53 lines
902 B
Text
53 lines
902 B
Text
new_frontend
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#print "---- h1"
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def h1 (b : Bool) : Nat :=
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match b with
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| true => 0
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| false => 10
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#eval h1 false
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#print "---- h2"
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def h2 (x : List Nat) : Nat :=
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match x with
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| [x1, x2] => x1 + x2
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| x::xs => x
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| _ => 0
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#eval h2 [1, 2]
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#eval h2 [10, 4, 5]
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#eval h2 []
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#print "---- h3"
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def h3 (x : Array Nat) : Nat :=
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match x with
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| #[x] => x
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| #[x, y] => x + y
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| xs => xs.size
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#eval h3 #[10]
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#eval h3 #[10, 20]
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#eval h3 #[10, 20, 30, 40]
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#print "---- inv"
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inductive Image {α β : Type} (f : α → β) : β → Type
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| mk (a : α) : Image (f a)
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def mkImage {α β : Type} (f : α → β) (a : α) : Image f (f a) :=
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Image.mk a
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def inv {α β : Type} {f : α → β} {b : β} (t : Image f b) : α :=
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match b, t with
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| _, Image.mk a => a
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#eval inv (mkImage Nat.succ 10)
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theorem foo {p q} (h : p ∨ q) : q ∨ p :=
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match h with
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| Or.inl h => Or.inr h
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| Or.inr h => Or.inl h
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