3b38f71f11
We had to change subtype to use Sort since the axiom strong_indefinite_description uses it. see #1341
23 lines
571 B
Text
23 lines
571 B
Text
open nat
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universe variables u
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inductive rvec (α : Type u) : nat → Type u
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| nil {} : rvec 0
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| cons : Π {n}, rvec n → α → rvec (succ n)
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namespace rvec
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local infix :: := cons
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variables {α β δ : Type u}
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def map (f : α → β) : Π {n : nat}, rvec α n → rvec β n
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| 0 nil := nil
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| (succ n) (v::a) := map v :: f a
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def map₂ (f : α → β → δ) : Π {n : nat}, rvec α n → rvec β n → rvec δ n
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| 0 nil nil := nil
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| (succ n) (v::a) (w::b) := map₂ v w :: f a b
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lemma ex1 : map succ (nil::1::2) = nil::2::3 :=
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rfl
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end rvec
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