11 lines
356 B
Text
11 lines
356 B
Text
open nat
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inductive vector (A : Type) : nat → Type
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| vnil : vector nat.zero
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| vcons : Π {n : nat}, A → vector n → vector (succ n)
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namespace vector
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theorem vcons.inj₁ {A : Type} {n : nat} (a₁ a₂ : A) (v₁ v₂ : vector A n) : vcons a₁ v₁ = vcons a₂ v₂ → a₁ = a₂ :=
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assume h, vector.no_confusion h (λ n h t, h)
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end vector
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