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