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module subttle where | |
open import Data.Nat | |
open import Data.Fin | |
open import Relation.Binary.PropositionalEquality | |
minFin : ∀ {n} → Fin (suc n) | |
minFin = zero | |
maxFin : ∀ {n} → Fin (suc n) | |
maxFin {zero} = zero | |
maxFin {suc n} = suc maxFin | |
minFin≡0 : ∀ {n} → minFin {n} ≡ zero | |
minFin≡0 = refl | |
maxFin≡n : ∀ {n} → maxFin {n} ≡ fromℕ n | |
maxFin≡n {zero} = refl | |
maxFin≡n {suc n} = cong suc maxFin≡n |
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