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Diffstat (limited to 'entries/funemy/agda/fib1.agda')
-rw-r--r-- | entries/funemy/agda/fib1.agda | 34 |
1 files changed, 34 insertions, 0 deletions
diff --git a/entries/funemy/agda/fib1.agda b/entries/funemy/agda/fib1.agda new file mode 100644 index 0000000..d8931a0 --- /dev/null +++ b/entries/funemy/agda/fib1.agda @@ -0,0 +1,34 @@ +open import Agda.Builtin.Equality + +data Nat : Set where + zero : Nat + suc : Nat -> Nat + +{-# BUILTIN NATURAL Nat #-} + +z : Nat +z = zero + +one : Nat +one = suc zero + +add : Nat → Nat → Nat +add zero y = y +add (suc x) y = suc (add x y) + +fib : Nat → Nat +fib zero = zero +fib (suc zero) = suc zero +fib (suc (suc x)) = add (fib x) (fib (suc x)) + +fib0 : fib 0 ≡ 0 +fib0 = refl + +fib1 : fib 1 ≡ 1 +fib1 = refl + +fib2 : fib 2 ≡ 1 +fib2 = refl + +fib8 : fib 8 ≡ 21 +fib8 = refl |