Merge pull request #4 from funemy/main

Fib in Agda, the boring one

1 files changed, 36 insertions, 0 deletions

diff --git a/entries/funemy/agda/fib1.agda b/entries/funemy/agda/fib1.agda
new file mode 100644
index 0000000..9e7f82a
--- /dev/null
+++ b/entries/funemy/agda/fib1.agda
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+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
+
+