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-rw-r--r--Bidir.agda7
1 files changed, 5 insertions, 2 deletions
diff --git a/Bidir.agda b/Bidir.agda
index 84d3b73..28534a2 100644
--- a/Bidir.agda
+++ b/Bidir.agda
@@ -25,6 +25,10 @@ module FinMap where
empty : {A : Set} {n : ℕ} → FinMapMaybe n A
empty = replicate nothing
+ fromAscList : {A : Set} {n : ℕ} → List (Fin n × A) → FinMapMaybe n A
+ fromAscList [] = empty
+ fromAscList ((f , a) ∷ xs) = insert f a (fromAscList xs)
+
FinMap : ℕ → Set → Set
FinMap n A = Vec A n
@@ -52,8 +56,7 @@ assoc eq (i ∷ is) (b ∷ bs) = maybe′ (checkInsert eq i b) nothing (assoc eq
assoc _ _ _ = nothing
generate : {A : Set} {n : ℕ} → (Fin n → A) → List (Fin n) → FinMapMaybe n A
-generate f [] = empty
-generate f (n ∷ ns) = insert n (f n) (generate f ns)
+generate f is = fromAscList (zip is (map f is))
lemma-1 : {τ : Set} {n : ℕ} → (eq : (x y : τ) → Dec (x ≡ y)) → (f : Fin n → τ) → (is : List (Fin n)) → assoc eq is (map f is) ≡ just (generate f is)
lemma-1 eq f [] = refl