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+{-# OPTIONS --without-K --safe #-}
+
+open import Data.Hypergraph.Label using (HypergraphLabel)
+
+module Data.Hypergraph.Base (HL : HypergraphLabel) where
+
+open import Data.Hypergraph.Edge HL using (Edge; decTotalOrder; showEdge)
+open import Data.List.Base using (List; map)
+open import Data.Nat.Base using (ℕ)
+open import Data.String using (String; unlines)
+
+import Data.List.Sort as Sort
+
+record Hypergraph (v : ℕ) : Set where
+  constructor mkHypergraph
+  field
+    edges : List (Edge v)
+
+sortHypergraph : {v : ℕ} → Hypergraph v → Hypergraph v
+sortHypergraph {v} H = record { edges = sort edges }
+  where
+    open Hypergraph H
+    open Sort decTotalOrder using (sort)
+
+showHypergraph : {v : ℕ} → Hypergraph v → String
+showHypergraph record { edges = e} = unlines (map showEdge e)