From b21e69503571272a5f35cf84c731994f3e921a3a Mon Sep 17 00:00:00 2001
From: Greg Brown <greg.brown01@ed.ac.uk>
Date: Tue, 29 Nov 2022 14:36:13 +0000
Subject: Move indexed setoids and functions out of Soat.

---
 src/Soat/Relation.idr | 46 ----------------------------------------------
 1 file changed, 46 deletions(-)
 delete mode 100644 src/Soat/Relation.idr

(limited to 'src/Soat/Relation.idr')

diff --git a/src/Soat/Relation.idr b/src/Soat/Relation.idr
deleted file mode 100644
index 9826d60..0000000
--- a/src/Soat/Relation.idr
+++ /dev/null
@@ -1,46 +0,0 @@
-module Soat.Relation
-
-import public Data.Setoid
-
-%default total
-
-public export
-IRel : {a : Type} -> (a -> Type) -> Type
-IRel {a = a} x = (i : a) -> x i -> x i -> Type
-
-public export
-IReflexive : {a : Type} -> (x : a -> Type) -> IRel x -> Type
-IReflexive x rel = (i : a) -> Reflexive (x i) (rel i)
-
-public export
-ISymmetric : {a : Type} -> (x : a -> Type) -> IRel x -> Type
-ISymmetric x rel = (i : a) -> Symmetric (x i) (rel i)
-
-public export
-ITransitive : {a : Type} -> (x : a -> Type) -> IRel x -> Type
-ITransitive x rel = (i : a) -> Transitive (x i) (rel i)
-
-public export
-IEquivalence : {a : Type} -> (x : a -> Type) -> IRel x -> Type
-IEquivalence x rel = (i : a) -> Setoid.Equivalence (x i) (rel i)
-
-public export
-record ISetoid (a : Type) where
-  constructor MkISetoid
-  0 U         : a -> Type
-  0 relation  : IRel U
-  equivalence : IEquivalence U relation
-
-public export
-isetoid : (a -> Type) -> ISetoid a
-isetoid u = MkISetoid u (\_ => Equal) (\_ => equiv)
-
-public export
-IFunc : {a : Type} -> (x, y : a -> Type) -> Type
-IFunc {a} x y = (i : a) -> x i -> y i
-
-public export
-record IFunction {a : Type} (x, y : ISetoid a) where
-  constructor MkIFunction
-  func : IFunc x.U y.U
-  cong : (i : a) -> {u, v : x.U i} -> x.relation i u v -> y.relation i (func i u) (func i v)
-- 
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