diff --git a/messages/uniworx/categories/courses/participants/de-de-formal.msg b/messages/uniworx/categories/courses/participants/de-de-formal.msg
index 0a169d688..023280fb6 100644
--- a/messages/uniworx/categories/courses/participants/de-de-formal.msg
+++ b/messages/uniworx/categories/courses/participants/de-de-formal.msg
@@ -7,5 +7,5 @@ CourseParticipantsRegisteredWithoutField n@Int: #{n} #{pluralDE n "Teilnehmeri:i
 ParticipantsCsvSheetName tid@TermId ssh@SchoolId: #{foldCase (termToText (unTermKey tid))}-#{foldedCase (unSchoolKey ssh)} Kursteilnehmer:innen
 CourseParticipants n@Int: Derzeit #{n} angemeldete Kursteilnehmer:innen
 ParticipantsIntersectNotOne: Schnitt 
-AllUsersUnion: Vereinigung aller Teilnehmer:innen: 
-AllUsersIntersection: Schnitt aller Teilneher:innen: 
\ No newline at end of file
+AllUsersUnion: Vereinigung aller Teilnehmer:innen
+AllUsersIntersection: Schnitt aller Teilneher:innen
\ No newline at end of file
diff --git a/messages/uniworx/categories/courses/participants/en-eu.msg b/messages/uniworx/categories/courses/participants/en-eu.msg
index 3d110bd7e..e67ae634c 100644
--- a/messages/uniworx/categories/courses/participants/en-eu.msg
+++ b/messages/uniworx/categories/courses/participants/en-eu.msg
@@ -7,5 +7,5 @@ CourseParticipantsRegisteredWithoutField n: #{n} #{pluralEN n "participant was"
 ParticipantsCsvSheetName tid ssh: #{foldCase (termToText (unTermKey tid))}-#{foldedCase (unSchoolKey ssh)} Participants
 CourseParticipants n: Currently #{n} course #{pluralEN n "participant" "participants"}
 ParticipantsIntersectNotOne: Intersection
-AllUsersUnion: Union of all participants: 
-AllUsersIntersection: Intersection of all participants: 
\ No newline at end of file
+AllUsersUnion: Union of all participants 
+AllUsersIntersection: Intersection of all participants 
\ No newline at end of file
diff --git a/src/Handler/Participants.hs b/src/Handler/Participants.hs
index 8b8ac1c65..cbeb69ab2 100644
--- a/src/Handler/Participants.hs
+++ b/src/Handler/Participants.hs
@@ -110,9 +110,9 @@ postParticipantsIntersectR = do
           -> Set.size $ Map.findWithDefault Set.empty lCid courseUsers `Set.intersection` Map.findWithDefault Set.empty uCid courseUsers
         selfIntersections = Map.mapKeysMonotonic (\cid -> (cid, cid)) $ Set.size <$> courseUsers
         intersections' = Map.union intersections selfIntersections 
-    let allUsersUnion = Set.size.Set.unions $ Map.elems courseUsers
+    let allUsersUnion = Set.size . Set.unions $ Map.elems courseUsers
     let mapIntersect = mapIntersectNotOne courseUsers
-    let allUsersIntersection = Set.size.setIntersections $ Map.elems courseUsers
+    let allUsersIntersection = Set.size . setIntersections $ Map.elems courseUsers
     return (courses, intersections', mapIntersect, allUsersUnion, allUsersIntersection)
 
   let
diff --git a/src/Utils.hs b/src/Utils.hs
index e87607e96..0ba53c9fc 100644
--- a/src/Utils.hs
+++ b/src/Utils.hs
@@ -566,7 +566,7 @@ withoutSubsequenceBy cmp = go []
 ----------
 -- Sets --
 ----------
--- all functions that used to be here are now in Utils/Set.hs
+-- all functions that used to be here are now in Utils.Set
 
 ----------
 -- Maps --
diff --git a/src/Utils/Set.hs b/src/Utils/Set.hs
index a74a1db58..01794701e 100644
--- a/src/Utils/Set.hs
+++ b/src/Utils/Set.hs
@@ -19,27 +19,27 @@ import Control.Lens
 
 
 -- | cardinal number of an intersection of a set and a list of sets
-setIntersectNotOne :: Ord a => Set.Set a -> [Set.Set a] -> Int 
+setIntersectNotOne :: Ord a => Set a -> [Set a] -> Int 
 setIntersectNotOne _ [] = 0
 setIntersectNotOne k r = Set.size $ Set.intersection k others where others = Set.unions r
 
-----------------------------------
--- Functions for Particiants.hs --
-----------------------------------
+----------------------------------------
+-- Functions for Handler.Participants --
+----------------------------------------
 
 -- | extracts from a map a list of values (sets) without one specific entry (a)
-getAllElemsWithoutOne :: (Ord a) => Map.Map a (Set b) -> a -> [Set b]
+getAllElemsWithoutOne :: (Ord a) => Map a (Set b) -> a -> [Set b]
 getAllElemsWithoutOne m cid = Map.elems $ Map.delete cid m 
 
 -- | transforms values (sets) of a map to integers. The number gives information about how many entreis are not only in this one 
-mapIntersectNotOne :: (Ord a, Ord b) => Map.Map a (Set b) -> Map.Map a Int 
-mapIntersectNotOne m = loop (Map.toList m) Map.empty where 
-    loop [] ino = ino 
-    loop ((k,_):xs) ino = loop xs $ Map.insert k (setIntersectNotOne (Map.findWithDefault Set.empty k m) (getAllElemsWithoutOne m k)) ino
-
------------------------------
--- Functions from Utils.hs --
------------------------------
+mapIntersectNotOne :: forall a b. (Ord a, Ord b) => Map a (Set b) -> Map a Int 
+mapIntersectNotOne m = Map.mapWithKey f m where 
+    f :: a -> Set b -> Int
+    f k _ = setIntersectNotOne (Map.findWithDefault Set.empty k m) (getAllElemsWithoutOne m k)
+ 
+--------------------------
+-- Functions from Utils --
+--------------------------
 
 -- | Intersection of multiple sets. Returns empty set for empty input list
 setIntersections :: Ord a => [Set a] -> Set a
diff --git a/templates/participants-intersect.hamlet b/templates/participants-intersect.hamlet
index 573c8726f..eeaa544a0 100644
--- a/templates/participants-intersect.hamlet
+++ b/templates/participants-intersect.hamlet
@@ -30,8 +30,8 @@ $maybe (courses, intersections, mapIntersect, allUsersUnion, allUsersIntersectio
                 <td .table__td .text--center .table__td--automatic>
                   #{num}
   <p> 
-    _{MsgAllUsersUnion}
+    _{MsgAllUsersUnion}: #
     #{allUsersUnion}
   <p> 
-    _{MsgAllUsersIntersection}
+    _{MsgAllUsersIntersection}: #
     #{allUsersIntersection}
\ No newline at end of file