diff --git a/Source/DafnyCore/AST/Expressions/Comprehensions/ComprehensionExpr.cs b/Source/DafnyCore/AST/Expressions/Comprehensions/ComprehensionExpr.cs
index f812996cbd2..ca69537a877 100644
--- a/Source/DafnyCore/AST/Expressions/Comprehensions/ComprehensionExpr.cs
+++ b/Source/DafnyCore/AST/Expressions/Comprehensions/ComprehensionExpr.cs
@@ -266,9 +266,9 @@ public override PoolVirtues Virtues {
         var v = PoolVirtues.IndependentOfAlloc | PoolVirtues.IndependentOfAlloc_or_ExplicitAlloc;
         if (IsFiniteCollection) {
           v |= PoolVirtues.Finite;
-          if (CollectionElementType.IsTestableToBe(BoundVariableType)) {
-            v |= PoolVirtues.Enumerable;
-          }
+        }
+        if (CollectionElementType.IsTestableToBe(BoundVariableType)) {
+          v |= PoolVirtues.Enumerable;
         }
         return v;
       }
diff --git a/Source/DafnyCore/Resolver/ExpressionTester.cs b/Source/DafnyCore/Resolver/ExpressionTester.cs
index 6e58999c1fc..8f678b63727 100644
--- a/Source/DafnyCore/Resolver/ExpressionTester.cs
+++ b/Source/DafnyCore/Resolver/ExpressionTester.cs
@@ -279,6 +279,9 @@ private bool CheckIsCompilable(Expression expr, ICodeContext codeContext, bool i
       if (comprehensionExpr.Range != null) {
         isCompilable = CheckIsCompilable(comprehensionExpr.Range, codeContext) && isCompilable;
       }
+      if (comprehensionExpr is MapComprehension { TermLeft: { } termLeft }) {
+        isCompilable = CheckIsCompilable(termLeft, codeContext) && isCompilable;
+      }
       isCompilable = CheckIsCompilable(comprehensionExpr.Term, codeContext) && isCompilable;
       return isCompilable;
 
@@ -546,10 +549,10 @@ public static bool UsesSpecFeatures(Expression expr) {
       return e.UncompilableBoundVars().Count != 0 || UsesSpecFeatures(e.LogicalBody());
     } else if (expr is SetComprehension) {
       var e = (SetComprehension)expr;
-      return !e.Finite || e.UncompilableBoundVars().Count != 0 || (e.Range != null && UsesSpecFeatures(e.Range)) || (e.Term != null && UsesSpecFeatures(e.Term));
+      return e.UncompilableBoundVars().Count != 0 || (e.Range != null && UsesSpecFeatures(e.Range)) || (e.Term != null && UsesSpecFeatures(e.Term));
     } else if (expr is MapComprehension) {
       var e = (MapComprehension)expr;
-      return !e.Finite || e.UncompilableBoundVars().Count != 0 || UsesSpecFeatures(e.Range) || (e.TermLeft != null && UsesSpecFeatures(e.TermLeft)) || UsesSpecFeatures(e.Term);
+      return e.UncompilableBoundVars().Count != 0 || UsesSpecFeatures(e.Range) || (e.TermLeft != null && UsesSpecFeatures(e.TermLeft)) || UsesSpecFeatures(e.Term);
     } else if (expr is LambdaExpr) {
       var e = (LambdaExpr)expr;
       return UsesSpecFeatures(e.Term);
diff --git a/Source/IntegrationTests/TestFiles/LitTests/LitTest/dafny0/DiscoverBounds.dfy b/Source/IntegrationTests/TestFiles/LitTests/LitTest/dafny0/DiscoverBounds.dfy
index 0df826126fc..661c20a8a61 100644
--- a/Source/IntegrationTests/TestFiles/LitTests/LitTest/dafny0/DiscoverBounds.dfy
+++ b/Source/IntegrationTests/TestFiles/LitTests/LitTest/dafny0/DiscoverBounds.dfy
@@ -38,6 +38,8 @@ method Main()
   print x0, " ", x1, " ", x2, " ", x3, " ", x4, " ", x5, "\n";
   x0, x1, x2, x3, x4, x5 := OtherEq(true, {}, [], map[198 := 200], multiset{}, iset{}, imap[]);
   print x0, " ", x1, " ", x2, " ", x3, " ", x4, " ", x5, "\n";
+
+  EnumerateOverInfiniteCollections();
 }
 
 predicate P(x: int)
@@ -69,3 +71,35 @@ method OtherEq<U,V(==)>(b: bool, s: set<int>, t: seq<real>, u: map<U,V>, v: mult
     x' := var x'' :| x'' == x; x'';
   }
 }
+
+predicate LessThanFour(x: int) {
+  x < 4
+}
+
+method EnumerateOverInfiniteCollections() {
+  // ===== iset
+  
+  var s := {3, 3, 3, 5};
+
+  // Once, the following RHS caused "u" to be auto-ghost. (Oddly enough, when using the same RHS as a
+  // separate assignment, the RHS was not considered to be ghost. So, we test both here.)
+  var u := iset x | x in s;
+  u := iset x | x in s;
+
+  // Once, the compilation of the following was rejected, because an iset was not considered enumerable. But it is.
+  var y :| y in u && LessThanFour(y); // an iset is enumerable, so it's compilable
+  print y, "\n"; // 3
+
+  // ===== imap
+  
+  var m := map[3 := true, 5 := false];
+
+  // Once, the following RHS caused "u" to be auto-ghost.  (Oddly enough, when using the same RHS as a
+  // separate assignment, the RHS was not considered to be ghost. So, we test both here.)
+  var w := imap x | x in m :: true;
+  w := imap x | x in m :: true;
+
+  // Once, the compilation of the following was rejected, because an imap was not considered enumerable. But it is.
+  var z :| z in w && LessThanFour(z); // an imap is enumerable, so it's compilable
+  print z, "\n"; // 3
+}
diff --git a/Source/IntegrationTests/TestFiles/LitTests/LitTest/dafny0/DiscoverBounds.dfy.expect b/Source/IntegrationTests/TestFiles/LitTests/LitTest/dafny0/DiscoverBounds.dfy.expect
index 909a58326d0..2ca3a35b6ae 100644
--- a/Source/IntegrationTests/TestFiles/LitTests/LitTest/dafny0/DiscoverBounds.dfy.expect
+++ b/Source/IntegrationTests/TestFiles/LitTests/LitTest/dafny0/DiscoverBounds.dfy.expect
@@ -5,3 +5,5 @@
 -2
 {} [] map[198 := 200] multiset{} {} map[]
 {} [] map[198 := 200] multiset{} {} map[]
+3
+3
diff --git a/Source/IntegrationTests/TestFiles/LitTests/LitTest/dafny0/DiscoverBoundsErrors.dfy b/Source/IntegrationTests/TestFiles/LitTests/LitTest/dafny0/DiscoverBoundsErrors.dfy
index 107447951d0..168dfd51d7b 100644
--- a/Source/IntegrationTests/TestFiles/LitTests/LitTest/dafny0/DiscoverBoundsErrors.dfy
+++ b/Source/IntegrationTests/TestFiles/LitTests/LitTest/dafny0/DiscoverBoundsErrors.dfy
@@ -77,3 +77,22 @@ lemma MaxExists(ks: set<K>)
     MaxExists(ks - {k});
   }
 }
+
+predicate LessThanFour(x: int) {
+  x < 4
+}
+
+ghost function PlusOne(x: int): int {
+  x + 1
+}
+
+method EnumerateOverInfiniteCollections() {
+  var s := {3, 3, 3, 5};
+  var l;
+  // Once, the TermLeft of map comprehensions was not checked for ghost-ness. Thus, the following assignment
+  // had been allowed by the resolver, which caused the compiler to emit malformed target code. (Oddly enough,
+  // when using the same RHS as an initializing assignment, the ghost-ness was detected and caused the variable
+  // to become auto-ghost which means an error is reported about the print statement not being compilable.)
+  l := map x | x in s && LessThanFour(x) :: PlusOne(x) := x;
+  print l, "\n"; // map[3 := 3]
+}
diff --git a/Source/IntegrationTests/TestFiles/LitTests/LitTest/dafny0/DiscoverBoundsErrors.dfy.expect b/Source/IntegrationTests/TestFiles/LitTests/LitTest/dafny0/DiscoverBoundsErrors.dfy.expect
index 22697debbef..0d086a60afe 100644
--- a/Source/IntegrationTests/TestFiles/LitTests/LitTest/dafny0/DiscoverBoundsErrors.dfy.expect
+++ b/Source/IntegrationTests/TestFiles/LitTests/LitTest/dafny0/DiscoverBoundsErrors.dfy.expect
@@ -4,4 +4,5 @@ DiscoverBoundsErrors.dfy(13,7): Error: quantifiers in non-ghost contexts must be
 DiscoverBoundsErrors.dfy(31,2): Error: forall statements in non-ghost contexts must be compilable, but Dafny's heuristics can't figure out how to produce or compile a bounded set of values for 'i'
 DiscoverBoundsErrors.dfy(34,2): Error: forall statements in non-ghost contexts must be compilable, but Dafny's heuristics can't figure out how to produce or compile a bounded set of values for 'i'
 DiscoverBoundsErrors.dfy(52,2): Error: forall statements in non-ghost contexts must be compilable, but Dafny's heuristics can't figure out how to produce or compile a bounded set of values for 'k'
-6 resolution/type errors detected in DiscoverBoundsErrors.dfy
+DiscoverBoundsErrors.dfy(96,44): Error: a call to a ghost function is allowed only in specification contexts (consider declaring the function without the 'ghost' keyword)
+7 resolution/type errors detected in DiscoverBoundsErrors.dfy
diff --git a/docs/dev/news/5041.fix b/docs/dev/news/5041.fix
new file mode 100644
index 00000000000..082a0e17778
--- /dev/null
+++ b/docs/dev/news/5041.fix
@@ -0,0 +1,3 @@
+Detect the same ghost usage in initializing assignments as in other expressions. The effect of this fix is to allow more iset/imap comprehensions to be compiled.
+
+Also, report errors if the LHS of `:=` in compiled `map`/`imap` comprehensions contains ghosts.