diff --git a/src/backend/parser/parse_relation.c b/src/backend/parser/parse_relation.c
index b875a506463..a56bd86181a 100644
--- a/src/backend/parser/parse_relation.c
+++ b/src/backend/parser/parse_relation.c
@@ -1737,16 +1737,46 @@ addRangeTableEntryForFunction(ParseState *pstate,
 
 		/*
 		 * A coldeflist is required if the function returns RECORD and hasn't
-		 * got a predetermined record type, and is prohibited otherwise.
+		 * got a predetermined record type, and is prohibited otherwise.  This
+		 * can be a bit confusing, so we expend some effort on delivering a
+		 * relevant error message.
 		 */
 		if (coldeflist != NIL)
 		{
-			if (functypclass != TYPEFUNC_RECORD)
-				ereport(ERROR,
-						(errcode(ERRCODE_SYNTAX_ERROR),
-						 errmsg("a column definition list is only allowed for functions returning \"record\""),
-						 parser_errposition(pstate,
-											exprLocation((Node *) coldeflist))));
+			switch (functypclass)
+			{
+				case TYPEFUNC_RECORD:
+					/* ok */
+					break;
+				case TYPEFUNC_COMPOSITE:
+				case TYPEFUNC_COMPOSITE_DOMAIN:
+
+					/*
+					 * If the function's raw result type is RECORD, we must
+					 * have resolved it using its OUT parameters.  Otherwise,
+					 * it must have a named composite type.
+					 */
+					if (exprType(funcexpr) == RECORDOID)
+						ereport(ERROR,
+								(errcode(ERRCODE_SYNTAX_ERROR),
+								 errmsg("a column definition list is redundant for a function with OUT parameters"),
+								 parser_errposition(pstate,
+													exprLocation((Node *) coldeflist))));
+					else
+						ereport(ERROR,
+								(errcode(ERRCODE_SYNTAX_ERROR),
+								 errmsg("a column definition list is redundant for a function returning a named composite type"),
+								 parser_errposition(pstate,
+													exprLocation((Node *) coldeflist))));
+					break;
+				default:
+					ereport(ERROR,
+							(errcode(ERRCODE_SYNTAX_ERROR),
+							 errmsg("a column definition list is only allowed for functions returning \"record\""),
+							 parser_errposition(pstate,
+												exprLocation((Node *) coldeflist))));
+					break;
+			}
 		}
 		else
 		{
diff --git a/src/test/regress/expected/rangefuncs.out b/src/test/regress/expected/rangefuncs.out
index 7eced284520..e618aec2ebc 100644
--- a/src/test/regress/expected/rangefuncs.out
+++ b/src/test/regress/expected/rangefuncs.out
@@ -2109,6 +2109,19 @@ select * from testrngfunc();
  7.136178 | 7.14
 (1 row)
 
+-- Check a couple of error cases while we're here
+select * from testrngfunc() as t(f1 int8,f2 int8);  -- fail, composite result
+ERROR:  a column definition list is redundant for a function returning a named composite type
+LINE 1: select * from testrngfunc() as t(f1 int8,f2 int8);
+                                         ^
+select * from pg_get_keywords() as t(f1 int8,f2 int8);  -- fail, OUT params
+ERROR:  a column definition list is redundant for a function with OUT parameters
+LINE 1: select * from pg_get_keywords() as t(f1 int8,f2 int8);
+                                             ^
+select * from sin(3) as t(f1 int8,f2 int8);  -- fail, scalar result type
+ERROR:  a column definition list is only allowed for functions returning "record"
+LINE 1: select * from sin(3) as t(f1 int8,f2 int8);
+                                  ^
 drop type rngfunc_type cascade;
 NOTICE:  drop cascades to function testrngfunc()
 --
diff --git a/src/test/regress/sql/rangefuncs.sql b/src/test/regress/sql/rangefuncs.sql
index ae3119a959e..5f41cb2d8d0 100644
--- a/src/test/regress/sql/rangefuncs.sql
+++ b/src/test/regress/sql/rangefuncs.sql
@@ -629,6 +629,11 @@ explain (verbose, costs off)
 select * from testrngfunc();
 select * from testrngfunc();
 
+-- Check a couple of error cases while we're here
+select * from testrngfunc() as t(f1 int8,f2 int8);  -- fail, composite result
+select * from pg_get_keywords() as t(f1 int8,f2 int8);  -- fail, OUT params
+select * from sin(3) as t(f1 int8,f2 int8);  -- fail, scalar result type
+
 drop type rngfunc_type cascade;
 
 --