diff --git a/src/backend/commands/trigger.c b/src/backend/commands/trigger.c
index bbb83911a9a..bd5dee4286a 100644
--- a/src/backend/commands/trigger.c
+++ b/src/backend/commands/trigger.c
@@ -60,12 +60,6 @@
 int			SessionReplicationRole = SESSION_REPLICATION_ROLE_ORIGIN;
 
 
-/*
- * Note that this macro also exists in executor/execMain.c.  There does not
- * appear to be any good header to put it into, given the structures that
- * it uses, so we let them be duplicated.  Be sure to update both if one needs
- * to be changed, however.
- */
 #define GetModifiedColumns(relinfo, estate) \
 	(rt_fetch((relinfo)->ri_RangeTableIndex, (estate)->es_range_table)->modifiedCols)
 
diff --git a/src/backend/executor/execMain.c b/src/backend/executor/execMain.c
index 8ff6ede7714..cd0def4aab9 100644
--- a/src/backend/executor/execMain.c
+++ b/src/backend/executor/execMain.c
@@ -95,15 +95,6 @@ static void intorel_receive(TupleTableSlot *slot, DestReceiver *self);
 static void intorel_shutdown(DestReceiver *self);
 static void intorel_destroy(DestReceiver *self);
 
-/*
- * Note that this macro also exists in commands/trigger.c.  There does not
- * appear to be any good header to put it into, given the structures that
- * it uses, so we let them be duplicated.  Be sure to update both if one needs
- * to be changed, however.
- */
-#define GetModifiedColumns(relinfo, estate) \
-	(rt_fetch((relinfo)->ri_RangeTableIndex, (estate)->es_range_table)->modifiedCols)
-
 /* end of local decls */
 
 
diff --git a/src/test/regress/expected/privileges.out b/src/test/regress/expected/privileges.out
index dfeb5bde12b..de2f6d11b5f 100644
--- a/src/test/regress/expected/privileges.out
+++ b/src/test/regress/expected/privileges.out
@@ -380,14 +380,6 @@ INSERT INTO t1 (c1, c2) VALUES (1, 1); -- fail, but row not shown
 ERROR:  duplicate key value violates unique constraint "t1_pkey"
 UPDATE t1 SET c2 = 1; -- fail, but row not shown
 ERROR:  duplicate key value violates unique constraint "t1_pkey"
-INSERT INTO t1 (c1, c2) VALUES (null, null); -- fail, but see columns being inserted
-ERROR:  null value in column "c1" violates not-null constraint
-INSERT INTO t1 (c3) VALUES (null); -- fail, but see columns being inserted or have SELECT
-ERROR:  null value in column "c1" violates not-null constraint
-INSERT INTO t1 (c1) VALUES (5); -- fail, but see columns being inserted or have SELECT
-ERROR:  null value in column "c2" violates not-null constraint
-UPDATE t1 SET c3 = 10; -- fail, but see columns with SELECT rights, or being modified
-ERROR:  new row for relation "t1" violates check constraint "t1_c3_check"
 SET SESSION AUTHORIZATION regressuser1;
 DROP TABLE t1;
 -- test column-level privileges when involved with DELETE
diff --git a/src/test/regress/sql/privileges.sql b/src/test/regress/sql/privileges.sql
index f3cc04bd1d3..53ab509c004 100644
--- a/src/test/regress/sql/privileges.sql
+++ b/src/test/regress/sql/privileges.sql
@@ -255,10 +255,6 @@ INSERT INTO t1 VALUES (3, 1, 3);
 SET SESSION AUTHORIZATION regressuser2;
 INSERT INTO t1 (c1, c2) VALUES (1, 1); -- fail, but row not shown
 UPDATE t1 SET c2 = 1; -- fail, but row not shown
-INSERT INTO t1 (c1, c2) VALUES (null, null); -- fail, but see columns being inserted
-INSERT INTO t1 (c3) VALUES (null); -- fail, but see columns being inserted or have SELECT
-INSERT INTO t1 (c1) VALUES (5); -- fail, but see columns being inserted or have SELECT
-UPDATE t1 SET c3 = 10; -- fail, but see columns with SELECT rights, or being modified
 
 SET SESSION AUTHORIZATION regressuser1;
 DROP TABLE t1;