Index: src/where.c
==================================================================
--- src/where.c
+++ src/where.c
@@ -2421,10 +2421,14 @@
 ** in the current query.  Return true if it can be and false if not.
 */
 static int whereUsablePartialIndex(int iTab, WhereClause *pWC, Expr *pWhere){
   int i;
   WhereTerm *pTerm;
+  while( pWhere->op==TK_AND ){
+    if( !whereUsablePartialIndex(iTab,pWC,pWhere->pLeft) ) return 0;
+    pWhere = pWhere->pRight;
+  }
   for(i=0, pTerm=pWC->a; i<pWC->nTerm; i++, pTerm++){
     Expr *pExpr = pTerm->pExpr;
     if( sqlite3ExprImpliesExpr(pExpr, pWhere, iTab) 
      && (!ExprHasProperty(pExpr, EP_FromJoin) || pExpr->iRightJoinTable==iTab)
     ){

Index: test/index6.test
==================================================================
--- test/index6.test
+++ test/index6.test
@@ -343,7 +343,37 @@
   INSERT INTO t9 VALUES(1,1,9),(10,2,35),(11,15,82),(20,19,5);
   UPDATE t9 SET b=c WHERE a in (10,12,20);
   SELECT a,b,c,'|' FROM t9 ORDER BY a;
 } {1 1 9 | 10 35 35 | 11 15 82 | 20 5 5 |}
 
+# AND-connected terms in the WHERE clause of a partial index
+#
+do_execsql_test index6-10.1 {
+  CREATE TABLE t10(a,b,c,d,e INTEGER PRIMARY KEY);
+  INSERT INTO t10 VALUES
+    (1,2,3,4,5),
+    (2,3,4,5,6),
+    (3,4,5,6,7),
+    (1,2,3,8,9);
+  CREATE INDEX t10x ON t10(d) WHERE a=1 AND b=2 AND c=3;
+  SELECT e FROM t10 WHERE a=1 AND b=2 AND c=3 ORDER BY d;
+} {5 9}
+do_execsql_test index6-10.1eqp {
+  EXPLAIN QUERY PLAN
+  SELECT e FROM t10 WHERE a=1 AND b=2 AND c=3 ORDER BY d;
+} {/USING INDEX t10x/}
+do_execsql_test index6-10.2 {
+  SELECT e FROM t10 WHERE c=3 AND 2=b AND a=1 ORDER BY d DESC;
+} {9 5}
+do_execsql_test index6-10.2eqp {
+  EXPLAIN QUERY PLAN
+  SELECT e FROM t10 WHERE c=3 AND 2=b AND a=1 ORDER BY d DESC;
+} {/USING INDEX t10x/}
+do_execsql_test index6-10.3 {
+  SELECT e FROM t10 WHERE a=1 AND b=2 ORDER BY d DESC;
+} {9 5}
+do_execsql_test index6-10.3eqp {
+  EXPLAIN QUERY PLAN
+  SELECT e FROM t10 WHERE a=1 AND b=2 ORDER BY d DESC;
+} {~/USING INDEX t10x/}
 
 finish_test