Just change this:
$checklogin = mysqli_query($con, "SELECT * FROM users WHERE username = '".$username."' AND password= sha1('".$password."')");
if(mysql_num_rows($checklogin) == 1) { //Wrong line
echo 'Success!';
} else {
echo 'No';
}
To this:
$checklogin = mysqli_query($con, "SELECT * FROM users WHERE username = '".$username."' AND password= sha1('".$password."')");
if(mysqli_num_rows($checklogin) == 1) { //mysqli
echo 'Success!';
} else {
echo 'No';
}