diff --git a/core/modules/system/lib/Drupal/system/Tests/System/ThemeTest.php b/core/modules/system/lib/Drupal/system/Tests/System/ThemeTest.php
index 111e6b7..e965bc9 100644
--- a/core/modules/system/lib/Drupal/system/Tests/System/ThemeTest.php
+++ b/core/modules/system/lib/Drupal/system/Tests/System/ThemeTest.php
@@ -242,11 +242,14 @@ function testSwitchDefaultTheme() {
 
   /**
    * Test that themes can't be enabled when the base theme or engine is missing.
+   * Include test for themes that have a missing base theme somewhere further up
+   * the chain than the immediate base theme.
    */
   function testInvalidTheme() {
     module_enable(array('theme_page_test'));
     $this->drupalGet('admin/appearance');
     $this->assertText(t('This theme requires the base theme @base_theme to operate correctly.', array('@base_theme' => 'not_real_test_basetheme')), 'Invalid base theme check succeeded.');
+    $this->assertText(t('This theme requires the base theme @base_theme to operate correctly.', array('@base_theme' => 'test_invalid_basetheme')), 'Invalid non-immediate base theme check succeeded.');
     $this->assertText(t('This theme requires the theme engine @theme_engine to operate correctly.', array('@theme_engine' => 'not_real_engine')), 'Invalid theme engine check succeeded.');
   }
 }
diff --git a/core/modules/system/system.admin.inc b/core/modules/system/system.admin.inc
index c3c2ce4..cad498b 100644
--- a/core/modules/system/system.admin.inc
+++ b/core/modules/system/system.admin.inc
@@ -157,8 +157,8 @@ function system_themes_page() {
      // content has a common place in all themes.
       $theme->incompatible_core = !isset($theme->info['core']) || ($theme->info['core'] != DRUPAL_CORE_COMPATIBILITY) || (!isset($theme->info['regions']['content']));
       $theme->incompatible_php = version_compare(phpversion(), $theme->info['php']) < 0;
-      // Confirmed that the base theme is available.
-      $theme->incompatible_base = (isset($theme->info['base theme']) && !isset($themes[$theme->info['base theme']]));
+      // Confirm that all base themes are available.
+      $theme->incompatible_base = (isset($theme->info['base theme']) && !($theme->base_themes === array_filter($theme->base_themes)));
       // Confirm that the theme engine is available.
       $theme->incompatible_engine = (isset($theme->info['engine']) && !isset($theme->owner));
     }
diff --git a/core/modules/system/tests/modules/theme_page_test/theme_page_test.module b/core/modules/system/tests/modules/theme_page_test/theme_page_test.module
index 63f8cb4..9ffbf31 100644
--- a/core/modules/system/tests/modules/theme_page_test/theme_page_test.module
+++ b/core/modules/system/tests/modules/theme_page_test/theme_page_test.module
@@ -16,6 +16,7 @@ function theme_page_test_system_info_alter(&$info, $file, $type) {
  */
 function theme_page_test_system_theme_info() {
   $themes['test_invalid_basetheme'] = drupal_get_path('module', 'system') . '/tests/themes/test_invalid_basetheme/test_invalid_basetheme.info';
+  $themes['test_invalid_basetheme_sub'] = drupal_get_path('module', 'system') . '/tests/themes/test_invalid_basetheme/test_invalid_basetheme_sub.info';
   $themes['test_invalid_engine'] = drupal_get_path('module', 'system') . '/tests/themes/test_invalid_engine/test_invalid_engine.info';
   return $themes;
 }
diff --git a/core/modules/system/tests/themes/test_invalid_basetheme/test_invalid_basetheme_sub.info b/core/modules/system/tests/themes/test_invalid_basetheme/test_invalid_basetheme_sub.info
new file mode 100644
index 0000000..8a26383
--- /dev/null
+++ b/core/modules/system/tests/themes/test_invalid_basetheme/test_invalid_basetheme_sub.info
@@ -0,0 +1,5 @@
+name = Theme test with valid base theme but no grandparent base theme
+description = Test theme which has a non-existent base theme in the base chain.
+core = 8.x
+base theme = test_invalid_basetheme
+hidden = TRUE