diff --git a/src/Rules/Classes/LocalTypeAliasesCheck.php b/src/Rules/Classes/LocalTypeAliasesCheck.php
index cd6362f8dd..71e807ecd7 100644
--- a/src/Rules/Classes/LocalTypeAliasesCheck.php
+++ b/src/Rules/Classes/LocalTypeAliasesCheck.php
@@ -4,12 +4,14 @@
 
 use PhpParser\Node\Stmt\ClassLike;
 use PHPStan\Analyser\NameScope;
+use PHPStan\Internal\SprintfHelper;
 use PHPStan\PhpDoc\TypeNodeResolver;
 use PHPStan\PhpDocParser\Ast\Type\IdentifierTypeNode;
 use PHPStan\Reflection\ClassReflection;
 use PHPStan\Reflection\ReflectionProvider;
 use PHPStan\Rules\ClassNameCheck;
 use PHPStan\Rules\ClassNameNodePair;
+use PHPStan\Rules\Generics\GenericObjectTypeCheck;
 use PHPStan\Rules\IdentifierRuleError;
 use PHPStan\Rules\MissingTypehintCheck;
 use PHPStan\Rules\PhpDoc\UnresolvableTypeHelper;
@@ -39,6 +41,7 @@ public function __construct(
 		private MissingTypehintCheck $missingTypehintCheck,
 		private ClassNameCheck $classCheck,
 		private UnresolvableTypeHelper $unresolvableTypeHelper,
+		private GenericObjectTypeCheck $genericObjectTypeCheck,
 		private bool $checkMissingTypehints,
 		private bool $checkClassCaseSensitivity,
 		private bool $absentTypeChecks,
@@ -256,6 +259,35 @@ public function check(ClassReflection $reflection, ClassLike $node): array
 					->identifier('typeAlias.unresolvableType')
 					->build();
 			}
+
+			$escapedTypeAlias = SprintfHelper::escapeFormatString($aliasName);
+			$errors = array_merge($errors, $this->genericObjectTypeCheck->check(
+				$resolvedType,
+				sprintf(
+					'Type alias %s contains generic type %%s but %%s %%s is not generic.',
+					$escapedTypeAlias,
+				),
+				sprintf(
+					'Generic type %%s in type alias %s does not specify all template types of %%s %%s: %%s',
+					$escapedTypeAlias,
+				),
+				sprintf(
+					'Generic type %%s in type alias %s specifies %%d template types, but %%s %%s supports only %%d: %%s',
+					$escapedTypeAlias,
+				),
+				sprintf(
+					'Type %%s in generic type %%s in type alias %s is not subtype of template type %%s of %%s %%s.',
+					$escapedTypeAlias,
+				),
+				sprintf(
+					'Call-site variance of %%s in generic type %%s in type alias %s is in conflict with %%s template type %%s of %%s %%s.',
+					$escapedTypeAlias,
+				),
+				sprintf(
+					'Call-site variance of %%s in generic type %%s in type alias %s is redundant, template type %%s of %%s %%s has the same variance.',
+					$escapedTypeAlias,
+				),
+			));
 		}
 
 		return $errors;
diff --git a/tests/PHPStan/Rules/Classes/LocalTypeAliasesRuleTest.php b/tests/PHPStan/Rules/Classes/LocalTypeAliasesRuleTest.php
index 089014a7ae..e8c07ca171 100644
--- a/tests/PHPStan/Rules/Classes/LocalTypeAliasesRuleTest.php
+++ b/tests/PHPStan/Rules/Classes/LocalTypeAliasesRuleTest.php
@@ -6,6 +6,7 @@
 use PHPStan\Rules\ClassCaseSensitivityCheck;
 use PHPStan\Rules\ClassForbiddenNameCheck;
 use PHPStan\Rules\ClassNameCheck;
+use PHPStan\Rules\Generics\GenericObjectTypeCheck;
 use PHPStan\Rules\MissingTypehintCheck;
 use PHPStan\Rules\PhpDoc\UnresolvableTypeHelper;
 use PHPStan\Rules\Rule;
@@ -33,6 +34,7 @@ protected function getRule(): Rule
 					new ClassForbiddenNameCheck(self::getContainer()),
 				),
 				new UnresolvableTypeHelper(),
+				new GenericObjectTypeCheck(),
 				true,
 				true,
 				true,
@@ -137,6 +139,10 @@ public function testRule(): void
 				'Type alias A contains unresolvable type.',
 				95,
 			],
+			[
+				'Type alias A contains generic type Exception<int> but class Exception is not generic.',
+				103,
+			],
 		]);
 	}
 
diff --git a/tests/PHPStan/Rules/Classes/LocalTypeTraitAliasesRuleTest.php b/tests/PHPStan/Rules/Classes/LocalTypeTraitAliasesRuleTest.php
index 1f53ff745c..1501b40f79 100644
--- a/tests/PHPStan/Rules/Classes/LocalTypeTraitAliasesRuleTest.php
+++ b/tests/PHPStan/Rules/Classes/LocalTypeTraitAliasesRuleTest.php
@@ -6,6 +6,7 @@
 use PHPStan\Rules\ClassCaseSensitivityCheck;
 use PHPStan\Rules\ClassForbiddenNameCheck;
 use PHPStan\Rules\ClassNameCheck;
+use PHPStan\Rules\Generics\GenericObjectTypeCheck;
 use PHPStan\Rules\MissingTypehintCheck;
 use PHPStan\Rules\PhpDoc\UnresolvableTypeHelper;
 use PHPStan\Rules\Rule;
@@ -32,6 +33,7 @@ protected function getRule(): Rule
 					new ClassForbiddenNameCheck(self::getContainer()),
 				),
 				new UnresolvableTypeHelper(),
+				new GenericObjectTypeCheck(),
 				true,
 				true,
 				true,
diff --git a/tests/PHPStan/Rules/Classes/data/local-type-aliases.php b/tests/PHPStan/Rules/Classes/data/local-type-aliases.php
index 5aa52e9082..152e77d8d7 100644
--- a/tests/PHPStan/Rules/Classes/data/local-type-aliases.php
+++ b/tests/PHPStan/Rules/Classes/data/local-type-aliases.php
@@ -96,3 +96,11 @@ class UnresolvableExample
 {
 
 }
+
+/**
+ * @phpstan-type A = \Exception<int>
+ */
+class GenericsCheck
+{
+
+}