diff --git a/src/Analyser/NodeScopeResolver.php b/src/Analyser/NodeScopeResolver.php
index 8a807ea745..c267e716cb 100644
--- a/src/Analyser/NodeScopeResolver.php
+++ b/src/Analyser/NodeScopeResolver.php
@@ -6776,14 +6776,19 @@ private function unwrapAssign(Expr $expr): Expr
 	private function processSureTypesForConditionalExpressionsAfterAssign(Scope $scope, string $variableName, array $conditionalExpressions, SpecifiedTypes $specifiedTypes, Type $variableType): array
 	{
 		foreach ($specifiedTypes->getSureTypes() as $exprString => [$expr, $exprType]) {
-			if (!$expr instanceof Variable) {
-				continue;
-			}
-			if (!is_string($expr->name)) {
-				continue;
-			}
+			if ($expr instanceof Variable) {
+				if (!is_string($expr->name)) {
+					continue;
+				}
 
-			if ($expr->name === $variableName) {
+				if ($expr->name === $variableName) {
+					continue;
+				}
+			} elseif (
+				!$expr instanceof PropertyFetch
+				&& !$expr instanceof ArrayDimFetch
+				&& !$expr instanceof StaticPropertyFetch
+			) {
 				continue;
 			}
 
@@ -6810,14 +6815,19 @@ private function processSureTypesForConditionalExpressionsAfterAssign(Scope $sco
 	private function processSureNotTypesForConditionalExpressionsAfterAssign(Scope $scope, string $variableName, array $conditionalExpressions, SpecifiedTypes $specifiedTypes, Type $variableType): array
 	{
 		foreach ($specifiedTypes->getSureNotTypes() as $exprString => [$expr, $exprType]) {
-			if (!$expr instanceof Variable) {
-				continue;
-			}
-			if (!is_string($expr->name)) {
-				continue;
-			}
+			if ($expr instanceof Variable) {
+				if (!is_string($expr->name)) {
+					continue;
+				}
 
-			if ($expr->name === $variableName) {
+				if ($expr->name === $variableName) {
+					continue;
+				}
+			} elseif (
+				!$expr instanceof PropertyFetch
+				&& !$expr instanceof ArrayDimFetch
+				&& !$expr instanceof StaticPropertyFetch
+			) {
 				continue;
 			}
 
diff --git a/tests/PHPStan/Analyser/nsrt/bug-10040.php b/tests/PHPStan/Analyser/nsrt/bug-10040.php
new file mode 100644
index 0000000000..35b30ac80e
--- /dev/null
+++ b/tests/PHPStan/Analyser/nsrt/bug-10040.php
@@ -0,0 +1,34 @@
+<?php declare(strict_types = 1); // lint >= 8.0
+
+namespace Bug10040;
+
+use function PHPStan\Testing\assertType;
+
+class A
+{
+	public string|null $foo;
+}
+
+/**
+ * @phpstan-assert-if-true !null $a->foo
+ */
+function assertStringNotNull(A $a): bool
+{
+	return true;
+}
+
+$a1 = new A();
+if(assertStringNotNull($a1)){
+	assertType('string', $a1->foo);
+}
+
+$a2 = new A();
+$stringIsNotNull = assertStringNotNull($a2);
+if($stringIsNotNull){
+	assertType('string', $a2->foo);
+}
+
+$a3 = new A();
+if($stringIsNotNull = assertStringNotNull($a3)){
+	assertType('string', $a3->foo);
+}
diff --git a/tests/PHPStan/Analyser/nsrt/bug-11102.php b/tests/PHPStan/Analyser/nsrt/bug-11102.php
new file mode 100644
index 0000000000..0f32d86399
--- /dev/null
+++ b/tests/PHPStan/Analyser/nsrt/bug-11102.php
@@ -0,0 +1,15 @@
+<?php declare(strict_types = 1);
+
+namespace Bug11102;
+
+use DateTime;
+use function PHPStan\Testing\assertType;
+
+/** @var array{'start': DateTime|null} $details */
+$details = ['start' => null];
+
+$startIsADateTime = $details['start'] instanceof DateTime;
+
+if ($startIsADateTime) {
+	assertType('DateTime', $details['start']);
+}
diff --git a/tests/PHPStan/Analyser/nsrt/bug-11870.php b/tests/PHPStan/Analyser/nsrt/bug-11870.php
new file mode 100644
index 0000000000..04727d679b
--- /dev/null
+++ b/tests/PHPStan/Analyser/nsrt/bug-11870.php
@@ -0,0 +1,14 @@
+<?php declare(strict_types = 1);
+
+namespace Bug11870;
+
+use function PHPStan\Testing\assertType;
+
+function () {
+	assert(isset($v) && is_array($v) && isset($v['LANGUAGE']));
+
+	$language = $v['LANGUAGE'] !== 1 ? 'en' : '';
+	if ($language !== '') {
+		assertType('true', $v['LANGUAGE'] !== 1);
+	}
+};
diff --git a/tests/PHPStan/Analyser/nsrt/bug-6120.php b/tests/PHPStan/Analyser/nsrt/bug-6120.php
new file mode 100644
index 0000000000..1833f550e6
--- /dev/null
+++ b/tests/PHPStan/Analyser/nsrt/bug-6120.php
@@ -0,0 +1,27 @@
+<?php declare(strict_types = 1); // lint >= 8.0
+
+namespace Bug6120;
+
+use Generator;
+use function PHPStan\Testing\assertType;
+
+class HelloWorld
+{
+	/**
+	 * @var Generator<int, string> $gen
+	 */
+	private ?Generator $gen = null;
+
+	public function setGenerator(Generator $gen): void {
+		$this->gen = $gen;
+	}
+
+	public function sayHello(): void
+	{
+		while ($v = $this->gen?->current()) {
+			assertType('Generator<int, string, mixed, mixed>', $this->gen);
+			echo $v;
+			$this->gen->next();
+		}
+	}
+}
diff --git a/tests/PHPStan/Analyser/nsrt/bug-6991.php b/tests/PHPStan/Analyser/nsrt/bug-6991.php
new file mode 100644
index 0000000000..4b6248aa2b
--- /dev/null
+++ b/tests/PHPStan/Analyser/nsrt/bug-6991.php
@@ -0,0 +1,29 @@
+<?php declare(strict_types = 1); // lint >= 8.0
+
+namespace Bug6991;
+
+use function PHPStan\Testing\assertType;
+
+class HelloWorld
+{
+	public int $more = 1;
+
+	public ?string $key = null;
+}
+
+class Other {
+	public ?HelloWorld $optional = null;
+}
+
+function test(Other $object): int
+{
+	$key = $object->optional?->key;
+
+	if (!$key) {
+		return 0;
+	}
+
+	assertType('Bug6991\HelloWorld', $object->optional);
+
+	return $object->optional->more * 100;
+}
diff --git a/tests/PHPStan/Analyser/nsrt/bug-7716.php b/tests/PHPStan/Analyser/nsrt/bug-7716.php
new file mode 100644
index 0000000000..7551bf69de
--- /dev/null
+++ b/tests/PHPStan/Analyser/nsrt/bug-7716.php
@@ -0,0 +1,50 @@
+<?php declare(strict_types = 1);
+
+namespace Bug7716;
+
+use function PHPStan\Testing\assertType;
+
+class HelloWorld
+{
+	/**
+	 * @param array{foo?: int, bar?: int} $array
+	 */
+	public function sayHello(array $array): int
+	{
+		$hasFoo = isset($array['foo']) && $array['foo'] > 1;
+		$hasBar = isset($array['bar']) && $array['bar'] > 1;
+
+		if ($hasFoo) {
+			assertType('int<2, max>', $array['foo']);
+			return $array['foo'];
+		}
+
+		if ($hasBar) {
+			assertType('int<2, max>', $array['bar']);
+			return $array['bar'];
+		}
+
+		return 0;
+	}
+
+	/**
+	 * @param array{foo?: int, bar?: int} $array
+	 */
+	public function sayHello2(array $array): int
+	{
+		$hasBar = isset($array['bar']) && $array['bar'] > 1;
+		$hasFoo = isset($array['foo']) && $array['foo'] > 1;
+
+		if ($hasFoo) {
+			assertType('int<2, max>', $array['foo']);
+			return $array['foo'];
+		}
+
+		if ($hasBar) {
+			assertType('int<2, max>', $array['bar']);
+			return $array['bar'];
+		}
+
+		return 0;
+	}
+}
diff --git a/tests/PHPStan/Rules/Arrays/NonexistentOffsetInArrayDimFetchRuleTest.php b/tests/PHPStan/Rules/Arrays/NonexistentOffsetInArrayDimFetchRuleTest.php
index 879c86f791..a641163fe1 100644
--- a/tests/PHPStan/Rules/Arrays/NonexistentOffsetInArrayDimFetchRuleTest.php
+++ b/tests/PHPStan/Rules/Arrays/NonexistentOffsetInArrayDimFetchRuleTest.php
@@ -1038,6 +1038,13 @@ public function testBug12574b(): void
 		$this->analyse([__DIR__ . '/data/bug-12574b.php'], []);
 	}
 
+	public function testBug12574c(): void
+	{
+		$this->reportPossiblyNonexistentGeneralArrayOffset = true;
+
+		$this->analyse([__DIR__ . '/data/bug-12574c.php'], []);
+	}
+
 	public function testBug12926(): void
 	{
 		$this->reportPossiblyNonexistentGeneralArrayOffset = true;
diff --git a/tests/PHPStan/Rules/Arrays/data/bug-12574c.php b/tests/PHPStan/Rules/Arrays/data/bug-12574c.php
new file mode 100644
index 0000000000..ec949ff2cc
--- /dev/null
+++ b/tests/PHPStan/Rules/Arrays/data/bug-12574c.php
@@ -0,0 +1,32 @@
+<?php declare(strict_types = 1);
+
+namespace Bug12574c;
+
+class Galaxy
+{
+	/** @var list<World> $worlds */
+	public array $worlds = [];
+}
+
+class World
+{
+	public int $x = 1;
+}
+
+
+function hello(Galaxy $a): void
+{
+	$notEmpty = isset($a->worlds[0]);
+	if ($notEmpty && $a->worlds[0]->x === 1) {
+		echo 'hello';
+	}
+}
+
+function hello2(Galaxy $a): void
+{
+	$worlds = $a->worlds;
+	$notEmpty = isset($worlds[0]);
+	if ($notEmpty && $worlds[0]->x === 1) {
+		echo 'hello';
+	}
+}