Everywhere: Remove "LibC/" includes, add lint-rule against it

Userland/Libraries/LibC/bits/stdio_file_implementation.h

@@ -9,9 +9,9 @@
 #include <AK/Array.h>
 #include <AK/IntrusiveList.h>
 #include <AK/Types.h>
-#include <LibC/bits/FILE.h>
-#include <LibC/bits/pthread_integration.h>
-#include <LibC/bits/wchar.h>
+#include <bits/FILE.h>
+#include <bits/pthread_integration.h>
+#include <bits/wchar.h>
 #include <pthread.h>
 #include <sys/types.h>
 

Userland/Libraries/LibC/cxxabi.cpp

@@ -9,9 +9,9 @@
 #include <AK/Debug.h>
 #include <AK/Format.h>
 #include <AK/NeverDestroyed.h>
-#include <LibC/bits/pthread_integration.h>
-#include <LibC/mallocdefs.h>
 #include <assert.h>
+#include <bits/pthread_integration.h>
+#include <mallocdefs.h>
 #include <pthread.h>
 #include <stdio.h>
 #include <stdlib.h>

Userland/Libraries/LibC/ifaddrs.cpp

@@ -4,8 +4,8 @@
  * SPDX-License-Identifier: BSD-2-Clause
  */
 
-#include <LibC/errno.h>
-#include <LibC/ifaddrs.h>
+#include <errno.h>
+#include <ifaddrs.h>
 
 int getifaddrs(struct ifaddrs**)
 {

Userland/Libraries/LibC/math.cpp

@@ -16,7 +16,7 @@
 #include <AK/Math.h>
 #include <AK/Platform.h>
 #include <AK/StdLibExtras.h>
-#include <LibC/assert.h>
+#include <assert.h>
 #include <fenv.h>
 #include <math.h>
 #include <stdint.h>

Userland/Libraries/LibC/net.cpp

@@ -4,9 +4,9 @@
  * SPDX-License-Identifier: BSD-2-Clause
  */
 
-#include <LibC/errno.h>
-#include <LibC/net/if.h>
-#include <LibC/netinet/in.h>
+#include <errno.h>
+#include <net/if.h>
+#include <netinet/in.h>
 
 const in6_addr in6addr_any = IN6ADDR_ANY_INIT;
 const in6_addr in6addr_loopback = IN6ADDR_LOOPBACK_INIT;

Userland/Libraries/LibC/stdio.cpp

@@ -11,9 +11,9 @@
 #include <AK/PrintfImplementation.h>
 #include <AK/ScopedValueRollback.h>
 #include <AK/StdLibExtras.h>
-#include <LibC/bits/mutex_locker.h>
-#include <LibC/bits/stdio_file_implementation.h>
 #include <assert.h>
+#include <bits/mutex_locker.h>
+#include <bits/stdio_file_implementation.h>
 #include <errno.h>
 #include <fcntl.h>
 #include <stdarg.h>