/usr/lib/gcc-cross/arm-linux-gnueabi/5/include/ is in libobjc-5-dev-armel-cross 5.3.1-14ubuntu2cross1.
This file is owned by root:root, with mode 0o755.
..
/usr/lib/gcc-cross/arm-linux-gnueabi/5/include/objc/
/usr/lib/gcc-cross/arm-linux-gnueabi/5/include/objc/NXConstStr.h
/usr/lib/gcc-cross/arm-linux-gnueabi/5/include/objc/Object.h
/usr/lib/gcc-cross/arm-linux-gnueabi/5/include/objc/Protocol.h
/usr/lib/gcc-cross/arm-linux-gnueabi/5/include/objc/message.h
/usr/lib/gcc-cross/arm-linux-gnueabi/5/include/objc/objc-decls.h
/usr/lib/gcc-cross/arm-linux-gnueabi/5/include/objc/objc-exception.h
/usr/lib/gcc-cross/arm-linux-gnueabi/5/include/objc/objc-sync.h
/usr/lib/gcc-cross/arm-linux-gnueabi/5/include/objc/objc.h
/usr/lib/gcc-cross/arm-linux-gnueabi/5/include/objc/runtime.h
/usr/lib/gcc-cross/arm-linux-gnueabi/5/include/objc/thr.h