catkin package CATKIN_DEPENDS question

edit

I have the following structure.

my_first_package exposes its headers:

catkin_package(
  INCLUDE_DIRS include
#  LIBRARIES 
#  CATKIN_DEPENDS
#  DEPENDS systemlib
)

my_second_package depends on my_first_package. In my_second_package's CMakeLists.txt my_first_package is stated as CATKIN_DEPENDS:

catkin_package(
  INCLUDE_DIRS include
#  LIBRARIES 
  CATKIN_DEPENDS my_first_package
#  DEPENDS systemlib
)

my_third_package depends on my_second_package. It is able to "see" headers and stuff of my_second_package and my_first_package. However, in my_third_package depends's CMakeLists.txt my_second_package is !!not!! stated as CATKIN_DEPENDS:

catkin_package(
  INCLUDE_DIRS include
#  LIBRARIES 
#  CATKIN_DEPENDS #NOTE: not set
#  DEPENDS systemlib
)

Now: Will my_fourth_package which depends on my_third_package be able to "see" headers and stuff of my_first_package?