pycparser: parse back c file - c

Question

i'm trying to learn how to use pycparser and during my practice I encontured this problem.
Basically I have a C file with system header like #include <stdio.h> and #include <stdlib.h> and I want to analyze it through the pycparser ast tree.
I succeded in using the fake headers so i could parse the file but then i got this problem: the ast now contains a lot of typedef and doesn't contain the real headers, so after I print the ast in a file to have my c code back, it can't compile because the real headers are missing.
For example this file:
#include <stdlib.h>
#include <stdio.h>
typedef struct {
//my struct
} NODE;
int main() {
//do stuff
return 0;
}
becomes this:
typedef int size_t;
typedef int __builtin_va_list;
typedef int __gnuc_va_list;
typedef int va_list;
typedef int __int8_t;
....
typedef int __uint64_t;
typedef int __int_least32_t;
typedef int __uint_least32_t;
....
typedef struct xcb_connection_t xcb_connection_t;
typedef uint32_t xcb_window_t;
typedef uint32_t xcb_visualid_t;
//a lot of typedef
typedef struct {
//my struct
} NODE;
int main() {
//do stuff
return 0;
}
Doing my research i saw that #include <stdlib.h> contains the following lines:
#include "_fake_defines.h"
#include "_fake_typedefs.h"
and those headers contain all the typedef that appear in my file.
Is there a way to print back the c code with the real headers?