/usr/lib/petscdir/3.4.2/include/finclude/petsc.h is in libpetsc3.4.2-dev 3.4.2.dfsg1-8.1+b1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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! Single Fortran include file for all of PETSc
!
#include "finclude/petscsys.h"
#include "finclude/petscdraw.h"
#include "finclude/petscviewer.h"
#include "finclude/petscis.h"
#include "finclude/petscvec.h"
#include "finclude/petscmat.h"
#include "finclude/petscpc.h"
#include "finclude/petscksp.h"
#include "finclude/petscsnes.h"
#include "finclude/petscdm.h"
#include "finclude/petscdmda.h"
#include "finclude/petscdmplex.h"
!#include "finclude/petscdmadda.h"
!#include "finclude/petscdmcomposite.h"
#include "finclude/petscdmmesh.h"
!#include "finclude/petscdmsliced.h"
#include "finclude/petscts.h"
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