| inode = mkinode(m0, md0, boolvar, m1, m2, m3), pageno = n, ((m0 =>mkfile(n0, md, m, σ) * F))(files), afs-cons(dirs, files), pre-readpage(inode, pageno, buf, dirs, files), pageno ∈ files[inode.ino].content ⊦ ⌊ESUCCESS⌋ , ESUCCESS = ESUCCESS ∧ ⌜files[inode.ino].content[pageno]⌝ = (σ from n * VFS_PAGE_SIZE) to VFS_PAGE_SIZE |
# buf = VFS_PAGE_SIZE, ((m0 =>mkfile(n0, md, m, σ) * F))(files), afs-cons(dirs, files), n ∈ files[m0].content, m0 ∈ files ⊦ ⌜files[m0].content[n]⌝ = (σ from n * VFS_PAGE_SIZE) to VFS_PAGE_SIZE
Used simplifier rules: ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)%⊦ pre-readpage(inode, n, buf, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ # buf = VFS_PAGE_SIZE; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)