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Proof step 210 from proof inv-write (previous step)

m1 + n1 = m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE + VFS_PAGE_SIZE, of[fd] = mkfile(m, mode, m0), files1[m] = mkfile(m1, md, # links(m, dirs), content0), buf = buf0, err = ESUCCESS, ino = (ino2 + ino0) % VFS_PAGE_SIZE, ino0 = ino4, ino1 = m0 + n0, ino2 = m0, inode = mkinode(m, md, false, # links(m, dirs), 0, m1), ¬ isdir, m1 = n2 + m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE, n = 0, n = min(ino1 - ino2 + ino0, VFS_PAGE_SIZE - ino), pageno = (ino2 + ino0) / VFS_PAGE_SIZE, dom of < ino3, afs-cons(dirs, files), afs-cons(dirs, files1), of-cons(of, dirs, files), of-cons(of, dirs, files1), m ∈ files1, m1 / VFS_PAGE_SIZE ∈ content0, fd ∈ of, n0 ≤ # buf0, n2 + n1 ≤ VFS_PAGE_SIZE, VFS_PAGE_SIZE ≥ ino, ino1 ≥ ino2 + ino0 ⊦ [isdir := true] (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), VFS_PAGE_SIZE = 0, n0 = 0, n2 = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ m + n - n + n1 = m - n1; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ VFS_PAGE_SIZE ≠ 0; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)%n ≠ 0 ⊦ m % n ≤ n; (s)% ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (s)