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Proof step 310 from proof inv-write (previous step)

m1 + n1 = m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE + VFS_PAGE_SIZE, files1[m] = mkfile(m1, md, # links(m, dirs), content0), of[fd] = mkfile(m, mode, m0), m1 = n2 + m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE, dom of < ino3, afs-cons(dirs, files1), afs-cons(dirs, files), of-cons(of, dirs, files1), of-cons(of, dirs, files), fd ∈ of, m1 / VFS_PAGE_SIZE ∈ content0, m ∈ files1, n0 ∈ of[fd, mkfile(m, mode, m0 + ino4)], n0 ∈ of, of[n0].ino ∈ files1, m1 % VFS_PAGE_SIZE + n1 ≤ VFS_PAGE_SIZE, n2 + n1 ≤ VFS_PAGE_SIZE, n ≤ # buf0, m0 + ino4 ≤ m1 ⊦ ino4 = 0, n = 0, n2 = 0, of[fd, mkfile(m, mode, m0 + ino4)][n0].ino ∈ files, mode ≠ MODE_W ∧ mode ≠ MODE_RW, err1 = ESUCCESS ∧ ¬ isdir

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 311:
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), of[n0] = mkfile(m2, mode0, m3), m1 = n2 + m1 / VFS_PAGE_SIZE * VFS_PAGE_SIZE, dom of < ino3, afs-cons(dirs, files), afs-cons(dirs, files1), of-cons(of, dirs, files), of-cons(of, dirs, files1), m2 ∈ files1, n0 ∈ of, n0 ∈ of[fd, mkfile(m, mode, m0 + ino4)], m ∈ files1, m1 / VFS_PAGE_SIZE ∈ content0, fd ∈ of, m0 + ino4 ≤ m1, n ≤ # buf0, n2 + n1 ≤ VFS_PAGE_SIZE, m1 % VFS_PAGE_SIZE + n1 ≤ VFS_PAGE_SIZE ⊦ ino4 = 0, n = 0, n2 = 0, of[fd, mkfile(m, mode, m0 + ino4)][n0].ino ∈ files, err1 = ESUCCESS ∧ ¬ isdir, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Rule argument

spec: file name: elim seq: ⊦ (m = file.ino ∧ mode = file.mode) ∧ m0 = file.pos ↔ file = mkfile(m, mode, m0) subst: [file, m, mode, m0] → [of[n0], m2, mode0, m3]

Additional information

Used simplifier rules: ⊦ (m = file.ino ∧ mode = file.mode) ∧ m0 = file.pos ↔ file = mkfile(m, mode, m0); (elim) Used terms: of[n0], m2, mode0, m3