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Proof step 530 from proof inv-write (previous step)

files[m] = mkfile(m2, md0, # links(m, dirs), content), files0[m] = mkfile(m1, md, # links(m, dirs), content0), of[fd] = mkfile(m, mode, m0), dom of < ino3, m1 < m0 + ino4, afs-cons(dirs, files0), afs-cons(dirs, files), of-cons(of, dirs, files0), of-cons(of, dirs, files), n0 ∈ of[fd, mkfile(m, mode, m0 + ino4)], m ∈ files, fd ∈ of, m ∈ files0, n0 ∈ of, of[n0].ino ∈ files0, n ≤ # buf0 ⊦ ino4 = 0, n = 0, of[fd, mkfile(m, mode, m0 + ino4)][n0].ino ∈ files, mode ≠ MODE_W ∧ mode ≠ MODE_RW, m1 % VFS_PAGE_SIZE ≠ 0 ∧ m1 / VFS_PAGE_SIZE ∈ content0, err1 = ESUCCESS ∧ ¬ isdir

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 531:
of[fd] = mkfile(m, mode, m0), files0[m] = mkfile(m1, md, # links(m, dirs), content0), files[m] = mkfile(m2, md0, # links(m, dirs), content), of[n0] = mkfile(m3, mode0, m4), m1 < m0 + ino4, dom of < ino3, afs-cons(dirs, files), afs-cons(dirs, files0), of-cons(of, dirs, files), of-cons(of, dirs, files0), m3 ∈ files0, n0 ∈ of, m ∈ files0, fd ∈ of, m ∈ files, n0 ∈ of[fd, mkfile(m, mode, m0 + ino4)], n ≤ # buf0 ⊦ ino4 = 0, n = 0, of[fd, mkfile(m, mode, m0 + ino4)][n0].ino ∈ files, err1 = ESUCCESS ∧ ¬ isdir, m1 % VFS_PAGE_SIZE ≠ 0 ∧ m1 / VFS_PAGE_SIZE ∈ content0, 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], m3, mode0, m4]

Additional information

Used simplifier rules: ⊦ (m = file.ino ∧ mode = file.mode) ∧ m0 = file.pos ↔ file = mkfile(m, mode, m0); (elim) Used terms: of[n0], m3, mode0, m4