[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 551 from proof inv-write (previous step)

files[m] = mkfile(m2, md0, # links(m, dirs), content), of[fd] = mkfile(m, mode, m0), files0[m] = mkfile(m1, md, # links(m, dirs), content0), m1 < m0 + ino4, dom of < ino3, afs-cons(dirs, files), afs-cons(dirs, files0), of-cons(of, dirs, files), of-cons(of, dirs, files0), m ∈ files0, fd ∈ of, m ∈ files, n ≤ # buf0, ⌊err0⌋ ⊦ [if err0 ≠ ESUCCESS then ino4 := (m0 ≤ m1 ⊃ m1 - m0;0), err2 := ESUCCESS; of[fd].pos := m0 + ino4] (of-cons(of, dirs, files) ∧ dom of < ino3), ino4 = 0, n = 0, err1 = ESUCCESS ∧ ¬ isdir, m1 % VFS_PAGE_SIZE ≠ 0 ∧ m1 / VFS_PAGE_SIZE ∈ content0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 552:
files0[m] = mkfile(m1, md, # links(m, dirs), content0), of[fd] = mkfile(m, mode, m0), files[m] = mkfile(m2, md0, # links(m, dirs), content), dom of < ino3, m1 < m0 + ino4, afs-cons(dirs, files0), afs-cons(dirs, files), of-cons(of, dirs, files0), of-cons(of, dirs, files), m ∈ files, fd ∈ of, m ∈ files0, n ≤ # buf0, ⌊err0⌋ ⊦ [ino4 := (m0 ≤ m1 ⊃ m1 - m0;0), err2 := ESUCCESS; of[fd].pos := m0 + ino4] (of-cons(of, dirs, files) ∧ dom of < ino3), ino4 = 0, n = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW, m1 % VFS_PAGE_SIZE ≠ 0 ∧ m1 / VFS_PAGE_SIZE ∈ content0, err1 = ESUCCESS ∧ ¬ isdir

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)