[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 570 from proof refine-unlink (previous step)

⟨if ino ∈ dirs then if dirs[ino].nlink = 0 then dirs := dirs -- ino else if files[ino].nlink = 0 then files := files -- ino⟩ (ESUCCESS = err2 ∧ dirs = dirs1 ∧ files = files1), # links(entries0[str], dirs0) = m + 1, # entries0 = m0 + 1, dirs0[ino1] = mkdir(m0 + 1, md0, # links(ino1, dirs0), m3, entries0), files0[entries0[str]] = mkfile(m1, md1, m + 1, content0), dirs = dirs1, err = ESUCCESS, files = files0[entries0[str], mkfile(m1, md1, m, content0)], ino = inode.ino, inode = getinode(entries0[str], dirs1, files), root.dir?, root[q].dir?, dom of < ino0, abs(root, ROOT_INO)(dirs0), afs-cons(dirs1, files1), afs-cons(dirs0, files0), fids-cons(root, abs-files(files0), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs0, files0), of-cons(of, dirs1, files1), of-cons(of, dirs0, files0), pw(user, md0), px(user, md0), px-parent(user, q, ROOT_INO, dirs0, files0), str ∈ entries0, entries0[str] ∈ files0, ino1 ∈ dirs0, dirs1 ≡ dirs0[ino1, mkdir(m0, md0, # links(ino1, dirs0), m3, entries0 -- str)], psynced → asynced0 ⊦ ⟨psynced := ?⟩ (abs-files(files0) = abs-files(files1) ∧ abs(root, ROOT_INO)(dirs1) ∧ (psynced → asynced)), # links(ino1, dirs0) = 0, entries0 = ∅, err2 = ESUCCESS, ino1 = ROOT_INO, links(ino1, dirs0) = ∅, root[q + str '].dir?, is-open(entries0[str], of), entries0[str] ∈ dirs1, ino1 ∈ dirs1, entries0[str] ∈ dirs0

Heuristic conditional left split applied rule if left

And obtained the following new goals

Rule argument

pos: left 1

Additional information