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Proof step 111 from proof refine-readdir (previous step)

dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), root.dir?, root[path].dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pr(user, md), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ dirs, ⌊err2⌋ , psynced → asynced ⊦ pre-readdir(path, err2, user, root, abs-files(files), abs-of(of)) ∧ ⟨err0 := err2; if err0 = ESUCCESS then strings := dom root[path].entries else strings := ?⟩ ((psynced → asynced) ∧ strings0 = strings ∧ err2 = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 112:
dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), root[path].dir?, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pr(user, md), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ dirs, ⌊err2⌋ , psynced → asynced ⊦ ⟨err0 := err2; if err0 = ESUCCESS then strings := dom root[path].entries else strings := ?⟩ ((psynced → asynced) ∧ strings0 = strings ∧ err2 = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → pre-readdir(p, err, user, root, fs, ofh); (s)