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Proof step 54 from proof refine-readdir (previous step)

dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), strings = strings0, 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), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ dirs, ¬ pr(user, md), psynced → asynced ⊦ ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings0, err0)⟩ ((psynced → asynced) ∧ strings = strings0 ∧ EACCESS = err0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 55:
dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), fs = abs-files(files), ofh = abs-of(of), strings = strings0, strings1 = strings0, 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), px-parent(user, path, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced ⊦ ⟨choose err with pre-readdir(path, err, user, root, fs, ofh) in err0 := err; if err0 = ESUCCESS then strings := dom root[path].entries else strings := ?⟩ ((psynced → asynced) ∧ strings1 = strings ∧ EACCESS = err0), pr(user, md)

Rule argument

pos: right 1

Additional information

Used simplifier rules: posix_readdir#(PATH, USER, ROOT, FS, OFH; NAMES, ERR) {choose E with pre-readdir(PATH, E, USER, ROOT, FS, OFH) in ERR := E; if ERR = ESUCCESS then NAMES := dom ROOT[PATH].entries else NAMES := ? };