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Proof step 70 from proof refine-mkdir (previous step)

dirs[ino1] = mkdir(# entries, md0, # links(ino1, dirs), m1, entries), root.dir?, root[q].dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced, ¬ px(user, md0) ∨ ¬ pw(user, md0) ⊦ ∃ err. pre-mkdir(q + str ', md, err, user, root, abs-files(files), abs-of(of)) ∧ ⟨err0 := err; if err0 = ESUCCESS then root[q + str '] := dnode(md, ∅); psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ EACCESS = err0)

User applied rule exists right

And obtained the following new goals

Proof step 71:
dirs[ino1] = mkdir(# entries, md0, # links(ino1, dirs), m1, entries), root[q].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(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, psynced → asynced, ¬ px(user, md0) ∨ ¬ pw(user, md0) ⊦ pre-mkdir(q + str ', md, EACCESS, user, root, abs-files(files), abs-of(of)) ∧ ⟨err0 := EACCESS; if err0 = ESUCCESS then root[q + str '] := dnode(md, ∅); psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ EACCESS = err0)

Rule argument

pos: right 1 terms: EACCESS abort: F discard: T computed: F

Additional information

Used terms: EACCESS