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Proof step 208 from proof inv-unlink (previous step)

dirs[ino1] = mkdir(m, md1, # links(ino1, dirs), m2, entries), files[entries[str]] = mkfile(m0, md, # links(entries[str], dirs), content), dom of < ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md1), px(user, md1), px-parent(user, q, ROOT_INO, dirs, files), str ∈ entries, entries[str] ∈ files, ino1 ∈ dirs, ¬ entries[str] ∈ dirs, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ [fail#(; ; err); asynced := ?] ⟪vfs_put_inode#(mkinode(entries[str], md, false, # links(entries[str], dirs), 0, m0), of, asynced; err, dirs, files)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files))

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 209:
files[entries[str]] = mkfile(m0, md, # links(entries[str], dirs), content), dirs[ino1] = mkdir(m, md1, # links(ino1, dirs), m2, entries), dom of < ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md1), px(user, md1), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, entries[str] ∈ files, str ∈ entries, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ [choose err0 with ⌊err0⌋ in err := err0; asynced := ?] ⟪vfs_put_inode#(mkinode(entries[str], md, false, # links(entries[str], dirs), 0, m0), of, asynced; err, dirs, files)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), entries[str] ∈ dirs

Rule argument

pos: right 1

Additional information

Used simplifier rules: fail#(; ; ERR){choose ERR0 with ⌊ERR0⌋ in ERR := ERR0};