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Proof step 122 from proof inv-rmdir (previous step)

dirs[ino1] = mkdir(m, md, # links(ino1, dirs), m1, entries), dirs[entries[str]] = mkdir(0, md0, # links(entries[str], dirs), m3, entries0), dent = mkdentry(str, entries[str]), err = ESUCCESS, inode = mkinode(ino1, md, true, # links(ino1, dirs), m1, m), p_inode = mkinode(entries[str], md0, true, # links(entries[str], dirs), m3, 0), entries[str] ≠ ROOT_INO, dom of < ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), entries[str] ∈ dirs, ino1 ∈ dirs, str ∈ entries, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪afs_rmdir#(; inode, p_inode, dent, err, dirs, files; asynced); vfs_put_inode#(p_inode, of, asynced; err, dirs, files)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files))

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: afs-asm name: inv-rmdir seq: afs-cons(dirs, files), pre-rmdir(p_inode, c_inode, dent, dirs, files) ⊦ ⟪afs_rmdir# (; p_inode, c_inode, dent, err, dirs, files; asynced)⟫ afs-cons(dirs, files) subst: [files, dirs, err, dent, c_inode, p_inode, asynced] → [files, dirs, err, dent, p_inode, inode, asynced] flags: <all paths>

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