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Proof step 141 from proof inv-unlink (previous step)

dirs[ino1] = mkdir(m, md, # links(ino1, dirs), m1, entries), dent = mkdentry(str, entries[str]), err = ESUCCESS, inode = mkinode(ino1, md, true, # links(ino1, dirs), m1, m), p_inode = mkinode(entries[str], files[entries[str]].meta, false, files[entries[str]].nlink, 0, files[entries[str]].size), 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), ino1 ∈ dirs, entries[str] ∈ files, str ∈ entries, ¬ entries[str] ∈ dirs, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪afs_unlink#(; 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))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 142:
dirs[ino1] = mkdir(m, md, # links(ino1, dirs), m1, entries), files[entries[str]] = mkfile(m0, md0, m2, content), dent = mkdentry(str, entries[str]), err = ESUCCESS, inode = mkinode(ino1, md, true, # links(ino1, dirs), m1, m), p_inode = mkinode(entries[str], md0, false, m2, 0, m0), 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), str ∈ entries, entries[str] ∈ files, ino1 ∈ dirs, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟪afs_unlink#(; 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)), entries[str] ∈ dirs

Rule argument

spec: abstract-file name: elim seq: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content) subst: [af, m, md, m0, content] → [files[entries[str]], m0, md0, m2, content]

Additional information

Used simplifier rules: ⊦ ((m = af.size ∧ md = af.meta) ∧ m0 = af.nlink) ∧ content = af.content ↔ af = mkfile(m, md, m0, content); (elim) Used terms: files[entries[str]], m0, md0, m2, content