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Proof step 286 from proof afs-cons-rename-file-dentry (previous step)

# links(entries[str], dirs) = files[entries[str]].nlink, # links(m0, dirs) = dirs[m0].nlink, # links(m, dirs) = dirs[m].nlink, # links(entries0[str0], dirs) = m3, dirs[m] = mkdir(dirs[m].size, md5, dirs[m].nlink, dirs[m].nsubdirs, entries), files[entries[str]] = mkfile(m1, md3, files[entries[str]].nlink, content), files[entries0[str0]] = mkfile(m4, md4, m3, content0), dirs[m0] = mkdir(dirs[m0].size, md6, dirs[m0].nlink, dirs[m0].nsubdirs, entries0), entries[str] = dirs[m].entries[str], entries0[str0] = dirs[m0].entries[str0], files[entries0[str0]] = mkfile(m2, md, m3, content1), afs-cons(dirs, files), str ∈ entries, str0 ∈ entries0, m ∈ dirs, m0 ∈ dirs, entries[str] ∈ files, entries0[str0] ∈ files, str ∈ dirs[m].entries, str0 ∈ dirs[m0].entries, m = m0 → md1 = md2, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO, links(m0, dirs) ≠ ∅ ∨ m0 = ROOT_INO ⊦ ⟪fail#(; ; err); asynced := ?⟫ true, entries[str] ∈ dirs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 287:
# links(m, dirs) = dirs[m].nlink, # links(m0, dirs) = dirs[m0].nlink, # links(entries[str], dirs) = files[entries[str]].nlink, entries0[str0] = dirs[m0].entries[str0], entries[str] = dirs[m].entries[str], dirs[m0] = mkdir(dirs[m0].size, md6, dirs[m0].nlink, dirs[m0].nsubdirs, entries0), files[entries0[str0]] = mkfile(m2, md, # links(entries0[str0], dirs), content1), files[entries[str]] = mkfile(m1, md3, files[entries[str]].nlink, content), dirs[m] = mkdir(dirs[m].size, md5, dirs[m].nlink, dirs[m].nsubdirs, entries), afs-cons(dirs, files), str0 ∈ dirs[m0].entries, str ∈ dirs[m].entries, entries0[str0] ∈ files, entries[str] ∈ files, m0 ∈ dirs, m ∈ dirs, str0 ∈ entries0, str ∈ entries, ¬ entries[str] ∈ dirs, m = m0 → md1 = md2, links(m0, dirs) ≠ ∅ ∨ m0 = ROOT_INO, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪fail#(; ; err); asynced := ?⟫ true

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content) = mkfile(m1, md0, m2, content0) ↔ m = m1 ∧ md = md0 ∧ m0 = m2 ∧ content = content0; (ws)