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Proof step 79 from proof crash-neutral-link (previous step)

# links(entries0[str], dirs) = files[entries0[str]].nlink, # links(m, dirs) = dirs[m].nlink, entries0[str] = dirs[ino0].entries[str], dirs[ino] = mkdir(m4, md3, # links(ino, dirs), m6, entries0), dirs[m] = mkdir(dirs[m].size, md1, dirs[m].nlink, dirs[m].nsubdirs, entries), files[entries0[str]] = mkfile(m1, md2, files[entries0[str]].nlink, content), p_ino = m, mkdentry(str, entries0[str]).dentry?, afs-cons(dirs, files), str ∈ dirs[ino0].entries, ino0 ∈ dirs, entries0[str] ∈ files, m ∈ dirs, str ∈ entries0, ino ∈ dirs, links(ino0, dirs) ≠ ∅ ∨ ino0 = ROOT_INO, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO, links(ino, dirs) ≠ ∅ ∨ ino = ROOT_INO ⊦ ⟨fail#(; ; err); asynced := ?⟩ asynced, str0 ∈ entries, str0 ∈ dirs[m].entries, mkdentry(str, entries0[str]).dentry? ∧ str ∈ entries0

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ mkdentry(str, m).dentry?; (s)