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Proof step 2 from proof links-delother-subdirs (previous step)

dirs[p_ino] = mkdir(m, md, n, n0, entries), p_ino ∈ dirs, str ∈ entries ⊦ entries[str] = ino, links(ino, dirs[p_ino, mkdir(m0, md, n, n1, entries -- str)]) = links(ino, dirs)

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: links-del-entry: ⊦ ino0 ∈ dirs → links(ino, dirs[ino0, mkdir(m, md, n0, n1, entries -- str)]) = (str ∈ entries ∧ entries[str] = ino ⊃ links(ino, dirs[ino0, mkdir(m, md, n0, n1, entries)]) -- mklink(ino0, str) ;links(ino, dirs[ino0, mkdir(m, md, n0, n1, entries)]) );%links-modmeta: ⊦ ino ∈ dirs ∧ dirs[ino] = mkdir(m0, md0, n1, n2, entries) → links(ino0, dirs[ino, mkdir(m, md, n, n0, entries)]) = links(ino0, dirs);