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Proof step 2 from proof links-delother (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, n0, entries -- str)]) = links(ino, dirs)

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: links-delother-subdirs: ⊦ p_ino ∈ dirs ∧ dirs[p_ino] = mkdir(m, md, n, n0, entries) ∧ str ∈ entries ∧ entries[str] ≠ ino → links(ino, dirs[p_ino, mkdir(m0, md, n, n1, entries -- str)]) = links(ino, dirs);