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Proof step 2 from proof links-delsame (previous step)

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

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

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