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Proof step 1 from proof links-putsame (conclusion)

⊦ p_ino ∈ dirs ∧ dirs[p_ino] = mkdir(m, md, n, n0, entries) ∧ ¬ str ∈ entries → links(ino, dirs[p_ino, mkdir(m0, md, n, n0, entries[str, ino])]) = links(ino, dirs) ++ mklink(p_ino, str)

System applied rule normalize

And obtained the following new goals

Proof step 2:
dirs[p_ino] = mkdir(m, md, n, n0, entries), p_ino ∈ dirs ⊦ links(ino, dirs[p_ino, mkdir(m0, md, n, n0, entries[str, ino])]) = links(ino, dirs) ++ mklink(p_ino, str), str ∈ entries

Proof step 1 from proof links-putsame (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information