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Proof step 6 from proof path-lookup (previous step)

dirs[n] = mkdir(m0, md, m1, m2, entries), ispath(p0, entries[name], m, dirs, files), name ∈ entries, n ∈ dirs, ∀ n, m, dirs, files. ispath(p0, n, m, dirs, files) → lookup(p0, n, dirs, files) = m ⊦ lookup(p0, entries[name], dirs, files) = m

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 5 terms: entries[name], m, dirs, files

Additional information

Used terms: entries[name], m, dirs, files