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

dirs0[n0] = mkdir(m, md, m0, m1, entries), ispath(p0, entries[name], n1, dirs0, files), name ∈ entries, n0 ∈ dirs0, dirs0 ⊥ dirs1, ∀ n0, n1, dirs0, files, dirs1. ispath(p0, n0, n1, dirs0, files) ∧ dirs0 ⊥ dirs1 → ispath(p0, n0, n1, dirs0 ∪ dirs1, files) ⊦ ispath(p0, entries[name], n1, dirs0 ∪ dirs1, files)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 6 terms: entries[name], n1, dirs0, files, dirs1

Additional information

Used terms: entries[name], n1, dirs0, files, dirs1