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Proof step 2 from proof lastlink-rename (previous step)

# links(entries[str0], dirs) = 1, dirs[ino] = mkdir(m, md, n, n0, entries), ino ∈ dirs, str0 ∈ entries, str1 ∈ entries ⊦ entries[str0] = entries[str1] ↔ str0 = str1

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: lastlink-move: ⊦ # links(entries0[str0], dirs) = 1 ∧ ino0 ∈ dirs ∧ dirs[ino0] = mkdir(m0, md0, n0, n2, entries0) ∧ ino1 ∈ dirs ∧ dirs[ino1] = mkdir(m1, md1, n1, n3, entries1) ∧ str0 ∈ entries0 ∧ str1 ∈ entries1 → (entries0[str0] = entries1[str1] ↔ str0 = str1 ∧ ino0 = ino1);