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Proof step 11 from proof links-modmeta (previous step)

(m1 = ino ⊃ mkdir(m, md, n, n0, entries);mkdir(m5, md2, m6, m7, entries1)) = mkdir(m2, md1, m3, m4, entries0), dirs[m1] = mkdir(m5, md2, m6, m7, entries1), dirs[ino] = mkdir(m0, md0, n1, n2, entries), m1 ∈ dirs, ino ∈ dirs ⊦ str ∈ entries0 ∧ ino0 = entries0[str] ↔ str ∈ entries1 ∧ ino0 = entries1[str]

Heuristic nonsplitting cut applied rule cut formula

And closed the goal!

Rule argument

fma: m1 = ino

Additional information

Used simplifier rules: ⊦ mkdir(m, md, m0, m1, entries) = mkdir(m2, md0, m3, m4, entries0) ↔ m = m2 ∧ md = md0 ∧ m0 = m3 ∧ m1 = m4 ∧ entries = entries0; (ws) Used formulas: m1 = ino