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Proof step 7 from proof links-inc-nsubdirs (previous step)

alink = mklink(m, str), m ∈ dirs, p_ino ∈ dirs ⊦ str ∈ (m = p_ino ⊃ mkdir(m0, md, n0, n1 + 1, entries);dirs[m]).entries ∧ ino = (m = p_ino ⊃ mkdir(m0, md, n0, n1 + 1, entries);dirs[m]).entries[str] ↔ str ∈ (m = p_ino ⊃ mkdir(m0, md, n0, n1, entries);dirs[m]).entries ∧ ino = (m = p_ino ⊃ mkdir(m0, md, n0, n1, entries);dirs[m]).entries[str]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
p_ino ∈ dirs, m ∈ dirs ⊦ str ∈ (m = p_ino ⊃ mkdir(m0, md, n0, n1 + 1, entries);dirs[m]).entries ∧ ino = (m = p_ino ⊃ mkdir(m0, md, n0, n1 + 1, entries);dirs[m]).entries[str] ↔ str ∈ (m = p_ino ⊃ mkdir(m0, md, n0, n1, entries);dirs[m]).entries ∧ ino = (m = p_ino ⊃ mkdir(m0, md, n0, n1, entries);dirs[m]).entries[str]

Proof step 7 from proof links-inc-nsubdirs (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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