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Proof step 7 from proof links-modmeta (previous step)

dirs[ino] = mkdir(m0, md0, n1, n2, entries), alink = mklink(m1, str), m1 ∈ dirs, ino ∈ dirs ⊦ str ∈ (m1 = ino ⊃ mkdir(m, md, n, n0, entries);dirs[m1]).entries ∧ ino0 = (m1 = ino ⊃ mkdir(m, md, n, n0, entries);dirs[m1]).entries[str] ↔ str ∈ dirs[m1].entries ∧ ino0 = dirs[m1].entries[str]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
dirs[ino] = mkdir(m0, md0, n1, n2, entries), ino ∈ dirs, m1 ∈ dirs ⊦ str ∈ (m1 = ino ⊃ mkdir(m, md, n, n0, entries);dirs[m1]).entries ∧ ino0 = (m1 = ino ⊃ mkdir(m, md, n, n0, entries);dirs[m1]).entries[str] ↔ str ∈ dirs[m1].entries ∧ ino0 = dirs[m1].entries[str]

Proof step 7 from proof links-modmeta (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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