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Proof step 1 from proof path-split-one (conclusion)

⊦ ispath(p, n, m, dirs, files) ∧ dirs[m] = mkdir(n0, md, n, n1, entries) → (ispath(p + str ', n, entries[str], dirs, files) ↔ m ∈ dirs ∧ str ∈ entries ∧ (entries[str] ∈ files ∨ entries[str] ∈ dirs))

System applied rule normalize

And obtained the following new goals

Proof step 2:
dirs[m] = mkdir(n0, md, n, n1, entries), ispath(p, n, m, dirs, files) ⊦ ispath(p + str ', n, entries[str], dirs, files) ↔ m ∈ dirs ∧ str ∈ entries ∧ (entries[str] ∈ files ∨ entries[str] ∈ dirs)

Proof step 1 from proof path-split-one (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information