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Proof step 7 from proof path-links-empty (previous step)

links(n, dirs) = ∅, ispath(p, ino, n, dirs, files), ino ∈ dirs ⊦ p = ε

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ p = ε ↔ ¬(∃ p0, str. p = p0 + str ')
Proof step 9:
links(n, dirs) = ∅, ispath(p, ino, n, dirs, files), ino ∈ dirs ⊦ ∀ p0, str. p ≠ p0 + str '

Rule argument

spec: list, inst: path name: lastdiv-rew seq: ⊦ p = ε ↔ ¬(∃ p0, str. p = p0 + str ') subst: [p] → [p] flags: <all paths>

Additional information

Used terms: p