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Proof step 12 from proof inv-recover (previous step)

tree.dir?, fids-cons(tree, fs1, ofh1), posix-crash(tree, fs1, ofh1, root, fs0, ofh0) ⊦ root.dir? ∧ fids-cons(root, fs0, ofh0)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: posix-base name: posix-crash seq: ⊦ posix-crash(tree0, fs0, ofh0, tree1, fs1, ofh1) ↔ ofh1 = ∅ ∧ tree1 = tree0 ∧ (∀ fid. fid ∈ fs1 ↔ fid ∈ tree1.fids ∧ fid ∈ fs0) ∧ (∀ fid. fid ∈ fs1 → fs1[fid] = fs0[fid]) subst: [ofh1, fs1, tree1, ofh0, fs0, tree0] → [ofh0, fs0, root, ofh1, fs1, tree] flags: <all paths>

Additional information

Used terms: ofh0, fs0, root, ofh1, fs1, tree