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Proof step 5 from proof crash-exists (previous step)

∀ fid. fid ∈ fs → fs[fid] = fs0[fid], ∀ fid. fid ∈ fs ↔ fid ∈ tree0.fids ∧ fid ∈ fs0 ⊦ posix-crash(tree0, fs0, ofh0, tree0, fs, ∅)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> 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] → [∅, fs, tree0, ofh0, fs0, tree0] flags: <all paths>

Additional information

Used terms: ∅, fs, tree0, ofh0, fs0, tree0