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Proof step 7 from proof crash-neutral-create (previous step)

root.dir?, fids-cons(root, fs, ofh), posix-crash(root, fs, ofh, tree, fs0, ofh0) ⊦ pre-create(path, md, EFAIL, user, root, fs, ofh) ∧ ⟨err0 := EFAIL; if err0 = ESUCCESS then choose fid with ¬ fid ∈ fs in {root[path] := fnode(fid); fs[fid] := mkfile(md, mkbuf(0))}; psynced := ?⟩ (psynced ∧ posix-crash(root, fs, ofh, tree, fs0, ofh0)), ∃ err. pre-create(path, md, err, user, root, fs, ofh) ∧ ⟨err0 := err; if err0 = ESUCCESS then choose fid with ¬ fid ∈ fs in {root[path] := fnode(fid); fs[fid] := mkfile(md, mkbuf(0))}; psynced := ?⟩ (psynced ∧ posix-crash(root, fs, ofh, tree, fs0, ofh0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
root.dir?, fids-cons(root, fs, ofh), posix-crash(root, fs, ofh, tree, fs0, ofh0) ⊦ ∃ err. pre-create(path, md, err, user, root, fs, ofh) ∧ ⟨err0 := err; if err0 = ESUCCESS then choose fid with ¬ fid ∈ fs in {root[path] := fnode(fid); fs[fid] := mkfile(md, mkbuf(0))}; psynced := ?⟩ (psynced ∧ posix-crash(root, fs, ofh, tree, fs0, ofh0)), ⟨err0 := EFAIL; if err0 = ESUCCESS then choose fid with ¬ fid ∈ fs in {root[path] := fnode(fid); fs[fid] := mkfile(md, mkbuf(0))}; psynced := ?⟩ (psynced ∧ posix-crash(root, fs, ofh, tree, fs0, ofh0))

Rule argument

Additional information

Used simplifier rules: ⊦ pre-create(p, md, EFAIL, user, root, fs, ofh); (s)