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Proof step 8 from proof crash-neutral-fsync (previous step)

root.dir?, fids-cons(root, fs, ofh), posix-crash(root, fs, ofh, tree, fs0, ofh0) ⊦ pre-fsync(path, psynced0, EFAIL, user, root, fs, ofh) ∧ ⟨err := EFAIL; psynced := ?⟩ psynced, ∃ err0. pre-fsync(path, psynced0, err0, user, root, fs, ofh) ∧ ⟨err := err0; psynced := ?⟩ psynced

Heuristic dl case distinction applied rule case distinction

And obtained the following new goals

Proof step 9:
root.dir?, fids-cons(root, fs, ofh), posix-crash(root, fs, ofh, tree, fs0, ofh0) ⊦ ∃ err0. pre-fsync(path, psynced0, err0, user, root, fs, ofh) ∧ ⟨err := err0; psynced := ?⟩ psynced, pre-fsync(path, psynced0, EFAIL, user, root, fs, ofh)
Proof step 12:
root.dir?, fids-cons(root, fs, ofh), posix-crash(root, fs, ofh, tree, fs0, ofh0) ⊦ ⟨err := EFAIL; psynced := ?⟩ psynced, ∃ err0. pre-fsync(path, psynced0, err0, user, root, fs, ofh) ∧ ⟨err := err0; psynced := ?⟩ psynced

Rule argument

pos: right 1

Proof step 8 from proof crash-neutral-fsync (previous step)

Heuristic dl case distinction applied rule case distinction

And obtained the following new goals

Rule argument

Additional information