| root.dir?, fids-cons(root, fs, ofh), posix-crash(root, fs, ofh, tree, fs0, ofh0) ⊦ ⟨skip⟩ posix-crash(root, fs, ofh, tree, fs0, ofh0), ∃ err. pre-close(fd, err, user, root, fs, ofh) ∧ ⟨err0 := err; if err0 = ESUCCESS then let fid = ofh[fd].fid in {ofh := ofh -- fd; if ¬ fid ∈ ofh.fids ∧ ¬ fid ∈ root.fids then fs := fs -- fid}⟩ posix-crash(root, fs, ofh, tree, fs0, ofh0) |