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Proof step 5 from proof inv-rmdir (previous step)

err0 = err1, root.dir?, fids-cons(root, fs, ofh), pre-rmdir(path, err, user, root, fs, ofh) ⊦ ⟪if err = ESUCCESS then root := root -- path; psynced := ?⟫ (root.dir? ∧ fids-cons(root, fs, ofh))

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

Additional information