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Theorem modify

⊦ modify(rs)(h0, h1) ↔ (∃ r. ¬ r ∈ rs ∧ r ≠ null ∧ ¬ r ∈ h0 ∧ h1 = h0 ++ r) ∨ (∃ r, o. ¬ r ∈ rs ∧ r ∈ h0 ∧ h1 = h0[r, o]) ∨ (∃ r. ¬ r ∈ rs ∧ r ∈ h0 ∧ h1 = h0 -- r)