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Theorem stateNotNull-def

⊦ stateNotNull(s) ↔ (∀ str, ag. s(state(str), ag) ≠ null → (∀ str0, ag0. ag ≠ ag0 ∨ str0 ≠ str → s(state(str0), ag0) = null) ∧ (∀ cmd0, ag0. s(Mailbox(cmd0), ag0) = null))