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Theorem maxOneNotNull-def

⊦ maxOneNotNull(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)) ∧ (∀ cmd, ag. s(Mailbox(cmd), ag) ≠ null → (∀ str0, ag0. s(state(str0), ag0) = null) ∧ (∀ cmd0, ag0. ag ≠ ag0 ∨ cmd0 ≠ cmd → s(Mailbox(cmd0), ag0) = null))