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Theorem proofobls-normedforwardsim

⊦ nfwsim(IOAut(cstart, cstep, cext), IOAut(astart, astep, aext), r, size01f) ↔ (∀ cs. cstart(cs) → (∃ as. r(as, cs) ∧ astart(as))) ∧ (∀ cs, ca, cs', as. r(as, cs) ∧ cstep(cs, ca, cs') → r(as, cs') ∧ cext(ca) = None ∨ (∃ as', aa. aext(aa) = cext(ca) ∧ astep(as, aa, as') ∧ r(as', cs')) ∨ (∃ as', aa. astep(as, aa, as') ∧ aext(aa) = None ∧ r(as', cs) ∧ size01f(cs, ca, cs', as') < size01f(cs, ca, cs', as)))