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Proof step 4 from proof osc-intro (previous step)

osc(view, trans, eqstate), reachable(trans, s1), reachable(trans, s0), trans(s0, ev, s), eqstate(s0, s1) ⊦ view(ev) = C, ∃ s2, tr. proj(tr, Cview(view)) = [] ∧ proj(tr, Vview(view)) = proj(ev ', Vview(view)) ∧ trans∃(trans, s1, tr, s2) ∧ eqstate(s, s2)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ osc(view, trans, eqstate) ↔ (∀ s1, s11, s22. ∀ ev. view(ev) ≠ C ∧ reachable(trans, s1) ∧ reachable(trans, s11) ∧ trans(s11, ev, s22) ∧ eqstate(s11, s1) → (∃ s2. ∃ tr. proj(tr, Cview(view)) = [] ∧ proj(tr, Vview(view)) = proj(ev ', Vview(view)) ∧ trans∃(trans, s1, tr, s2) ∧ eqstate(s22, s2)))

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: osc-def antecedent: succedent: osc(view, trans, eqstate) ↔ (∀ s1, s11, s22. ∀ ev. view(ev) ≠ C ∧ reachable(trans, s1) ∧ reachable(trans, s11) ∧ trans(s11, ev, s22) ∧ eqstate(s11, s1) → (∃ s2. ∃ tr. proj(tr, Cview(view)) = [] ∧ proj(tr, Vview(view)) = proj(ev ', Vview(view)) ∧ trans∃(trans, s1, tr, s2) ∧ eqstate(s22, s2))) substlist: [eqstate, trans, view] → [eqstate, trans, view] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((0, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (eqstate, trans, view)]]