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Proof step 4 from proof lastoc-C-event (previous step)

viewvar(tr .last) = C, ∀ tr0, viewvar, ev. # tr0 < # tr → (viewvar(ev) = C ∧ ev ∈ tr0 → (∃ tr2, ev0, tr1. tr0 = tr2 + ev0 ' + tr1 ∧ viewvar(ev0) = C ∧ proj(tr1, Cview(viewvar)) = [])) ⊦ tr = [], tr .last ∈ tr .butlast, ∃ tr0, ev0, tr1. tr = tr0 + ev0 ' + tr1 ∧ viewvar(ev0) = C ∧ proj(tr1, Cview(viewvar)) = []

User applied rule insert elim lemma

And obtained the following new goals

Proof step 3:
tr = tr3 + ev1 ', viewvar(ev1) = C, ∀ tr0, viewvar, ev. # tr0 < # tr → (viewvar(ev) = C ∧ ev ∈ tr0 → (∃ tr2, ev0, tr1. tr0 = tr2 + ev0 ' + tr1 ∧ viewvar(ev0) = C ∧ proj(tr1, Cview(viewvar)) = [])) ⊦ tr = [], ev1 ∈ tr3, ∃ tr0, ev0, tr1. tr = tr0 + ev0 ' + tr1 ∧ viewvar(ev0) = C ∧ proj(tr1, Cview(viewvar)) = []

Rule argument

[x0lemmaarg: spec-name: list-last instance-name: trace lemma-name: last-elim antecedent: tr ≠ [] succedent: ev = tr .last ∧ tr0 = tr .butlast ↔ tr = tr0 + ev ' substlist: [tr, ev, tr0] → [tr, ev1, tr3] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: F replace all?: F paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : tr ≠ [] ⊦ ev = tr .last ∧ tr0 = tr .butlast ↔ tr = tr0 + ev '])], [EXTRATERMS : (tr, ev1, tr3)]]