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Proof step 68 from proof junkref-addobj-01 (previous step)

fis .keys = instfields(class), newref(refs .first, st), class+∃(str, class), validfieldinits(fis, st), junkrefs(str, refs, mkclasstype(class), addobj(refs .first, class, fis, st)), ∀ sk, r1. sk × refval(r1) ∈ fis → ¬ junkref(str, r1, st) ⊦ refs .first = jvmref, refs = [], is_abstract(class)

User applied rule insert elim lemma

And obtained the following new goals

Proof step 67:
refs = r + refs0, fis .keys = instfields(class), newref(r, st), class+∃(str, class), validfieldinits(fis, st), junkrefs(str, refs, mkclasstype(class), addobj(r, class, fis, st)), ∀ sk, r1. sk × refval(r1) ∈ fis → ¬ junkref(str, r1, st) ⊦ r = jvmref, refs = [], is_abstract(class)

Rule argument

[speclemmaarg: ,refs ≠ [] → (r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0) ,[refs, r, refs0] → [refs, r, refs0] ,T ,list-data ,references-olista ,elim-1 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ refs ≠ [] → ( r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0)])], [EXTRATERMS : (refs, r, refs0)]]