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Proof step 96 from proof junkrefs-put-nopathexplus-equiv (previous step)

st[r -- i '] = refval(refs .first), step∃(str, refs .last, r0, st), validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st), st[r -- _type] .type ≤ ty, is_array(str, r, st), 0 ≤ i, 0 < st[r -- _length] .intval, i < st[r -- _length] .intval, junkrefs(str, refs .first ' + refs1, st[r -- _type] .type .type, st), ∀ val, sk, r0, st0, ty, r2, str, refs0. # refs0 < # (refs .first + refs1) → (junkrefs(str, r2 ' + refs0, ty, st0) → junkrefs(str, r2 ' + refs0, ty, st0[r0 -- sk, val]) ∨ sk = _type ∨ path∃+(str, r2, r0, st0)) ⊦ refs = [], r = jvmref, sk = _type, r = r0, refs .first = r0, junkrefs(str, refs .first ' + refs1, st[r -- _type] .type .type, st[r0 -- sk, val]), ∃ refs. refs ≠ [] ∧ refs .first = r ∧ validrefs(str, refs, mkclasstype(`java.lang.Object' .class), st) ∧ step∃(str, refs .last, r0, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 ,[refs, r, refs0] → [refs, r1, refs2] ,T ,list-data ,references-olista ,elim-list-c ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : refs ≠ [] ⊦ r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0])], [EXTRATERMS : (refs, r1, refs2)]]