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Proof step 27 from proof junkref-primarray-lvl (previous step)

refs0 .first = st[r -- i '] .refval, st[r -- _type] = typeval(mkarraytype(ty)), is_referencevalue(st[r -- i ']), i < st[r -- _length] .intval, is_valid_ref(str, r, st), 0 < st[r -- _length] .intval, 0 ≤ i, is_array(str1, r, st), is_primtype(ty), junkrefs(str1, refs0, ty, st) ⊦ refs0 = [], r = jvmref, junkrefs(str, r ' + refs0, mkarraytype(ty), st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 26:
refs0 = r0 + refs, r0 = st[r -- i '] .refval, st[r -- _type] = typeval(mkarraytype(ty)), is_referencevalue(st[r -- i ']), i < st[r -- _length] .intval, is_valid_ref(str, r, st), 0 < st[r -- _length] .intval, 0 ≤ i, is_array(str1, r, st), is_primtype(ty), junkrefs(str1, refs0, ty, st) ⊦ refs0 = [], r = jvmref, junkrefs(str, r ' + refs0, mkarraytype(ty), st)

Rule argument

[speclemmaarg: refs ≠ [] ,r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0 ,[refs, r, refs0] → [refs0, r0, refs] ,T ,list-data ,references-olista ,elim-list-c ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : refs ≠ [] ⊦ r = refs .first ∧ refs0 = refs .rest ↔ refs = r + refs0])], [EXTRATERMS : (refs0, r0, refs)]]