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Proof step 35 from proof junkrefs-put-badarrayindex (previous step)

acc .first = (st[r0 -- i ', val][r -- i0 ']) .refval, is_array(str, r, st[r0 -- i ', val]), st[r -- _type] .type ≤ ty, is_array(str, r, st), i0 < st[r -- _length] .intval, is_referencevalue(st[r0 -- i ', val][r -- i0 ']), junkrefs(str, acc, st[r -- _type] .type .type, st[r0 -- i ', val]), 0 ≤ i0, 0 < st[r -- _length] .intval, ∀ str, ty, st, r0, i, val. junkrefs(str, acc, ty, st[r0 -- i ', val]) → junkrefs(str, acc, ty, st) ∨ is_array(str, r0, st) ⊦ r = jvmref, acc = [], is_array(str, r0, st), junkrefs(str, r ' + acc, ty, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 34:
acc = r1 + refs, r1 = (st[r0 -- i ', val][r -- i0 ']) .refval, is_array(str, r, st[r0 -- i ', val]), st[r -- _type] .type ≤ ty, is_array(str, r, st), i0 < st[r -- _length] .intval, is_referencevalue(st[r0 -- i ', val][r -- i0 ']), junkrefs(str, acc, st[r -- _type] .type .type, st[r0 -- i ', val]), 0 ≤ i0, 0 < st[r -- _length] .intval, ∀ str, ty, st, r0, i, val. junkrefs(str, acc, ty, st[r0 -- i ', val]) → junkrefs(str, acc, ty, st) ∨ is_array(str, r0, st) ⊦ r = jvmref, acc = [], is_array(str, r0, st), junkrefs(str, r ' + acc, ty, st)

Rule argument

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

Additional information

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