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Proof step 58 from proof junkref-addarray-01 (previous step)

refs0 .first = vals[i→n(i)] .refval, 0 ≤ i, junkrefs(str, refs0, ty, addarray(r, ty, vals, st)), is_referencevalue(vals[i→n(i)]), i < n→i(# vals), class∃(str, ty .class), is_classtype(ty), newref(r, st), is_array(str, r, addarray(r, ty, vals, st)), ∀ val. val ∈ vals → ¬ junkref(str, val .refval, st) ∧ is_referencevalue(val) ∧ (val .refval ≠ jvmref → st[val .refval -- _type] .type ≤ ty) ⊦ refs0 = [], r = jvmref, vals = []

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 57:
refs0 = r0 + refs, r0 = vals[i→n(i)] .refval, 0 ≤ i, junkrefs(str, refs0, ty, addarray(r, ty, vals, st)), is_referencevalue(vals[i→n(i)]), i < n→i(# vals), class∃(str, ty .class), is_classtype(ty), newref(r, st), is_array(str, r, addarray(r, ty, vals, st)), ∀ val. val ∈ vals → ¬ junkref(str, val .refval, st) ∧ is_referencevalue(val) ∧ (val .refval ≠ jvmref → st[val .refval -- _type] .type ≤ ty) ⊦ refs0 = [], r = jvmref, vals = []

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)]]